Affiliation:
1. Mysuru Royal Institute of Technology
Abstract
In this article, Ramanujan defined am,n[3], Dharmendra. B. N and S. Vasanth Kumar defined Em,n[5] for any positive real numbersm and n involving Ramanujan’s product of theta-functions. We established new relation between am,n and Em,n and explicit evaluations of Em,n.
Publisher
Sociedade Paranaense de Matematica
Reference12 articles.
1. B. C. Berndt, Ramanujan's Notebooks, Part III, Springer-Verlag, New York, 1991. https://doi.org/10.1007/978-1-4612-0965-2
2. B. C. Berndt, Ramanujan's Notebooks, Part IV, Springer-Verlag, New York, 1994. https://doi.org/10.1007/978-1-4612-0879-2
3. B. C. Berndt, Ramanujan's Notebooks, Part V, Springer-Verlag, New York, 1997.
4. B. C. Berndt, H. H. Chan and L. C. Zhang, Ramanujan's remarkable product of the theta-function, Proc. Edinburgh Math. Soc., 40, (1997), 5 https://doi.org/10.1017/S0013091500024032
5. B. N. Dharmendra and S. Vasanth Kumar, Theorems on Analogous of Ramanujan's Remarkable Product of ThetaFunction and their Explicit Evaluations. Boletim da Sociedade Paranaense de Matematica. (2019)