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Titlebook: A Generalization of Bohr-Mollerup‘s Theorem for Higher Order Convex Functions; Jean-Luc Marichal,Na?m Zena?di Book‘‘‘‘‘‘‘‘ 2022 The Editor

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發(fā)表于 2025-3-21 16:11:46 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱A Generalization of Bohr-Mollerup‘s Theorem for Higher Order Convex Functions
影響因子2023Jean-Luc Marichal,Na?m Zena?di
視頻videohttp://file.papertrans.cn/141/140854/140854.mp4
發(fā)行地址This book is open access, which means that you have free and unlimited access.Gives a far-reaching generalization of the famous Bohr-Mollerup theorem from 1922.Provides a unified setting for the inves
學(xué)科分類Developments in Mathematics
圖書封面Titlebook: A Generalization of Bohr-Mollerup‘s Theorem for Higher Order Convex Functions;  Jean-Luc Marichal,Na?m Zena?di Book‘‘‘‘‘‘‘‘ 2022 The Editor
影響因子In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup‘s theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function..This open access book develops a far-reaching generalization of Bohr-Mollerup‘s theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup‘s theorem itself, Euler‘s reflection formula, Gauss‘ multiplication theorem, Stirling‘s formula, and Weierstrass‘ canonical factorization..The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma,
Pindex Book‘‘‘‘‘‘‘‘ 2022
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Conclusion, learned from practice, not from theory"), others were enthusiastic (" Just the sort of book I have always needed "). In my opinion the divergent recep- tion of the book is best explained by the comment of my friend, BALDER GLOOR *, who called the book a "grammar of eye surgery". Indeed there are pe
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