Monotonicity, concavity, and inequalities related to the generalized digamma function
Open Access
- 20 July 2018
- journal article
- research article
- Published by Springer Science and Business Media LLC in Advances in Difference Equations
- Vol. 2018 (1), 246
- https://doi.org/10.1186/s13662-018-1695-7
Abstract
No abstract availableKeywords
Funding Information
- National Natural Science Foundation of China (11705122)
This publication has 25 references indexed in Scilit:
- Existence and uniqueness of positive solution to singular fractional differential equationsBoundary Value Problems, 2012
- On the complete monotonicity of the compound geometric convolution with applications in risk theoryScandinavian Actuarial Journal, 2011
- Positive solutions for a nonlocal fractional differential equationNonlinear Analysis, 2011
- Complete monotonicity of some functions involving polygamma functionsJournal of Computational and Applied Mathematics, 2009
- Transcendental values of the digamma functionJournal of Number Theory, 2007
- Some completely monotonic functions involving the gamma and polygamma functionsJournal of the Australian Mathematical Society, 2006
- On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagramsJournal of Computational and Applied Mathematics, 2005
- A complete monotonicity property of the gamma functionJournal of Mathematical Analysis and Applications, 2004
- On some inequalities for the gamma and psi functionsMathematics of Computation, 1997
- On some series containing ψ(x)−ψ(y>) and (ψ(x)−ψ(y>))2 for certain values of x and yJournal of Computational and Applied Mathematics, 1991