Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions

被引：0
|
作者：
Jayarama, Prathima [1 ]
Lim, Dongkyu [2 ]
Rathie, Arjun K. [3 ]
Kilicman, Adem [4 ]
机构：
[1] Manipal Acad Higher Educ, Manipal Inst Technol, Dept Math, Manipal 576104, Karnataka, India
[2] Andong Natl Univ, Dept Math Educ, Andong 36729, South Korea
[3] Rajasthan Tech Univ, Vedant Coll Engn & Technol, Dept Math, Bundi 323021, Rajasthan, India
[4] Univ Teknol MARA, Coll Comp Informat & Math, Sch Math Sci, Shah Alam 40450, Selangor, Malaysia
来源：
AXIOMS | 2024年 / 13卷 / 12期
关键词：
hypergeometric functions; Dixon's formula; Watson's formula; Whipple's formula; Edwards's double integral; Laplace integrals;
D O I：
10.3390/axioms13120887
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 2012, Chu investigated the generalization of classical Watson-Whipple-Dixon summation theorems in the form of analytical formulas. By employing four generalized Watson summation formulas, the objective of this paper is to evaluate a new class of several Eulerian-type integrals (single and double) and Laplace-type integrals involving a hypergeometric function. Several interesting special cases are also given. Symmetry arises spontaneously in the hypergeometric function.
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页数：26
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