engleski

On properties and applications of (p, q)-extended tau-hypergeometric functions

We introduce the (p, q)-extended tau- hypergeometric and confluent hypergeometric functions along with their integral representations. We also present closed integral expressions for the Mathieu-type a-series and for the associated alternating versions whose terms contain the (p, q)-extended tau-hypergeometric functions with related contiguous functional relations.

(p, q)-extended tau-hypergeometric function, (p, q)-extended tau-confluent hypergeometric function, Mathieu-type series, Integral representation, Contiguous functional relation

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