Studies On Divergent Series And Summability And The Asymptotic Developments Of Functions Defined By Maclaurin Series

Author : Walter B. Ford
Publisher : American Mathematical Soc.
ISBN 13 : 9780828401432
Total Pages : 356 pages
Book Rating : 4.38/5 ( download)

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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 : Walter Burton Ford
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.95/5 ( download)

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Download or read book Studies on Divergent Series and Summability, and The Asymptotic Developments of Functions Defined by Maclaurin Series written by Walter Burton Ford and published by . This book was released on 1960 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Walter B. Ford
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.44/5 ( download)

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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 . This book was released on 1960 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Walter Burton 1874- Asymptotic Ford
Publisher : Hassell Street Press
ISBN 13 : 9781014068262
Total Pages : 360 pages
Book Rating : 4.66/5 ( download)

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Download or read book Studies on Divergent Series and Summability, and The Asymptotic Developments of Functions Defined by Maclaurin Series written by Walter Burton 1874- Asymptotic Ford and published by Hassell Street Press. This book was released on 2021-09-09 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Walter Burton Ford
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.23/5 ( download)

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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 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Walter Burton Ford
Publisher :
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.94/5 ( download)

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Download or read book The Asymptotic Developments of Functions Defined by Maclaurin Series written by Walter Burton Ford and published by . This book was released on 1936 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Yoshio Mikami
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.07/5 ( download)

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Download or read book The Development of Mathematics in China and Japan written by Yoshio Mikami and published by . This book was released on 1913 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Živorad Tomovski
Publisher : Springer Nature
ISBN 13 : 3030848175
Total Pages : 167 pages
Book Rating : 4.70/5 ( download)

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Download or read book Generalized Mathieu Series written by Živorad Tomovski and published by Springer Nature. This book was released on 2021-11-15 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathieu series is a functional series introduced by Émile Léonard Mathieu for the purposes of his research on the elasticity of solid bodies. Bounds for this series are needed for solving biharmonic equations in a rectangular domain. In addition to Tomovski and his coauthors, Pogany, Cerone, H. M. Srivastava, J. Choi, etc. are some of the known authors who published results concerning the Mathieu series, its generalizations and their alternating variants. Applications of these results are given in classical, harmonic and numerical analysis, analytical number theory, special functions, mathematical physics, probability, quantum field theory, quantum physics, etc. Integral representations, analytical inequalities, asymptotic expansions and behaviors of some classes of Mathieu series are presented in this book. A systematic study of probability density functions and probability distributions associated with the Mathieu series, its generalizations and Planck’s distribution is also presented. The book is addressed at graduate and PhD students and researchers in mathematics and physics who are interested in special functions, inequalities and probability distributions.

Author : Samuel W. Gilbert
Publisher : Riemann hypothesis
ISBN 13 : 9781439216385
Total Pages : 160 pages
Book Rating : 4.8X/5 ( download)

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Download or read book The Riemann Hypothesis and the Roots of the Riemann Zeta Function written by Samuel W. Gilbert and published by Riemann hypothesis. This book was released on 2009 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author demonstrates that the Dirichlet series representation of the Riemann zeta function converges geometrically at the roots in the critical strip. The Dirichlet series parts of the Riemann zeta function diverge everywhere in the critical strip. It has therefore been assumed for at least 150 years that the Dirichlet series representation of the zeta function is useless for characterization of the non-trivial roots. The author shows that this assumption is completely wrong. Reduced, or simplified, asymptotic expansions for the terms of the zeta function series parts are equated algebraically with reduced asymptotic expansions for the terms of the zeta function series parts with reflected argument, constraining the real parts of the roots of both functions to the critical line. Hence, the Riemann hypothesis is correct. Formulae are derived and solved numerically, yielding highly accurate values of the imaginary parts of the roots of the zeta function.

Author : Károly Jordán
Publisher : American Mathematical Soc.
ISBN 13 : 9780828400336
Total Pages : 704 pages
Book Rating : 4.34/5 ( download)

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Download or read book Calculus of Finite Differences written by Károly Jordán and published by American Mathematical Soc.. This book was released on 1965 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: