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


Author : Walter Burton Ford
language : en
Publisher: American Mathematical Soc.
Release Date : 1960


Download Studies On Divergent Series And Summability And The Asymptotic Developments Of Functions Defined By Maclaurin Series written by Walter Burton Ford and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.


This book is based on several courses taught by the author at the University of Michigan between 1908 and 1912. It covers two main topics: asymptotic series and the theory of summability. The discussion of nowhere convergent asymptotic series 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. On the second topic, the author discusses various approaches to the summability of divergent series and considers in detail applications to Fourier series.

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


Author : Walter Burton Ford
language : en
Publisher: American Mathematical Soc.
Release Date : 1960


Download Studies On Divergent Series And Summability And The Asymptotic Developments Of Functions Defined By Maclaurin Series written by Walter Burton Ford and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.


This book is based on several courses taught by the author at the University of Michigan between 1908 and 1912. It covers two main topics: asymptotic series and the theory of summability. The discussion of nowhere convergent asymptotic series 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. On the second topic, the author discusses various approaches to the summability of divergent series and considers in detail applications to Fourier series.

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


Author : Walter Burton Ford
language : en
Publisher: American Mathematical Soc.
Release Date : 1960


Download Studies On Divergent Series And Summability And The Asymptotic Developments Of Functions Defined By Maclaurin Series written by Walter Burton Ford and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.


This book is based on several courses taught by the author at the University of Michigan between 1908 and 1912. It covers two main topics: asymptotic series and the theory of summability. The discussion of nowhere convergent asymptotic series 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. On the second topic, the author discusses various approaches to the summability of divergent series and considers in detail applications to Fourier series.

Calculus Of Finite Differences


Author : Károly Jordán
language : en
Publisher: American Mathematical Soc.
Release Date : 1965-01-01


Download Calculus Of Finite Differences written by Károly Jordán and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-01-01 with Mathematics categories.




The Riemann Hypothesis And The Roots Of The Riemann Zeta Function


Author : Samuel W. Gilbert
language : en
Publisher: Riemann hypothesis
Release Date : 2009-01-01


Download The Riemann Hypothesis And The Roots Of The Riemann Zeta Function written by Samuel W. Gilbert and has been published by Riemann hypothesis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Mathematics categories.


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.

Nist Handbook Of Mathematical Functions


Author : Frank W. J. Olver
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-17


Download Nist Handbook Of Mathematical Functions written by Frank W. J. Olver and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-17 with Mathematics categories.


The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

Caap 92


Author : Jean-Claude Raoult
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-02-19


Download Caap 92 written by Jean-Claude Raoult and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-02-19 with Computers categories.


This volume contains selected papers from CAAP '92. Topics include algebraic and combinatorial properties of trees and their role in various fields, and other discrete structures, like graphs, equations and transformations of graphs, and their links with logical theories.