Notes on three conjectures involving the digamma and generalized digamma functions

In the paper, we solve one conjecture on an inequality involving digamma function, an open problem, and a conjecture on monotonicity of functions involving generalized digamma function. We also prove a new inequality for digamma function.

Detalles Bibliográficos
Autor principal: Matejíčka, Ladislav
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6291440/
https://www.ncbi.nlm.nih.gov/pubmed/30839854
http://dx.doi.org/10.1186/s13660-018-1936-z
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author Matejíčka, Ladislav
author_facet Matejíčka, Ladislav
author_sort Matejíčka, Ladislav
collection PubMed
description In the paper, we solve one conjecture on an inequality involving digamma function, an open problem, and a conjecture on monotonicity of functions involving generalized digamma function. We also prove a new inequality for digamma function.
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spelling pubmed-62914402018-12-27 Notes on three conjectures involving the digamma and generalized digamma functions Matejíčka, Ladislav J Inequal Appl Research In the paper, we solve one conjecture on an inequality involving digamma function, an open problem, and a conjecture on monotonicity of functions involving generalized digamma function. We also prove a new inequality for digamma function. Springer International Publishing 2018-12-12 2018 /pmc/articles/PMC6291440/ /pubmed/30839854 http://dx.doi.org/10.1186/s13660-018-1936-z Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Matejíčka, Ladislav
Notes on three conjectures involving the digamma and generalized digamma functions
title Notes on three conjectures involving the digamma and generalized digamma functions
title_full Notes on three conjectures involving the digamma and generalized digamma functions
title_fullStr Notes on three conjectures involving the digamma and generalized digamma functions
title_full_unstemmed Notes on three conjectures involving the digamma and generalized digamma functions
title_short Notes on three conjectures involving the digamma and generalized digamma functions
title_sort notes on three conjectures involving the digamma and generalized digamma functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6291440/
https://www.ncbi.nlm.nih.gov/pubmed/30839854
http://dx.doi.org/10.1186/s13660-018-1936-z
work_keys_str_mv AT matejickaladislav notesonthreeconjecturesinvolvingthedigammaandgeneralizeddigammafunctions

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