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What are the basic properties of the p-analogue gamma function?

Riemann zeta function

Arithmetic zeta function

Riemann Xi function

Bohr–Mollerup theorem

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The p-analogue gamma function, also known as the (p, k)-analogue of the gamma function, has several basic properties. It has been shown to exhibit complete monotonicity and convexity, and it satisfies certain inequalities. The (p, k)-analogue of the gamma function also has a (p, k)-analogue of the Riemann zeta function associated with it, which has its own set of inequalities. Additionally, the (p, k)-analogue of the gamma function has been used to establish results that generalize those known for the classical gamma function. These properties and results have been proven using analytical techniques.

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Open access Some Completely Monotonic Properties for the (p, g)-Gamma Function Valmir Krasniqi, Faton Merovci - Show less +1 more 01 Jan 2012 4 Citations	The paper discusses properties of the p-analogue gamma function, including convexity, log-convexity, and complete monotonicity.
Open access•Journal Article•DOI Inequalities for Certain Ratios Involving the \((p,k)\)-Analogue of the Gamma function Kwara Nantomah 04 Nov 2016-Communications in Mathematics and Applications	The basic properties of the p-analogue gamma function are not mentioned in the provided text.
Open access•Posted Content•DOI Convexity Properties and Inequalities Concerning the (p,k)-Gamma function Kwara Nantomah 11 Jan 2017 8 Citations	The paper discusses convexity properties and inequalities for the (p, k)-analogue of the Gamma function, as well as a (p, k)-analogue of the Riemann zeta function.
Open access•Journal Article•DOI Some monotonicity properties and inequalities for the (p, k)-gamma function Kwara Nantomah, Faton Merovci, Suleman Nasiru - Show less +2 more 01 Jan 2018-Kragujevac journal of mathematics 7 Citations	The paper discusses some complete monotonicity properties and inequalities for the (p, k)-analogue of the Gamma function.

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