(P, Q)-Special Functions

نویسنده

  • R. Jagannathan
چکیده

It is suggested that the (p, q)-hypergeometric series studied by Burban and Klimyk (in Integral Transforms and Special Functions 2 (1994) 15-36) can be considered as a special case of a more general (P, Q)-hypergeometric series. 1. Introduction I propose a general (P, Q)-hypergeometric series. In this, I am inspired mainly by the paper of Burban and Klimyk [1] titled " P, Q-differentiation, P, Q-integration, and P, Q-hypergeometric functions related to quantum groups " and the paper of Floreanini, Lapointe and Vinet [2] titled " A note on (p, q)-oscillators and bibasic hypergeometric functions ". Burban and Klimyk [1] have already presented a well-developed theory of (p, q)-hypergeometric functions and what I propose is only a suggestion towards a slight generalization of their work, taking some clues from Floreanini, Lapointe and Vinet [2], Katriel and Kibler [3], and Gasper and Rahman [4].

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تاریخ انتشار 1998