Some inequalities involving ratios and products of the gamma function
In this paper, we establish some generalized inequalities for the gamma function using the properties of logarithmically convex/concave functions.
Mridula Garg +2 more
doaj
On some properties of digamma and polygamma functions
The author proves some interesting inequalities involving the logarithmic derivative of the gamma function \(\psi(x)=\frac{\Gamma^{\prime}(x)}{\Gamma(x)}\), and its derivatives \(\psi_{n}(x)=\psi^{(n)}(x),\;n=1,2,3,\ldots\), known as polygamma functions.
openaire +2 more sources
Functional relations involving generalized H-function
A number of papers have appeared in literature in which certain functional relations associated with hypergeometric functions and Digamma function ψ(z) are derived. In order to unify and extend the existing results due to Kalla [7].
R. K. Saxena
doaj
Integral and series representations of the digamma and polygamma functions [PDF]
Mark W. Coffey
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Correction: On the positivity of a certain function related with the Digamma function [PDF]
K. Castillo
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The digamma function, Euler–Lehmer constants and their p-adic counterparts [PDF]
T. Chatterjee, S. Gun
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On an Iteration Leading to a q-Analogue of the Digamma Function [PDF]
Christian Berg, Helle Bjerg Petersen
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Classical and Bayesian Inference of Conditional Stress-Strength Model under Kumaraswamy Distribution. [PDF]
Riad FH +3 more
europepmc +1 more source
Some New Bounds for Bateman’s G-Function in Terms of the Digamma Function [PDF]
H.M. Moustafa, Waad Al Sayed
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Rational approximations for values of the digamma function and a denominators conjecture [PDF]
Khodabakhsh Hessami Pilehrood +1 more
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