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)...
| 發表在: | AXIOMS |
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| Main Authors: | , , , , |
| 格式: | Article |
| 語言: | English |
| 出版: |
MDPI
2024
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| 主題: | |
| 在線閱讀: | https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-record/WOS:001384187300001 |
| 總結: | 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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| ISSN: | 2075-1680 |
| DOI: | 10.3390/axioms13120887 |