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A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex FunctionsApplications to Some Standard Special Functions

A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions: Applications to... [We now apply our results to certain multiple Γ-type functions and multiple logΓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\log \Gamma $$ \end{document}-type functions that are known to be well-studied special functions, namely: the gamma function, the digamma function, the polygamma functions, the q-gamma function, the Barnes G-function, the Hurwitz zeta function and its higher order derivatives, the generalized Stieltjes constants, and the Catalan number function. For recent background on some of these functions, see, e.g., Srivastava and Choi (Zeta andq-zeta functions and associated series and integrals. Elsevier, Amsterdam, 2012).] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex FunctionsApplications to Some Standard Special Functions

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Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s) 2022. This book is an open access publication.
ISBN
978-3-030-95087-3
Pages
179 –254
DOI
10.1007/978-3-030-95088-0_10
Publisher site
See Chapter on Publisher Site

Abstract

[We now apply our results to certain multiple Γ-type functions and multiple logΓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\log \Gamma $$ \end{document}-type functions that are known to be well-studied special functions, namely: the gamma function, the digamma function, the polygamma functions, the q-gamma function, the Barnes G-function, the Hurwitz zeta function and its higher order derivatives, the generalized Stieltjes constants, and the Catalan number function. For recent background on some of these functions, see, e.g., Srivastava and Choi (Zeta andq-zeta functions and associated series and integrals. Elsevier, Amsterdam, 2012).]

Published: Mar 10, 2022

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