A Product of Theta-Functions Analogous to Ramanujan's Remarkable Product of Theta-Functions and Applications

We define a product lk,n for any positive real numbers k and n involving Ramanujan's theta-functions ϕ(q) and ψ(q) which is analogous to Ramanujan's remarkable product of theta-functions recorded by Ramanujan (1957) and study its several properties. We prove general theorems for the explic...

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Bibliographic Details
Main Author: Nipen Saikia
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/620756
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