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Author : Frank Joseph McMackin
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)
Download or read book Some Theorems in the Theory of Summable Divergent Series written by Frank Joseph McMackin and published by . This book was released on 1916 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lloyd Leroy Smail
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.M/5 ( download)
Download or read book Some Generalizations in the Theory of Summable Divergent Series written by Lloyd Leroy Smail and published by . This book was released on 1913 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Glenn James
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.:/5 (5 download)
Download or read book Some Theorems on the Summation of Divergent Series written by Glenn James and published by . This book was released on 1917 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lloyd Leroy Smail
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.F/5 ( download)
Download or read book History and Synopsis of the Theory of Summable Infinite Processes written by Lloyd Leroy Smail and published by . This book was released on 1925 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter Burton Ford
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.A/5 ( download)
Download or read book Studies on Divergent Series and Summability written by Walter Burton Ford and published by . This book was released on 1916 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles Napoleon Moore
Publisher : American Mathematical Soc.
ISBN 13 : 0821846205
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)
Download or read book Summable Series and Convergence Factors written by Charles Napoleon Moore and published by American Mathematical Soc.. This book was released on 1938-12-31 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fairly early in the development of the theory of summability of divergent series, the concept of convergence factors was recognized as of fundamental importance in the subject. One of the pioneers in this field was C. N. Moore, the author of the book under review.... Moore classifies convergence factors into two types. In type I he places the factors which have only the property that they preserve convergence for a convergent series or produce convergence for a summable series. In type II he places the factors which not only maintain or produce convergence but have the additional property that they may be used to obtain the sum or generalized sum of the series. This book gives a generalized systematic treatment of the theory of convergence factors of both types, for simply infinite series and for multiple series, convergent and summable.... --Bulletin of the American Mathematical Society
Author : Walter B. Ford
Publisher : American Mathematical Soc.
ISBN 13 : 9780828401432
Total Pages : 356 pages
Book Rating : 4.4/5 (14 download)
Download or read book Studies on Divergent Series and Summability and The Asymptotic Developments of Functions Defined by Maclaurin Series written by Walter B. Ford and published by American Mathematical Soc.. This book was released on 1960-01-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers 2 main topics: asymptotic series and the theory of summability. This book provides a discussion of nowhere convergent asymptotic series that includes the so-called MacLaurent summation formula, determining asymptotic expansions of various classes of functions, and the study of asymptotic solutions of linear ordinary differential equations.
Author : Michèle Loday-Richaud
Publisher : Springer
ISBN 13 : 3319290754
Total Pages : 286 pages
Book Rating : 4.3/5 (192 download)
Download or read book Divergent Series, Summability and Resurgence II written by Michèle Loday-Richaud and published by Springer. This book was released on 2016-06-28 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability. These theories apply in particular to all solutions of ordinary differential equations. The volume includes applications, examples and revisits, from a cohomological point of view, the group of tangent-to-identity germs of diffeomorphisms of C studied in volume 1. With a view to applying the theories to solutions of differential equations, a detailed survey of linear ordinary differential equations is provided, which includes Gevrey asymptotic expansions, Newton polygons, index theorems and Sibuya’s proof of the meromorphic classification theorem that characterizes the Stokes phenomenon for linear differential equations. This volume is the second in a series of three, entitled Divergent Series, Summability and Resurgence. It is aimed at graduate students and researchers in mathematics and theoretical physics who are interested in divergent series, Although closely related to the other two volumes, it can be read independently.
Author : Emile Borel
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on Divergent Series written by Emile Borel and published by . This book was released on 1975 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Michels
Publisher :
ISBN 13 :
Total Pages : 604 pages
Book Rating : 4.E/5 ( download)
Download or read book Science written by John Michels and published by . This book was released on 1921 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Peyerimhoff
Publisher : Springer
ISBN 13 : 3540361529
Total Pages : 113 pages
Book Rating : 4.5/5 (43 download)
Download or read book Lectures on Summability written by Alexander Peyerimhoff and published by Springer. This book was released on 2006-11-15 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 642 pages
Book Rating : 4.:/5 (321 download)
Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 1916 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Mursaleen
Publisher : Springer Science & Business Media
ISBN 13 : 3319046098
Total Pages : 129 pages
Book Rating : 4.3/5 (19 download)
Download or read book Applied Summability Methods written by M. Mursaleen and published by Springer Science & Business Media. This book was released on 2014-03-27 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years. The book provides basic definitions of sequence spaces, matrix transformations, regular matrices and some special matrices, making the material accessible to mathematicians who are new to the subject. Among the core items covered are the proof of the Prime Number Theorem using Lambert's summability and Wiener's Tauberian theorem, some results on summability tests for singular points of an analytic function, and analytic continuation through Lototski summability. Almost summability is introduced to prove Korovkin-type approximation theorems and the last chapters feature statistical summability, statistical approximation, and some applications of summability methods in fixed point theorems.
Author : I.J. Maddox
Publisher : Springer
ISBN 13 : 3540389466
Total Pages : 128 pages
Book Rating : 4.5/5 (43 download)
Download or read book Infinite Matrices of Operators written by I.J. Maddox and published by Springer. This book was released on 2006-11-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P.N. Natarajan
Publisher : Springer
ISBN 13 : 9811042055
Total Pages : 139 pages
Book Rating : 4.8/5 (11 download)
Download or read book Classical Summability Theory written by P.N. Natarajan and published by Springer. This book was released on 2017-04-25 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books. It proves a few results on the Cauchy multiplication of certain summable series and some product theorems. It also proves a number of Steinhaus type theorems. In addition, it introduces a new definition of convergence of a double sequence and double series and proves the Silverman-Toeplitz theorem for four-dimensional infinite matrices, as well as Schur's and Steinhaus theorems for four-dimensional infinite matrices. The Norlund method, the Weighted mean method and the Natarajan method for double sequences are also discussed in the context of the new definition. Divided into six chapters, the book supplements the material already discussed in G.H.Hardy's Divergent Series. It appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory..
Author : Hemen Dutta
Publisher : Springer
ISBN 13 : 9811009139
Total Pages : 436 pages
Book Rating : 4.8/5 (11 download)
Download or read book Current Topics in Summability Theory and Applications written by Hemen Dutta and published by Springer. This book was released on 2016-04-28 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments in and contemporary research on summability theory, including general summability methods, direct theorems on summability, absolute and strong summability, special methods of summability, functional analytic methods in summability, and related topics and applications. All contributing authors are eminent scientists, researchers and scholars in their respective fields, and hail from around the world. The book can be used as a textbook for graduate and senior undergraduate students, and as a valuable reference guide for researchers and practitioners in the fields of summability theory and functional analysis. Summability theory is generally used in analysis and applied mathematics. It plays an important part in the engineering sciences, and various aspects of the theory have long since been studied by researchers all over the world.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 582 pages
Book Rating : 4.:/5 (321 download)
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1913 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:
