Goursat’s Hypergeometric Transformations, Revisited

Per W. Karlsson
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Per W. Karlsson: Serbian Academy of Sciences and Arts, Mathematical Institute

A chapter in Analytic Number Theory, Approximation Theory, and Special Functions, 2014, pp 721-736 from Springer

Abstract: Abstract In a number of cases pairs of Goursat’s higher-order hypergeometric transformations lend themselves to eliminations of the right-hand members; one just has to make his or her variables equal by solving certain algebraic equations of degree up to six. This is carried out by the aid of Maple, in most cases supplemented by suitable one-to-one variable substitutions.

Keywords: Branch Point; Auxiliary Function; Auxiliary Variable; Asymptotic Expression; Reasonable Expression (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0258-3_27

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DOI: 10.1007/978-1-4939-0258-3_27

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