## Analytical formulae for extended $_3F_2$-series of Watson–Whipple–Dixon with two extra integer parameters

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## Abstract:

By combining the linearization method with Dougall’s sum for well–poised $_5F_4$-series, we investigate the generalized Watson series with two extra integer parameters. Four analytical formulae are established, which can also be used to evaluate the extended Whipple and Dixon series via the Thomae transformation. Twelve concrete formulae are presented as exemplification.## References

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## Additional Information

**Wenchang Chu**- Affiliation: Hangzhou Normal University, Institute of Combinatorial Mathematics, Hangzhou 310036, People’s Republic of China
- Address at time of publication: Dipartimento di Matematica, Università del Salento, Lecce–Arnesano, P.O. Box 193, Lecce 73100, Italy
- MR Author ID: 213991
- Email: chu.wenchang@unisalento.it
- Received by editor(s): October 8, 2010
- Received by editor(s) in revised form: November 30, 2010, and December 24, 2010
- Published electronically: June 30, 2011
- © Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp.
**81**(2012), 467-479 - MSC (2010): Primary 33C20; Secondary 05A10
- DOI: https://doi.org/10.1090/S0025-5718-2011-02512-3
- MathSciNet review: 2833504