Ramanujan Continued Fractions for Products of Gamma-Functions
Abstract
We use continuous relations for the generalised hypergeometric series 3F2 to give new proofs of three of Ramanujan′s elegant continued fractions for products and quotients of gamma functions. Previous proofs were somewhat ad hoc and did not show any connections with hypergeometric functions.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1006/jmaa.1993.1100
Publication Date
1-1-1993
Recommended Citation
Zhang, Liang-Chen. "Ramanujan continued fractions for products of gamma-functions." Journal of mathematical analysis and applications 174, no. 1 (1993): 22-52.
Journal Title
Journal of Mathematical Analysis and Applications
COinS
