Title of article :
On several new closed-form evaluations for the generalized hypergeometric functions
Author/Authors :
Kumar ، B. R. Srivatsa Department of Mathematics - Manipal Institute of Technology - Manipal Academy of Higher Education , Lim ، Dongkyu Department of Mathematics Education - Andong National University , Rathie ، Arjun K. Department of Mathematics - Vedant College of Engineering and Technology - Rajasthan Technical University
Abstract :
The main objective of this paper is to establish as many as thirty new closed-form evaluations of the generalized hypergeometric function q+1Fq(z) for q = 2, 3. This is achieved by means of separating the generalized hypergeometric func tion q+1Fq(z) for q = 1, 2, 3 into even and odd components together with the use of several known infinite series involving reciprocal of the non-central binomial coefficients obtained earlier by L. Zhang and W. Ji.
Keywords :
Generalized hypergeometric function , central and non , central binomial coefficients , combinatorial sum , reciprocals
Journal title :
Communications in Combinatorics and Optimization
Journal title :
Communications in Combinatorics and Optimization
