TY - JOUR
T1 - Applications of Lehmer's Infinite Series Involving Reciprocals of the Central Binomial Coefficients
AU - Srivatsa Kumar, B. R.
AU - Kiliçman, Adem
AU - Rathie, Arjun K.
N1 - Publisher Copyright:
© 2022 B. R. Srivatsa Kumar et al.
PY - 2022
Y1 - 2022
N2 - The main objective of this paper is to establish several new closed-form evaluations of the generalized hypergeometric function Fq+1qz for q=2,3,4,5. This is achieved by means of separating the generalized hypergeometric function Fq+1qz (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.
AB - The main objective of this paper is to establish several new closed-form evaluations of the generalized hypergeometric function Fq+1qz for q=2,3,4,5. This is achieved by means of separating the generalized hypergeometric function Fq+1qz (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.
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U2 - 10.1155/2022/1408543
DO - 10.1155/2022/1408543
M3 - Article
AN - SCOPUS:85124330118
SN - 2314-8896
VL - 2022
JO - Journal of Function Spaces
JF - Journal of Function Spaces
M1 - 1408543
ER -