Open AccessApplications of Lehmer’s Infinite Series Involving Reciprocals of the Central Binomial Coefficients
Author(s) -
B. R. Srivatsa Kumar,
Adem Kılıçman,
Arjun K. Rathie
Publication year - 2022
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2022/1408543
Subject(s) - hypergeometric function , series (stratigraphy) , mathematics , binomial (polynomial) , binomial coefficient , combinatorics , pure mathematics , statistics , biology , paleontology
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.
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