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

Journal Title

Journal of Mathematical Analysis and Applications

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