Increasing property and logarithmic convexity of functions involving Dirichlet lambda function

Abstract: In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary function involving the exponential function, the authors find increasing property and logarithmic convexity of two functions containing the gamma function and the Dirichlet lambda function.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Increasing property and logarithmic convexity of functions involving Dirichlet lambda function ; volume:56 ; number:1 ; year:2023 ; extent:6
Demonstratio mathematica ; 56, Heft 1 (2023) (gesamt 6)

Creator
Qi, Feng
Lim, Dongkyu

DOI
10.1515/dema-2022-0243
URN
urn:nbn:de:101:1-2023072914031190143661
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:48 AM CEST

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Associated

  • Qi, Feng
  • Lim, Dongkyu

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