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On several new closed-form evaluations for the generalized hypergeometric functions | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 10، دوره 8، شماره 4، اسفند 2023، صفحه 737-749 اصل مقاله (353.61 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2022.27794.1355 | ||
| نویسندگان | ||
| B. R. Srivatsa Kumar1؛ Dongkyu Lim* 2؛ Arjun K. Rathie3 | ||
| 1Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education | ||
| 2Department of Mathematics Education, Andong National University | ||
| 3Vedant College of Engineering and Technology (Rajasthan Technical University) | ||
| چکیده | ||
| The main objective of this paper is to establish as many as thirty new closed-form evaluations of the generalized hypergeometric function $_{q+1}F_q(z)$ for $q= 2, 3$. This is achieved by means of separating the generalized hypergeometric function $_{q+1}F_q(z)$ 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. | ||
| کلیدواژه‌ها | ||
| Generalized hypergeometric function؛ central and non-central binomial coefficients؛ combinatorial sum؛ reciprocals | ||
| مراجع | ||
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