COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE DIVIDED DIFFERENCE OF PSI FUNCTIONS
Necessary and sufficient conditions are presented for a function involving the divided difference of the psi function to be completely monotonic and for a function involving the ratio of two gamma functions to be logarithmically completely monotonic. From these, some double inequalities are derived...
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| Veröffentlicht in: | Bulletin of the Australian Mathematical Society 2013-10, Vol.88 (2), p.309-319 |
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| container_end_page | 319 |
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| container_issue | 2 |
| container_start_page | 309 |
| container_title | Bulletin of the Australian Mathematical Society |
| container_volume | 88 |
| creator | QI, FENG CERONE, PIETRO DRAGOMIR, SEVER S. |
| description | Necessary and sufficient conditions are presented for a function involving the divided difference of the psi function to be completely monotonic and for a function involving the ratio of two gamma functions to be logarithmically completely monotonic. From these, some double inequalities are derived for bounding polygamma functions, divided differences of polygamma functions, and the ratio of two gamma functions. |
| doi_str_mv | 10.1017/S0004972712001025 |
| format | Article |
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| fulltext | fulltext |
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| ispartof | Bulletin of the Australian Mathematical Society, 2013-10, Vol.88 (2), p.309-319 |
| issn | 0004-9727 1755-1633 |
| language | eng |
| recordid | cdi_proquest_journals_2786970465 |
| source | EZB-FREE-00999 freely available EZB journals; Cambridge University Press Journals Complete |
| subjects | Gamma function |
| title | COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE DIVIDED DIFFERENCE OF PSI FUNCTIONS |
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