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We prove an expansion formula for elliptic hypergeometric series. In the q-case, when the nome p=0, it generalizes q-hypergeometric transformation formulas due to Liu, and Wang and Ma, results that are used to derive identities for Hecke-type series and transformations for false and mock-theta functions. Our formula contains an arbitrary sequence as an argument, and is thus flexible in the number of parameters it contains. As a result, we are able to derive several transformation formulas for elliptic hypergeometric series, as well as double summation formulas.
Bhatnagar et al. (Wed,) studied this question.