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2010•Unpublished venueRequires access

Properties and Inequalities of Generalized k-Gamma, Beta and Zeta Functions

Chrysi G. Kokologiannaki

Open publisher page 47 citations

Abstract

Recently R.Diaz and E.Pariguan introduced [2] the k-generalized Gamma function Γk(x), Beta function Bk(x, y) and Zeta function ζk(x, s) and gave some identities which they satisfy. We give some more properties and inequalities for the above k-generalized functions. Mathematics Subject Classification: 33B15, 33D05, 26D07, 24A48

About this research paper

What this paper is about

Recently R.Diaz and E.Pariguan introduced [2] the k-generalized Gamma function Γk(x), Beta function Bk(x, y) and Zeta function ζk(x, s) and gave some identities which they satisfy. We give some more properties and inequalities for the above k-generalized functions. Mathematics Subject Classification: 33B15, 33D05, 26D07, 24A48

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OpenAlex reports 47 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Recently R.Diaz and E.Pariguan introduced [2] the k-generalized Gamma function Γk(x), Beta function Bk(x, y) and Zeta function ζk(x, s) and gave some identities which they satisfy. We give some more properties and inequalities for the above k-generalized functions. Mathematics Subject Classification: 33B15, 33D05, 26D07, 24A48

Key concepts: Mathematics, BETA (programming language), Gamma function, Beta function (physics), Riemann zeta function, Function (biology), Pure mathematics, Combinatorics

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