Three expansions for a three variable hypergeometric function. (English) Zbl 1474.33040
Summary: In this paper we record three summation results for a triple hypergeometric series \(X_2\) and discuss various cases of reducibility.
MSC:
| 33C20 | Generalized hypergeometric series, \({}_pF_q\) |
Keywords:
hypergeometric function; Horn function; Appell function; Laguerre polynomial; Jacobi polynomialReferences:
| [1] | Exton, H, Multiple hypergeometric functions and application, John Wiley & Sons, New York, 1976. · Zbl 0337.33001 |
| [2] | Padmanabham, P.A., Two results on three variable hypergeometric function, Indian Jour. Pure & Applied Math., 30(11), Nov. 1999, pp. 1107-1109. · Zbl 0941.33005 |
| [3] | Srivastava, H.M. and Karlsson, P.W., Multiple Gaussian hypergeometric series, John Wiley & Sons, New York, 1985. · Zbl 0552.33001 |
| [4] | Srivastava, H.M. and Karlsson, P.W., |
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