Some Generalizations in the Theory of Summable Divergent Series

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ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.M/5 ( download)

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Book Synopsis Some Generalizations in the Theory of Summable Divergent Series by : Lloyd Leroy Smail

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:

Some Theorems in the Theory of Summable Divergent Series

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ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Some Theorems in the Theory of Summable Divergent Series by : Frank Joseph McMackin

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:

Summable Series and Convergence Factors

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846205
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Summable Series and Convergence Factors by : Charles Napoleon Moore

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

Lectures on Divergent Series

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ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Lectures on Divergent Series by : Emile Borel

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:

Publications

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ISBN 13 :
Total Pages : 876 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Publications by : University of Oregon

Download or read book Publications written by University of Oregon and published by . This book was released on 1923 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:

University of Oregon Publication

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ISBN 13 :
Total Pages : 876 pages
Book Rating : 4.1/5 (36 download)

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Book Synopsis University of Oregon Publication by : University of Oregon

Download or read book University of Oregon Publication written by University of Oregon and published by . This book was released on 1923 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Divergent Series, Summability and Resurgence II

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Publisher : Springer
ISBN 13 : 3319290754
Total Pages : 286 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Divergent Series, Summability and Resurgence II by : Michèle Loday-Richaud

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.

Studies on Divergent Series and Summability

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ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Studies on Divergent Series and Summability by : Walter Burton Ford

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:

Damped Vibrations

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ISBN 13 :
Total Pages : 910 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Damped Vibrations by : E. H. McAlister

Download or read book Damped Vibrations written by E. H. McAlister and published by . This book was released on 1926 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Science

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ISBN 13 :
Total Pages : 962 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Science by : John Michels (Journalist)

Download or read book Science written by John Michels (Journalist) and published by . This book was released on 1916 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1911-13 contain the Proceedings of the Helminothological Society of Washington, ISSN 0018-0120, 1st-15th meeting.

Bulletin of the American Mathematical Society

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ISBN 13 :
Total Pages : 582 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society

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:

Bulletin (new Series) of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 642 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Bulletin (new Series) of the American Mathematical Society by :

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:

Columbia University Quarterly

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ISBN 13 :
Total Pages : 508 pages
Book Rating : 4.X/5 (3 download)

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Book Synopsis Columbia University Quarterly by :

Download or read book Columbia University Quarterly written by and published by . This book was released on 1913 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 6 includes 150th anniversary number.

Summability Theory and Its Applications

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Publisher : CRC Press
ISBN 13 : 1000599183
Total Pages : 865 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Summability Theory and Its Applications by : Feyzi Başar

Download or read book Summability Theory and Its Applications written by Feyzi Başar and published by CRC Press. This book was released on 2022-06-27 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner. The content can readily serve as a reference or as a useful series of lecture notes on the subject. This substantially revised new edition includes brand new material across several chapters as well as several corrections, including: the addition of the domain of Cesaro matrix C(m) of order m in the classical sequence spaces to Chapter 4; and introducing the domain of four-dimensional binomial matrix in the spaces of bounded, convergent in the Pringsheim's sense, both convergent in the Pringsheim's sense and bounded, and regularly convergent double sequences, in Chapter 7. Features Investigates different types of summable spaces and computes their dual Suitable for graduate students and researchers with a (special) interest in spaces of single and double sequences, matrix transformations and domains of triangle matrices Can serve as a reference or as supplementary reading in a computational physics course, or as a key text for special Analysis seminars.

Divergent Series, Summability and Resurgence III

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Publisher : Springer
ISBN 13 : 3319290002
Total Pages : 252 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Divergent Series, Summability and Resurgence III by : Eric Delabaere

Download or read book Divergent Series, Summability and Resurgence III written by Eric Delabaere and published by Springer. This book was released on 2016-06-28 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called “bridge equation”, which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlevé equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1.

Divergent Series, Summability and Resurgence I

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Publisher : Springer
ISBN 13 : 3319287362
Total Pages : 314 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Divergent Series, Summability and Resurgence I by : Claude Mitschi

Download or read book Divergent Series, Summability and Resurgence I written by Claude Mitschi and published by Springer. This book was released on 2016-08-27 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh’s point of view. The second part expounds 1-summability and Ecalle’s theory of resurgence under fairly general conditions. It contains numerous examples and presents an analysis of the singularities in the Borel plane via “alien calculus”, which provides a full description of the Stokes phenomenon for linear or non-linear differential or difference equations. The first of a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists interested in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra.

University of Michigan Studies

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Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis University of Michigan Studies by :

Download or read book University of Michigan Studies written by and published by . This book was released on 1916 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: