Inequalities for generalized hypergeometric functions of three variables
LUKE (5] has developed a technique of obtaining two-sided inequalities for generalized hypergeometric functions through their Eulerian integral-representations. We exploit the technique suggested by him in obtaining inequalities for Lauricella funtions Fa,FB and FD. Specific numerics have been give...
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
1993-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1993(1)/13-26.pdf |
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| author | C.M. JOSHI J.P. ARYA |
| author_facet | C.M. JOSHI J.P. ARYA |
| author_sort | C.M. JOSHI |
| collection | DOAJ |
| description | LUKE (5] has developed a technique of obtaining two-sided inequalities for generalized hypergeometric functions through their Eulerian integral-representations.
We exploit the technique suggested by him in obtaining inequalities for Lauricella funtions Fa,FB and FD. Specific numerics have been given in support of the algebra involved and to lend credence to the validity of various formulas that are presented. The bounds obtained are worth while since evaluation of inequalities often takes much less effort than evaluation of a triple series. In the sequel, corrections in theorems 2 and 6 of Luke (5) are also presented. |
| first_indexed | 2024-03-13T03:39:24Z |
| format | Article |
| id | doaj.art-6364e60e8622405abb499742750a67cf |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-03-13T03:39:24Z |
| publishDate | 1993-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-6364e60e8622405abb499742750a67cf2023-06-23T11:33:21ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501993-01-011311326Inequalities for generalized hypergeometric functions of three variablesC.M. JOSHI 0J.P. ARYA1Department of Mathematics -Sukhadia University- UdaipurDepartment of Mathematics - D.A.V. College - MuzzaffarnagarLUKE (5] has developed a technique of obtaining two-sided inequalities for generalized hypergeometric functions through their Eulerian integral-representations. We exploit the technique suggested by him in obtaining inequalities for Lauricella funtions Fa,FB and FD. Specific numerics have been given in support of the algebra involved and to lend credence to the validity of various formulas that are presented. The bounds obtained are worth while since evaluation of inequalities often takes much less effort than evaluation of a triple series. In the sequel, corrections in theorems 2 and 6 of Luke (5) are also presented.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1993(1)/13-26.pdfgeneralized hypergeometric functionsappell functionslauricella functions |
| spellingShingle | C.M. JOSHI J.P. ARYA Inequalities for generalized hypergeometric functions of three variables Rendiconti di Matematica e delle Sue Applicazioni generalized hypergeometric functions appell functions lauricella functions |
| title | Inequalities for generalized hypergeometric functions of three variables |
| title_full | Inequalities for generalized hypergeometric functions of three variables |
| title_fullStr | Inequalities for generalized hypergeometric functions of three variables |
| title_full_unstemmed | Inequalities for generalized hypergeometric functions of three variables |
| title_short | Inequalities for generalized hypergeometric functions of three variables |
| title_sort | inequalities for generalized hypergeometric functions of three variables |
| topic | generalized hypergeometric functions appell functions lauricella functions |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1993(1)/13-26.pdf |
| work_keys_str_mv | AT cmjoshi inequalitiesforgeneralizedhypergeometricfunctionsofthreevariables AT jparya inequalitiesforgeneralizedhypergeometricfunctionsofthreevariables |