Derivative operator on a hypergeometric function of three complex variables.
Metwally, M.S. (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Metwally, M.S. (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Four-term recurrence relations for hypergeometric functions of the second order are deduced from generating functions involving elementary functions. Generalisations are indicated and an example is given of a five-term recurrence for the confluent hypergeometric function.
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Rendiconti del Seminario Matematico della Università di Padova
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When the parameters are real, the hypergeometric equation defines a Schwarz triangle. We study a combinatorial-topological property of the Schwarz triangle when the three angles are not necessarily less than π.