Completely monotonic ratios of basic and ordinary gamma functions
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Dokumenter
- Fulltext
Indsendt manuskript, 218 KB, PDF-dokument
We investigate conditions for logarithmic complete monotonicity of product ratios of gamma and q-gamma functions whose arguments are linear functions of the variable. We give necessary and sufficient conditions in terms of nonnegativity of a certain explicitly written measure in the q case and of a certain elementary function in the classical q= 1 case. In the latter case we further provide simple new sufficient conditions leading to many new examples of logarithmically completely monotonic gamma ratios. Finally, we apply some of our results to study monotonicity of some gamma ratios and rational functions.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Aequationes Mathematicae |
Vol/bind | 95 |
Udgave nummer | 3 |
Sider (fra-til) | 569-588 |
Antal sider | 20 |
ISSN | 0001-9054 |
DOI | |
Status | Udgivet - 2021 |
Bibliografisk note
Publisher Copyright:
© 2021, Springer Nature Switzerland AG.
ID: 306972211