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

Nipen Saikia

Journal of Mathematics, 2013, vol. 2013, 1-5

Abstract:

We define a product for any positive real numbers and involving Ramanujan's theta-functions and 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 explicit evaluations of and find some explicit values. As application of the product , we also offer explicit formulas for explicit values of Ramanujan's continued fraction in terms of and give examples.

Date: 2013
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/JMATH/2013/620756.pdf (application/pdf)
http://downloads.hindawi.com/journals/JMATH/2013/620756.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:620756

DOI: 10.1155/2013/620756

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().