Higher order monotonocity in the context of beta and gamma functions

Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning

Standard

Higher order monotonocity in the context of beta and gamma functions. / Askitis, Dimitris.

Department of Mathematical Sciences, Faculty of Science, University of Copenhagen, 2018.

Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning

Harvard

Askitis, D 2018, Higher order monotonocity in the context of beta and gamma functions. Department of Mathematical Sciences, Faculty of Science, University of Copenhagen. <https://soeg.kb.dk/permalink/45KBDK_KGL/fbp0ps/alma99122400832005763>

APA

Askitis, D. (2018). Higher order monotonocity in the context of beta and gamma functions. Department of Mathematical Sciences, Faculty of Science, University of Copenhagen. https://soeg.kb.dk/permalink/45KBDK_KGL/fbp0ps/alma99122400832005763

Vancouver

Askitis D. Higher order monotonocity in the context of beta and gamma functions. Department of Mathematical Sciences, Faculty of Science, University of Copenhagen, 2018.

Author

Askitis, Dimitris. / Higher order monotonocity in the context of beta and gamma functions. Department of Mathematical Sciences, Faculty of Science, University of Copenhagen, 2018.

Bibtex

@phdthesis{73cc657c793d4f519ec25f80cb781f8a,
title = "Higher order monotonocity in the context of beta and gamma functions",
abstract = "The present thesis investigates higher monotonicity properties in function theory. It consists of three manuscripts. The first one focuses in the beta distribution and its quantiles. It proves logarithmic concavity of the quantiles with respect to the first parameters. The second manuscript computes asymptotic expansions for the quantiles for the first parameter going to 0 or to infinity. The third manuscript is a generalisation of a complete monotonicity result on ratios of gamma functions to entire functions. It also gives a different point of view to previously known results, which were shown only using dedicated properties of the gamma and digamma functions.",
author = "Dimitris Askitis",
year = "2018",
language = "English",
publisher = "Department of Mathematical Sciences, Faculty of Science, University of Copenhagen",

}

RIS

TY - BOOK

T1 - Higher order monotonocity in the context of beta and gamma functions

AU - Askitis, Dimitris

PY - 2018

Y1 - 2018

N2 - The present thesis investigates higher monotonicity properties in function theory. It consists of three manuscripts. The first one focuses in the beta distribution and its quantiles. It proves logarithmic concavity of the quantiles with respect to the first parameters. The second manuscript computes asymptotic expansions for the quantiles for the first parameter going to 0 or to infinity. The third manuscript is a generalisation of a complete monotonicity result on ratios of gamma functions to entire functions. It also gives a different point of view to previously known results, which were shown only using dedicated properties of the gamma and digamma functions.

AB - The present thesis investigates higher monotonicity properties in function theory. It consists of three manuscripts. The first one focuses in the beta distribution and its quantiles. It proves logarithmic concavity of the quantiles with respect to the first parameters. The second manuscript computes asymptotic expansions for the quantiles for the first parameter going to 0 or to infinity. The third manuscript is a generalisation of a complete monotonicity result on ratios of gamma functions to entire functions. It also gives a different point of view to previously known results, which were shown only using dedicated properties of the gamma and digamma functions.

UR - https://soeg.kb.dk/permalink/45KBDK_KGL/fbp0ps/alma99122400832005763

M3 - Ph.D. thesis

BT - Higher order monotonocity in the context of beta and gamma functions

PB - Department of Mathematical Sciences, Faculty of Science, University of Copenhagen

ER -

ID: 203324843