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Hypergeometric transformation formulas of degrees 3, 7, 11 and 23

Authors
Journal
Journal of Mathematical Analysis and Applications
0022-247X
Publisher
Elsevier
Identifiers
DOI: 10.1016/j.jmaa.2014.07.061
Keywords
  • Complex Analysis
Disciplines
  • Mathematics

Abstract

Abstract The theory of theta functions is used to derive hypergeometric transformation formulas of degrees 3, 7, 11 and 23. As a consequence of the theory that is developed, some new series for 1/π are obtained that are similar to a class investigated by Ramanujan.

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