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Some new summation formulae for the generalised hypergeometric function of higher order. (English) Zbl 0869.33003

Summary: A consideration of odd and even terms of hypergeometric series of higher order leads to a new summation formulae with arguments \(1\) and \(-1\).

MSC:

33C20 Generalized hypergeometric series, \({}_pF_q\)
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References:

[1] Exton, H., Multiple Hypergeometric Functions (1976), Ellis Horwood: Ellis Horwood Chichester, UK · Zbl 0337.33001
[2] Slater, L. J., Generalised Hypergeometric Functions (1966), Cambridge Univ. Press: Cambridge Univ. Press Cambridge · Zbl 0141.07203
[3] Tremblay, R.; Fugere, B. J., Products of two restricted hypergeometric functions, J. Math. Anal. Appl., 198, 844-852 (1996) · Zbl 0852.33003
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