双参数广义 Nielsen 贝塔函数的不等式与渐近逼近

数学物理学报 ›› 2024, Vol. 44 ›› Issue (3): 575-585.

双参数广义 Nielsen 贝塔函数的不等式与渐近逼近

尹枥^*(),黄利国(),张聚梅()

滨州学院理学院山东滨州 256603

收稿日期:2023-04-24 修回日期:2023-08-01 出版日期:2024-06-26 发布日期:2024-05-17
通讯作者: *尹枥, Email：yinli_79@163.com
作者简介:黄利国, Email：liguoh123@bzu.edu.cn;|张聚梅, Email：wdzjm02@163.com
基金资助:
滨州学院重大项目(2020ZD02)

Inequality and Asymptotic Approximation Generalized Nielsen Beta Function with Two Parameters

Yin Li^*(),Huang Liguo(),Zhang Jumei()

College of Science, Binzhou University, Shandong Binzhou 256603

Received:2023-04-24 Revised:2023-08-01 Online:2024-06-26 Published:2024-05-17
Supported by:
Major Project of Binzhou University(2020ZD02)

摘要/Abstract

摘要：

该文介绍了经典 Nielsen 贝塔函数的一种双参数推广, 深入探讨了它的单调性、凹凸性、完全单调性与积分渐近性质, 并在此基础上建立了一些新的不等式.

关键词: Nielsen贝塔函数, 广义伽马函数, 渐近, 完全单调性, 不等式

Abstract:

In this paper, we introduces a two parameters generalization of the classical Nielsen beta function, discusses its monotonicity, concavity and convexity, complete monotonicity, and asymptotic properties of integrals, and establishes some new inequalities.

Key words: Nielsen beta function, Generalized gamma function, Asymptotic property, Complete monotonicity, Inequalities

中图分类号:

O178

尹枥, 黄利国, 张聚梅. 双参数广义 Nielsen 贝塔函数的不等式与渐近逼近[J]. 数学物理学报, 2024, 44(3): 575-585.

Yin Li, Huang Liguo, Zhang Jumei. Inequality and Asymptotic Approximation Generalized Nielsen Beta Function with Two Parameters[J]. Acta mathematica scientia,Series A, 2024, 44(3): 575-585.

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