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Author : J. R. Higgins
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)
Download or read book Completeness and basic properties of sets of special functions written by J. R. Higgins and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. R. Higgins
Publisher : Cambridge University Press
ISBN 13 : 9780521604888
Total Pages : 152 pages
Book Rating : 4.6/5 (48 download)
Download or read book Completeness and Basis Properties of Sets of Special Functions written by J. R. Higgins and published by Cambridge University Press. This book was released on 2004-06-03 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces.
Author : J. R. Higgins
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)
Download or read book Completeness and basic properties of sets of special functions written by J. R. Higgins and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : HIGGINS, JR.
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (985 download)
Download or read book COMPLETENESS AND BASIS PROPERTIES OF SETS OF SPECIAL FUNCTIONS (72). written by HIGGINS, JR. and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sergei Suslov
Publisher : Springer Science & Business Media
ISBN 13 : 1475737319
Total Pages : 379 pages
Book Rating : 4.4/5 (757 download)
Download or read book An Introduction to Basic Fourier Series written by Sergei Suslov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: It was with the publication of Norbert Wiener's book ''The Fourier In tegral and Certain of Its Applications" [165] in 1933 by Cambridge Univer sity Press that the mathematical community came to realize that there is an alternative approach to the study of c1assical Fourier Analysis, namely, through the theory of c1assical orthogonal polynomials. Little would he know at that time that this little idea of his would help usher in a new and exiting branch of c1assical analysis called q-Fourier Analysis. Attempts at finding q-analogs of Fourier and other related transforms were made by other authors, but it took the mathematical insight and instincts of none other then Richard Askey, the grand master of Special Functions and Orthogonal Polynomials, to see the natural connection between orthogonal polynomials and a systematic theory of q-Fourier Analysis. The paper that he wrote in 1993 with N. M. Atakishiyev and S. K Suslov, entitled "An Analog of the Fourier Transform for a q-Harmonic Oscillator" [13], was probably the first significant publication in this area. The Poisson k~rnel for the contin uous q-Hermite polynomials plays a role of the q-exponential function for the analog of the Fourier integral under considerationj see also [14] for an extension of the q-Fourier transform to the general case of Askey-Wilson polynomials. (Another important ingredient of the q-Fourier Analysis, that deserves thorough investigation, is the theory of q-Fourier series.
Author : Bruce C. Berndt
Publisher : American Mathematical Soc.
ISBN 13 : 0821827464
Total Pages : 290 pages
Book Rating : 4.8/5 (218 download)
Download or read book $q$-Series with Applications to Combinatorics, Number Theory, and Physics written by Bruce C. Berndt and published by American Mathematical Soc.. This book was released on 2001 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of $q$-series can be said to begin with Euler and his pentagonal number theorem. In fact, $q$-series are sometimes called Eulerian series. Contributions were made by Gauss, Jacobi, and Cauchy, but the first attempt at a systematic development, especially from the point of view of studying series with the products in the summands, was made by E. Heine in 1847. In the latter part of the nineteenth and in the early part of the twentieth centuries, two Englishmathematicians, L. J. Rogers and F. H. Jackson, made fundamental contributions. In 1940, G. H. Hardy described what we now call Ramanujan's famous $ 1\psi 1$ summation theorem as ``a remarkable formula with many parameters.'' This is now one of the fundamental theorems of the subject. Despite humble beginnings,the subject of $q$-series has flourished in the past three decades, particularly with its applications to combinatorics, number theory, and physics. During the year 2000, the University of Illinois embraced The Millennial Year in Number Theory. One of the events that year was the conference $q$-Series with Applications to Combinatorics, Number Theory, and Physics. This event gathered mathematicians from the world over to lecture and discuss their research. This volume presents nineteen of thepapers presented at the conference. The excellent lectures that are included chart pathways into the future and survey the numerous applications of $q$-series to combinatorics, number theory, and physics.
Author : Mourad E. H. Ismail
Publisher : Springer Science & Business Media
ISBN 13 : 0387242333
Total Pages : 497 pages
Book Rating : 4.3/5 (872 download)
Download or read book Theory and Applications of Special Functions written by Mourad E. H. Ismail and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles on various aspects of q-series and special functions dedicated to Mizan Rahman. It also includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject.
Author : Vidyadhar Mandrekar
Publisher : American Mathematical Soc.
ISBN 13 : 9780821867570
Total Pages : 622 pages
Book Rating : 4.8/5 (675 download)
Download or read book Proceedings of the Norbert Wiener Centenary Congress, 1994 written by Vidyadhar Mandrekar and published by American Mathematical Soc.. This book was released on 1997-01-01 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematician on par with the greatest in the century, Norbert Wiener was a universal thinker of colossal proportions. This book contains the proceedings of the Norbert Wiener Centenary Congress held at Michigan State University on November 27-December 2, 1994. The aim of the Congress was to reveal the depth and strong coherence of thought that runs through Wiener's legacy, and to exhibit its continuation in on-going research. This volume brings together the great minds who have furthered Wiener's ideas in physics, stochastics, harmonic analysis, philosophy, prosthesis and cybernetics. The presentations coherently lay out the developments of the subjects from their inception. This volume provides an excellent pathway for new investigators who may wish to pursue these developments by following the footsteps of world experts. There is no other book available in which experts in the various fields in which Wiener worked have presented his thoughts and contributions insuch a coherent and lucid manner.
Author :
Publisher : CUP Archive
ISBN 13 : 9781001313375
Total Pages : 160 pages
Book Rating : 4.3/5 (133 download)
Download or read book An Introduction to Homotopy Theory written by and published by CUP Archive. This book was released on with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arie Feuer
Publisher : Springer Science & Business Media
ISBN 13 : 1461224608
Total Pages : 570 pages
Book Rating : 4.4/5 (612 download)
Download or read book Sampling in Digital Signal Processing and Control written by Arie Feuer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undoubtably one of the key factors influencing recent technology has been the advent of high speed computational tools. Virtually every advanced engi neering system we come in contact with these days depends upon some form of sampling and digital signal processing. Well known examples are digital tele phone systems, digital recording of audio signals and computer control. These developments have been matched by the appearance of a plethora of books which explain a variety of analysis, synthesis and design tools applica ble to sampled-data systems. The reader might therefore wonder what is distinc tive about the current book. Our observation of the existing literature is that the underlying continuous-time system is usually forgotten once the samples are tak en. The alternative point of view, adopted in this book, is to formulate the analy sis in such a way that the user is constantly reminded of the presence of the under lying continuous-time signals. We thus give emphasis to two aspects of sampled-data analysis: Firstly, we formulate the various algorithms so that the appropriate contin uous-time case is approached as the sampling rate increases. Secondly we place emphasis on the continuous-time output response rath er than simply focusing on the sampled response.
Author : John L. Troutman
Publisher : Courier Dover Publications
ISBN 13 : 0486812227
Total Pages : 516 pages
Book Rating : 4.4/5 (868 download)
Download or read book Boundary Value Problems of Applied Mathematics written by John L. Troutman and published by Courier Dover Publications. This book was released on 2017-06-21 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is geared toward advanced undergraduates and graduate students in mathematics who have some familiarity with multidimensional calculus and ordinary differential equations. Includes a substantial number of answers to selected problems. 1994 edition.
Author : Refaat El Attar
Publisher : Lulu.com
ISBN 13 : 0557037638
Total Pages : 311 pages
Book Rating : 4.5/5 (57 download)
Download or read book Special Functions written by Refaat El Attar and published by Lulu.com. This book was released on 2005-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Hardcover). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It is written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in engineering, physics, mathematics and applied sciences. The book is organized in chapters that are in a sense self contained. Chapter 1 deals with series solutions of Differential Equations. Gamma and Beta functions are studied in Chapter 2 together with other functions that are defined by integrals. Legendre Polynomials and Functions are studied in Chapter 3. Chapters 4 and 5 deal with Hermite, Laguerre and other Orthogonal Polynomials. A detailed treatise of Bessel Function in given in Chapter 6.
Author : Robert M. Young
Publisher : Academic Press
ISBN 13 : 9780127729558
Total Pages : 254 pages
Book Rating : 4.7/5 (295 download)
Download or read book An Introduction to Non-Harmonic Fourier Series, Revised Edition, 93 written by Robert M. Young and published by Academic Press. This book was released on 2001-05-16 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook. Throughout the book, material has also been added on recent developments, including stability theory, the frame radius, and applications to signal analysis and the control of partial differential equations.
Author : Refaat El Attar
Publisher : Lulu.com
ISBN 13 : 1411666909
Total Pages : 312 pages
Book Rating : 4.4/5 (116 download)
Download or read book Special Functions and Orthogonal Polynomials written by Refaat El Attar and published by Lulu.com. This book was released on 2006 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: (308 Pages). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It is written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in engineering, physics, mathematics and applied sciences. The book is organized in chapters that are in a sense self contained. Chapter 1 deals with series solutions of Differential Equations. Gamma and Beta functions are studied in Chapter 2 together with other functions that are defined by integrals. Legendre Polynomials and Functions are studied in Chapter 3. Chapters 4 and 5 deal with Hermite, Laguerre and other Orthogonal Polynomials. A detailed treatise of Bessel Function in given in Chapter 6.
Author : Richard Beals
Publisher : Cambridge University Press
ISBN 13 : 1139490435
Total Pages : pages
Book Rating : 4.1/5 (394 download)
Download or read book Special Functions written by Richard Beals and published by Cambridge University Press. This book was released on 2010-08-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference.
Author : Stephen D. Casey
Publisher : Springer Nature
ISBN 13 : 3031411307
Total Pages : 580 pages
Book Rating : 4.0/5 (314 download)
Download or read book Sampling, Approximation, and Signal Analysis written by Stephen D. Casey and published by Springer Nature. This book was released on 2024-01-04 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters written by distinguished mathematicians that explore cutting-edge research in sampling, approximation, signal analysis, and other related areas. An introductory chapter provides a biography of Higgins that explores his rich and unique life, along with a bibliography of his papers; a brief history of the SampTA meetings – of which he was a Founding Member – is also included. The remaining articles are grouped into four sections – classical sampling, theoretical extensions, frame theory, and applications of sampling theory – and explore Higgins’ contributions to these areas, as well as some of the latest developments.
Author : Richard Beals
Publisher : Cambridge University Press
ISBN 13 : 1107106982
Total Pages : 489 pages
Book Rating : 4.1/5 (71 download)
Download or read book Special Functions and Orthogonal Polynomials written by Richard Beals and published by Cambridge University Press. This book was released on 2016-05-17 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive graduate-level introduction to classical and contemporary aspects of special functions.
