## A certain class of generating functions involving bilateral series.(English)Zbl 1052.33005

Summary: The authors derive a general theorem on partly bilateral and partly unilateral generating functions involving multiple series with essentially arbitrary coefficients. By appropriately specialising these functions, a number of (known or new) results are shown to follow as applications of the theorem.

### MSC:

 33C20 Generalized hypergeometric series, $${}_pF_q$$
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### References:

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