On the Higher-Order Sheffer Orthogonal Polynomial Sequences

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Publisher : Springer Science & Business Media
ISBN 13 : 1461459699
Total Pages : 118 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis On the Higher-Order Sheffer Orthogonal Polynomial Sequences by : Daniel J. Galiffa

Download or read book On the Higher-Order Sheffer Orthogonal Polynomial Sequences written by Daniel J. Galiffa and published by Springer Science & Business Media. This book was released on 2013-01-04 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the Higher-Order Sheffer Orthogonal Polynomial Sequences sheds light on the existence/non-existence of B-Type 1 orthogonal polynomials. This book presents a template for analyzing potential orthogonal polynomial sequences including additional higher-order Sheffer classes. This text not only shows that there are no OPS for the special case the B-Type 1 class, but that there are no orthogonal polynomial sequences for the general B-Type 1 class as well. Moreover, it is quite provocative how the seemingly subtle transition from the B-Type 0 class to the B-Type 1 class leads to a drastically more difficult characterization problem. Despite this issue, a procedure is established that yields a definite answer to our current characterization problem, which can also be extended to various other characterization problems as well. Accessible to undergraduate students in the mathematical sciences and related fields, This book functions as an important reference work regarding the Sheffer sequences. The author takes advantage of Mathematica 7 to display unique detailed code and increase the reader's understanding of the implementation of Mathematica 7 and facilitate further experimentation. In addition, this book provides an excellent example of how packages like Mathematica 7 can be used to derive rigorous mathematical results.

Polynomial Sequences

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311075732X
Total Pages : 598 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Polynomial Sequences by : Francesco Aldo Costabile

Download or read book Polynomial Sequences written by Francesco Aldo Costabile and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-12-18 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1556080085
Total Pages : 556 pages
Book Rating : 4.5/5 (56 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1993-01-31 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Encyclopedia of Statistical Sciences, Volume 12

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Publisher : John Wiley & Sons
ISBN 13 : 0471744069
Total Pages : 562 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Encyclopedia of Statistical Sciences, Volume 12 by :

Download or read book Encyclopedia of Statistical Sciences, Volume 12 written by and published by John Wiley & Sons. This book was released on 2005-12-16 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: ENCYCLOPEDIA OF STATISTICAL SCIENCES

CRC Concise Encyclopedia of Mathematics

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Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Umbral Calculus

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Publisher : Courier Dover Publications
ISBN 13 : 0486834131
Total Pages : 209 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Umbral Calculus by : Steven Roman

Download or read book Umbral Calculus written by Steven Roman and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus requires only an acquaintance with the basic notions of algebra and a bit of applied mathematics (such as differential equations) to help put the theory in mathematical perspective. The text focuses on classical umbral calculus, which dates back to the 1850s and continues to receive the attention of modern mathematicians. Subjects include Sheffer sequences and operators and their adjoints, with numerous examples of associated and other sequences. Related topics encompass the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. The final chapter offers a glimpse of the newer and less well-established forms of umbral calculus.

Algebraic Methods in Statistics and Probability

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Publisher : American Mathematical Soc.
ISBN 13 : 0821826875
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Methods in Statistics and Probability by : Marlos A. G. Viana

Download or read book Algebraic Methods in Statistics and Probability written by Marlos A. G. Viana and published by American Mathematical Soc.. This book was released on 2001 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.

Encyclopedia of Statistical Sciences

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Publisher :
ISBN 13 :
Total Pages : 888 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Encyclopedia of Statistical Sciences by : Samuel Kotz

Download or read book Encyclopedia of Statistical Sciences written by Samuel Kotz and published by . This book was released on 1982 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Combinatorics

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Publisher : Routledge
ISBN 13 : 1351467506
Total Pages : 382 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Algebraic Combinatorics by : Chris Godsil

Download or read book Algebraic Combinatorics written by Chris Godsil and published by Routledge. This book was released on 2017-10-19 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate level text is distinguished both by the range of topics and the novelty of the material it treats--more than half of the material in it has previously only appeared in research papers. The first half of this book introduces the characteristic and matchings polynomials of a graph. It is instructive to consider these polynomials together because they have a number of properties in common. The matchings polynomial has links with a number of problems in combinatorial enumeration, particularly some of the current work on the combinatorics of orthogonal polynomials. This connection is discussed at some length, and is also in part the stimulus for the inclusion of chapters on orthogonal polynomials and formal power series. Many of the properties of orthogonal polynomials are derived from properties of characteristic polynomials. The second half of the book introduces the theory of polynomial spaces, which provide easy access to a number of important results in design theory, coding theory and the theory of association schemes. This book should be of interest to second year graduate text/reference in mathematics.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1164 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorics: The Rota Way

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Publisher : Cambridge University Press
ISBN 13 : 1139476769
Total Pages : 397 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Combinatorics: The Rota Way by : Joseph P. S. Kung

Download or read book Combinatorics: The Rota Way written by Joseph P. S. Kung and published by Cambridge University Press. This book was released on 2009-02-09 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gian-Carlo Rota was one of the most original and colourful mathematicians of the 20th century. His work on the foundations of combinatorics focused on the algebraic structures that lie behind diverse combinatorial areas, and created a new area of algebraic combinatorics. Written by two of his former students, this book is based on notes from his influential graduate courses and on face-to-face discussions. Topics include sets and valuations, partially ordered sets, distributive lattices, partitions and entropy, matching theory, free matrices, doubly stochastic matrices, Moebius functions, chains and antichains, Sperner theory, commuting equivalence relations and linear lattices, modular and geometric lattices, valuation rings, generating functions, umbral calculus, symmetric functions, Baxter algebras, unimodality of sequences, and location of zeros of polynomials. Many exercises and research problems are included, and unexplored areas of possible research are discussed. A must-have for all students and researchers in combinatorics and related areas.

Differential Algebra, Complex Analysis and Orthogonal Polynomials

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848860
Total Pages : 241 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Differential Algebra, Complex Analysis and Orthogonal Polynomials by : Primitivo B. Acosta Humanez

Download or read book Differential Algebra, Complex Analysis and Orthogonal Polynomials written by Primitivo B. Acosta Humanez and published by American Mathematical Soc.. This book was released on 2010 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the 2007-2008 Jairo Charris Seminar in Algebra and Analysis on Differential Algebra, Complex Analysis and Orthogonal Polynomials, which was held at the Universidad Sergio Arboleda in Bogota, Colombia.

Polynomial Expansions of Analytic Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 3642878873
Total Pages : 85 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Polynomial Expansions of Analytic Functions by : Ralph P.Jr. Boas

Download or read book Polynomial Expansions of Analytic Functions written by Ralph P.Jr. Boas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations. It thus represents a synthesis of two branches of analysis which have been developing almost independently. On the one hand there has grown up a body of results dealing with the more or less formal prop erties of sets of polynomials which possess simple generating relations. Much of this material is summarized in the Bateman compendia (ERDELYI [1J, vol. III, chap. 19) and in TRUESDELL [1J. On the other hand, a problem of fundamental interest in classical analysis is to study the representability of an analytic function j(z) as a series 2::CnPn(z), where {Pn} is a prescribed sequence of functions, and the connections between the function j and the coefficients en. BIEBERBACH'S mono graph Analytisehe Fortsetzung (Ergebnisse der Mathematik, new series, no. 3) can be regarded as a study of this problem for the special choice Pn (z) = zn, and illustrates the depth and detail which such a specializa tion allows. However, the wealth of available information about other sets of polynomials has seldom been put to work in this connection (the application of generating relations to expansion of functions is not even mentioned in the Bateman compendia). At the other extreme, J. M.

Geometry and Complex Variables

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Publisher : Routledge
ISBN 13 : 1351445286
Total Pages : 520 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Geometry and Complex Variables by : S. Coen

Download or read book Geometry and Complex Variables written by S. Coen and published by Routledge. This book was released on 2017-11-22 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie,B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearch.

Lectures on Orthogonal Polynomials and Special Functions

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Publisher : Cambridge University Press
ISBN 13 : 1108905420
Total Pages : 352 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Lectures on Orthogonal Polynomials and Special Functions by : Howard S. Cohl

Download or read book Lectures on Orthogonal Polynomials and Special Functions written by Howard S. Cohl and published by Cambridge University Press. This book was released on 2020-10-15 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts in their respective fields, this collection of pedagogic surveys provides detailed insight and background into five separate areas at the forefront of modern research in orthogonal polynomials and special functions at a level suited to graduate students. A broad range of topics are introduced including exceptional orthogonal polynomials, q-series, applications of spectral theory to special functions, elliptic hypergeometric functions, and combinatorics of orthogonal polynomials. Exercises, examples and some open problems are provided. The volume is derived from lectures presented at the OPSF-S6 Summer School at the University of Maryland, and has been carefully edited to provide a coherent and consistent entry point for graduate students and newcomers.

Finite Operator Calculus

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Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (296 download)

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Book Synopsis Finite Operator Calculus by : Gian-Carlo Rota

Download or read book Finite Operator Calculus written by Gian-Carlo Rota and published by . This book was released on 1972 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rivista di matematica della Università di Parma

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Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Rivista di matematica della Università di Parma by :

Download or read book Rivista di matematica della Università di Parma written by and published by . This book was released on 1973 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: