Telescopic approach to a formula of ${_{2}}F_{1}$-series by Gosper and Ebisu

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Wenchang Chu¹ 

[1] Dipartimento di Matematica e Fisica ‘‘Ennio De Giorgi’’

关键词: Escape rate;    Brownian motion;    hyperbolic space.;   

DOI  :  10.3792/pjaa.93.13

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

By means of the telescoping method, we prove an infinite series identity with four free parameters. Its limiting case is utilized, with the help of the Pfaff transformation, not only to present a new proof for a ${_{2}}F_{1}$-series identity conjectured by Gosper (1977) and proved recently by Ebisu (2013), but also to establish an extension of the binomial series.

【 授权许可】

Unknown