Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions
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)...
| Published in: | AXIOMS |
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| Main Authors: | , , , , |
| Format: | Article |
| Language: | English |
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MDPI
2024
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| Subjects: | |
| Online Access: | https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-record/WOS:001384187300001 |
| author |
Jayarama Prathima; Lim Dongkyu; Rathie Arjun K.; Kilicman Adem |
|---|---|
| spellingShingle |
Jayarama Prathima; Lim Dongkyu; Rathie Arjun K.; Kilicman Adem Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions Mathematics |
| author_facet |
Jayarama Prathima; Lim Dongkyu; Rathie Arjun K.; Kilicman Adem |
| author_sort |
Jayarama |
| spelling |
Jayarama, Prathima; Lim, Dongkyu; Rathie, Arjun K.; Kilicman, Adem Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions AXIOMS English Article 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. MDPI 2075-1680 2024 13 12 10.3390/axioms13120887 Mathematics gold WOS:001384187300001 https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-record/WOS:001384187300001 |
| title |
Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions |
| title_short |
Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions |
| title_full |
Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions |
| title_fullStr |
Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions |
| title_full_unstemmed |
Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions |
| title_sort |
Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions |
| container_title |
AXIOMS |
| language |
English |
| format |
Article |
| description |
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. |
| publisher |
MDPI |
| issn |
2075-1680 |
| publishDate |
2024 |
| container_volume |
13 |
| container_issue |
12 |
| doi_str_mv |
10.3390/axioms13120887 |
| topic |
Mathematics |
| topic_facet |
Mathematics |
| accesstype |
gold |
| id |
WOS:001384187300001 |
| url |
https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-record/WOS:001384187300001 |
| record_format |
wos |
| collection |
Web of Science (WoS) |
| _version_ |
1823296087902912512 |