Some properties of the modified Gamma function

In this article, we discuss the properties of the modified Gamma function. More precisely, these properties are described by specifically obtained identities and precisely derived inequalities. All results stem from a modification of the original Gamma function by changing the exponential function in the integrand with a function with base $a \in ]1,+\infty[$.

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Publication Details

Journal
International Mathematical Forum
Published
2025-01-01
DOI
https://doi.org/10.12988/imf.2025.914486
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
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article

Some properties of the modified Gamma function

Aristotelis Kyriakis
International Mathematical Forum
Mathematical functions and polynomials
article

Some properties of the modified Gamma function

Aristotelis Kyriakis
article en

Abstract

In this article, we discuss the properties of the modified Gamma function. More precisely, these properties are described by specifically obtained identities and precisely derived inequalities. All results stem from a modification of the original Gamma function by changing the exponential function in the integrand with a function with base $a \in ]1,+\infty[$.

International Mathematical ForumVol. 20(2)
Openalex Percentile: Top 83%
Mathematical functions and polynomials
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Some properties of the modified Gamma function — Aristotelis Kyriakis · International Mathematical Forum (2025) | TGRS Research Map | TGRS