New Curious Bilateral q-Series Identities

Axioms

Frຝéric Jouhet¹ 

[1] Institut Camille Jordan, Université Claude Bernard Lyon 1, 69622 Villeurbanne Cedex, France

关键词: bilateral basic hypergeometric series;    q-series;    curious summations;   

DOI  :  10.3390/axioms1030365

来源: mdpi

【 摘 要 】

By applying a classical method, already employed by Cauchy, to a terminating curious summation by one of the authors, a new curious bilateral q-series identity is derived. We also apply the same method to a quadratic summation by Gessel and Stanton, and to a cubic summation by Gasper, respectively, to derive a bilateral quadratic and a bilateral cubic summation formula.

【 授权许可】

CC BY   
© 2012 by the authors; licensee MDPI, Basel, Switzerland.