Monotonicity of Analytic Functions Related to the Generalized Marcum Q‐Function

ABSTRACT Our aim in this paper is to establish the monotonicity properties of two classes of analytic functions related to the generalized Marcum ‐function, using subordination factor sequences and the monotonicity patterns of certain functions associated with the lower incomplete gamma function. Moreover, to illustrate the accuracy of the obtained results, several graphical representations are presented.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2026-04-29
DOI
https://doi.org/10.1002/mma.70742
Primary Topic
Analytic and geometric function theory
Type
article
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article

Monotonicity of Analytic Functions Related to the Generalized Marcum Q‐Function

Abdulaziz Alenazi, Khaled Mehrez
Mathematical Methods in the Applied Sciences
Analytic and geometric function theory
article

Monotonicity of Analytic Functions Related to the Generalized Marcum Q‐Function

Abdulaziz Alenazi, Khaled Mehrez
article en

Abstract

ABSTRACT Our aim in this paper is to establish the monotonicity properties of two classes of analytic functions related to the generalized Marcum ‐function, using subordination factor sequences and the monotonicity patterns of certain functions associated with the lower incomplete gamma function. Moreover, to illustrate the accuracy of the obtained results, several graphical representations are presented.

Mathematical Methods in the Applied Sciences
Northern Border University (SA), University of Kairouan (TN)
Reduced inequalities
Openalex Percentile: Top 3%
Analytic and geometric function theory
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