Two logarithmically completely monotonic functions connected with gamma function
Open Access
- 1 July 2006
- journal article
- research article
- Published by Taylor & Francis Ltd in Integral Transforms and Special Functions
- Vol. 17 (7), 539-542
- https://doi.org/10.1080/10652460500422379
Abstract
In this note, the logarithmically completely monotonic properties of the functions [Γ(1 + x)] y /Γ(1 + xy) and Γ(1 + y)[Γ(1 + x)] y /Γ(1 + xy) are established and some related results are generalized and extended.Keywords
This publication has 1 reference indexed in Scilit:
- Sharp inequalities for the digamma and polygamma functionsForum Mathematicum, 2004