Watson's basic analogue of Ramanujan's entry 40 and its generalization
Dharma P. Gupta, David R. Masson
Abstract
We generalize Watson's q -analogue of Ramanujan's Entry 40 continued fraction by deriving solutions to a 10 ϕ9 series contiguous relation and applying Pincherle's theorem. Watson's result is recovered as a special terminating case, while a limit case yields a new continued fraction associated with an series contiguous relation.
Create a lesson
Related papers
Characterizing higher-dimensional Hölder domains via spherical geometric functions
Emily Casey, Max Engelstein, Tatiana Toro
The second type of power mean bounds for the hypergeometric mean
Zhen-Hang Yang, Jing-Feng Tian
Spread-out Furstenberg sets II: general configurations and fractal restricted projections
Alex Cohen, Pablo Shmerkin, Hong Wang et al.
Spread-out Furstenberg sets I: the sticky case
Tuomas Orponen, Pablo Shmerkin
Hsiang cubics as spherical Chebyshev polynomials: equioscillation and idempotent quadrature
Vladimir G. Tkachev
Sharp power-weight estimates for the fractional spherical maximal operator
Riju Basak, Surjeet Singh Choudhary, Chun-Yen Shen et al.