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Your search keyword '"Kumar, B. R. Srivatsa"' showing total 2 results
Start Over Author "Kumar, B. R. Srivatsa" Publisher wiley-blackwell
2 results on '"Kumar, B. R. Srivatsa"'

1. Applications of Lehmer's Infinite Series Involving Reciprocals of the Central Binomial Coefficients.

Author

Kumar, B. R. Srivatsa, Kılıçman, Adem, and Rathie, Arjun K.

Subjects
INFINITE series (Mathematics), BINOMIAL coefficients, HYPERGEOMETRIC functions
Abstract

The main objective of this paper is to establish several new closed-form evaluations of the generalized hypergeometric function F q + 1 q z for q = 2 , 3 , 4 , 5. This is achieved by means of separating the generalized hypergeometric function F q + 1 q z (q = 2 , 3 , 4 , 5) into even and odd components together with the use of several known infinite series involving reciprocals of the central binomial coefficients obtained earlier by Lehmer. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Relation between Borweins' Cubic Theta Functions and Ramanujan's Eisenstein Series.

Author

Kumar, B. R. Srivatsa, Shruthi, and Radha, D. Anu

Subjects
EISENSTEIN series, THETA functions
Abstract

Two-dimensional theta functions were found by the Borwein brothers to work on Gauss and Legendre's arithmetic-geometric mean iteration. In this paper, some new Eisenstein series identities are obtained by using (p , k)-parametrization in terms of Borweins' theta functions. [ABSTRACT FROM AUTHOR]

Published
2021
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