# Summation, transformation, and expansion formulas for
multibasic theta hypergeometric series

### (18 pages)

**Abstract.**
After reviewing some fundamental facts from the theory of theta
hypergeometric series we derive, using indefinite summation,
several summation, transformation, and expansion formulas for
multibasic theta hypergeometric series. Some of the identities
presented here generalize corresponding formulas given in Chapter 11
of the Gasper and Rahman book [*Basic hypergeometric series*,
2^{nd} ed., Encyclopedia of Mathematics And Its Applications 96,
Cambridge University Press, Cambridge, 2004].

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