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Generalized Analytic Continuation by William T. Ross

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Published by American Mathematical Society .
Written in English

Subjects:

  • Complex analysis,
  • Mathematics,
  • Science/Mathematics,
  • Calculus,
  • Research,
  • Analytic continuation

Book details:

The Physical Object
FormatPaperback
Number of Pages149
ID Numbers
Open LibraryOL11420065M
ISBN 100821831755
ISBN 109780821831755

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Generalized Analytic Continuation William T. Ross and Harold S. Shapiro Publication Year: ISBN ISBN University Lecture Series, vol. Several recent investigations have encountered situations where there is associated with an analytic function in a domain, another function analytic in a contiguous domain which can lay claim to being a “continuation” of the original function, even though the original function is nowhere continuable in Cited by: Buy Analytic continuation of group representations, (James K. Whittemore lectures in mathematics given at Yale University) on FREE SHIPPING on qualified orders Analytic continuation of group representations, (James K. Whittemore lectures in mathematics given at Yale University): Stein, Elias M: : BooksCited by: CHAPTER 2 ANALYTIC CONTINUATION 1. WhyRiemann’sExistenceTheorem? We start with two different definitions of algebraic functions. An impreciseFile Size: KB.

There is a book on Complex Variables with Physical Applications by Arthur , Jr. is theory and step-by step solutions to r 10 of this book deals at grant extend on Analytic Continuation. THE ANALYTIC CONTINUATION OF GENERALIZED FUNCTIONS WITH RESPECT TO A PARAMETER I. N. Bernshtein Let P be a polynomial in N variables with real coefficients, and let @ be a region in the space R n such that P is nonnegative inside e and is equal to zero on the boundary. $\begingroup$ I found the book of K. Knopp much more readable than 's and has exercises. However it is a bit old and the newest entry is Euler- and Borel-summation. The specific term "analytic continuation" (and examples) I've found in more contemporary sources much better explained. $\endgroup$ – Gottfried Helms Apr 7 '14 at The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This book addresses the following question: when can we say that component functions of a meromorphic function on a disconnected domain, are 'continuations' of each other?

Analytic continuation is the extension of the domain of a given analytic function in the complex plane, to a larger domain of the complex plane. This process has been utilized in many other areas of mathematics, and has given mathematicians new insight into some of the world’s hardest : Justin Toyofuku. The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This broader theory touches on a remarkable array of topics in classical analysis, as described in the book. The object of this paper is to investigate the analytic continuation and asymptotic expansions for families of the generalized Hurwich{Lerch Zeta functions defined by Srivastava et al. [9]. The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This broader theory touches on a remarkable array of topics in classical analysis, as described in the : William T Ross and Harold S Shapiro.