Work

A class of analytic functions related to the generalized Marcum Q-function and its geometric properties

Year: 2025

Type: article

Abstract: Our aim in the present investigation is to examine certain geometric properties such as close-to-convexity, starlikeness and convexity of a certain class of analytic functions related to the generalized Marcum Q -function. Moreover, along with corollaries and examples are given. Moreover, some of these results are presented with illustrated representations. The main research tools for this paper are some bound inequalities for the lower incomplete gamma function and the monotonicity properties of the classical gamma function.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03365-9

Authors: Abdulaziz Alenazi, Khaled Mehrez

Institutions: Northern Border University, University of Kairouan

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

Funder: Northern Border University