Yabu's formulae for hypergeometric $ _3F_2 $-series through Whipple's quadratic transformations

oleh: Marta Na Chen, Wenchang Chu

Format: Article
Diterbitkan: AIMS Press 2024-07-01

Deskripsi

By means of Whipple's quadratic transformations, two classes of hypergeometric $ _3F_2 $-series are expressed in terms of the Lerch transcendent function. Several difficult series with a free variable are explicitly evaluated in closed form, including Yabu's three remarkable identities.