Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (3): 575-585.

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Inequality and Asymptotic Approximation Generalized Nielsen Beta Function with Two Parameters

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

  1. 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)

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

CLC Number: 

  • O178
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