Generating Kummer Type Formulas for Hypergeometric Functions

Nobuki Takayama ()
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Nobuki Takayama: Kobe University

A chapter in Algebra, Geometry and Software Systems, 2003, pp 131-145 from Springer

Abstract: Abstract Kummer type formulas are identities of hypergeometric series. A symmetry by the permutations of n-letters yields these formulas. We will present an algorithmic method to derive known and new Kummer type formulas. The algorithm utilizes several algorithms in algebra and geometry for generating Kummer type formulas.

Keywords: Hypergeometric Function; Configuration Space; Series Solution; Hypergeometric Series; Type Formula (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-05148-1_7

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DOI: 10.1007/978-3-662-05148-1_7

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