An Application of Neutrix Calculus to Modified Degenerate Gamma Function

Paper Details

Authors: Ege İ.

DOI: 10.28924/2291-8639-24-2026-45

Journal: International Journal of Analysis and Applications

Year: 2026

Publisher: Etamaths Publishing

Document Type: Article

Open Access: All Open Access; Gold Open Access

Cited by: 0

Abstract

The modified degenerate Gamma function Γ∗ (x) is defined for positive values of x; however, it is not defined λ for zero or negative values of x. In this study, the concepts of neutrix and neutrix limit are employed to extend the definition of the modified degenerate Gamma function Γ∗ (x) for all real values of x. The results demonstrate that the λ established definitions and findings recover the classical results for Euler’s Gamma function Γ(x) as λ → 0 for all real values of x. Additionally, explicit equations for Γ∗λ(0) and Γ∗(−n), where n is a positive integer, are given. λ. © 2026 the author(s).

Keywords

gamma function; modified degenerate gamma function; neutrices; neutrix limit

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