On some reduction formulae for hypergeometric functions

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1966

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Copyright PERSEE 2003-2023. Works reproduced on the PERSEE website are protected by the general rules of the Code of Intellectual Property. For strictly private, scientific or teaching purposes excluding all commercial use, reproduction and communication to the public of this document is permitted on condition that its origin and copyright are clearly mentionned.


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Functions, Hypergeometric

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Prem Chandra Consul, « On some reduction formulae for hypergeometric functions », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1966.62611


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Summary. — For reducing the values of the parameters a, b, and c by any integer m, four different reduction formulae for hypergeometric functions have been obtained with the help of some recurrence relations between them. If c is positive and the parameters a, b, and c are integers or half of odd integers, then these formulae enable us to express the hypergeometric functions into a sum of elementary algebraic and trigonometrical functions.

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