Download or read book Summability Methods for Divergent Series written by John Edward Weidlich and published by . This book was released on 1950 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Summability Methods of Certain Divergent Series written by Billy Ray Sneed and published by . This book was released on 1963 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Summability Methods for Divergent Series written by Jackie B. Garner and published by . This book was released on 1957 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Summability Methods of Divergent Series written by Luigina Sandra Cianfarani Sogliero and published by . This book was released on 1954 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Summability Methods of Divergent Series written by Kauzo Ishiguro and published by . This book was released on 1965 with total page 1054 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book On the Summability Methods of Divergent Series written by Kazuo Ishiguro and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Methods of Summability of Divergent Series written by Marcelle Mattie Walker and published by . This book was released on 1952 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ramanujan Summation of Divergent Series written by Bernard Candelpergher and published by Springer. This book was released on 2017-09-12 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical evaluation, a formula in terms of convergent series is provided by the use of Newton interpolation. The relation with other summation processes such as those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.
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 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Summability Calculus written by Ibrahim M. Alabdulmohsin and published by Springer. This book was released on 2018-03-07 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the foundations of "summability calculus", which is a comprehensive theory of fractional finite sums. It fills an important gap in the literature by unifying and extending disparate historical results. It also presents new material that has not been published before. Importantly, it shows how the study of fractional finite sums benefits from and contributes to many areas of mathematics, such as divergent series, numerical integration, approximation theory, asymptotic methods, special functions, series acceleration, Fourier analysis, the calculus of finite differences, and information theory. As such, it appeals to a wide audience of mathematicians whose interests include the study of special functions, summability theory, analytic number theory, series and sequences, approximation theory, asymptotic expansions, or numerical methods. Richly illustrated, it features chapter summaries, and includes numerous examples and exercises. The content is mostly developed from scratch using only undergraduate mathematics, such as calculus and linear algebra.
Download or read book A Comparison of the Methods of Summing Divergent Series written by Nina Luella Kramer and published by . This book was released on 1929 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Studies on Divergent Series and Summability Volume 2 written by Walter Burton Ford and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed study of divergent series and their summability. The author explores various methods for summability of divergent series, including Cesàro summation, Abel summation, and Borel summation. The book is suitable for advanced students and researchers in mathematics and related fields. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book The Summation Methods of Divergent Series and Sequences written by and published by . This book was released on 1929 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Definition of the Sum of a Divergent Series written by Louis Lazarus Silverman and published by . This book was released on 1913 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Summability of Divergent Series by the Methods of de la Vallee Poussin and Valiron written by James Morton Hyslop and published by . This book was released on 1935 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:
