Bisection Series Approach for Exotic 3F2(1)-Series

被引：0
|
作者：
Chen, Marta Na [1 ]
Chu, Wenchang [2 ]
机构：
[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou 466001, Peoples R China
[2] Univ Salento, Dept Math & Phys, I-73100 Lecce, Italy
来源：
MATHEMATICS | 2024年 / 12卷 / 12期
关键词：
hypergeometric series; exotic F-3(2)(1)-series; bisection series approach;
D O I：
10.3390/math12121915
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By employing the bisection series approach, two classes of nonterminating F-3(2)(1)-series are examined. Several new summation formulae are established in closed form through the summation formulae of Gauss and Kummer for the F-2(1)(+/- 1)-series. They are expressed in terms of well-known functions such as pi, Euler-Gamma, and logarithmic functions, which can be used in physics and applied sciences for numerical and theoretical analysis.
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页数：12
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