A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions

Jean-Luc Marichal, Naïm Zenaïdi (Autoren)

Buch | Softcover

XVIII, 323 Seiten

2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-030-95090-3 (ISBN)

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Preface.- List of main symbols.- Table of contents.- Chapter 1. Introduction.- Chapter 2. Preliminaries.- Chapter 3. Uniqueness and existence results.- Chapter 4. Interpretations of the asymptotic conditions.- Chapter 5. Multiple log-gamma type functions.- Chapter 6. Asymptotic analysis.- Chapter 7. Derivatives of multiple log-gamma type functions.- Chapter 8. Further results.- Chapter 9. Summary of the main results.- Chapter 10. Applications to some standard special functions.- Chapter 11. Definining new log-gamma type functions.- Chapter 12. Further examples.- Chapter 13. Conclusion.- A. Higher order convexity properties.- B. On Krull-Webster's asymptotic condition.- C. On a question raised by Webster.- D. Asymptotic behaviors and bracketing.- E. Generalized Webster's inequality.- F. On the differentiability of /sigma_g.- Bibliography.- Analogues of properties of the gamma function.- Index.

Erscheinungsdatum	08.07.2022
Reihe/Serie	Developments in Mathematics
Zusatzinfo	XVIII, 323 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Analysis • Binet's function • Bohr-Mollerup's theorem • Convexity • difference equation • Difference Equations • Euler product form • Euler's constant • Euler's infinite product • Euler's Reflection Formula • gamma function • Gauss' limit • Gauss multiplication formula • Generalized Stieltjes constants • higher order convexity • Hurwitz zeta function • Mathematics • open access • Polygamma functions • Principal indefinite sums • Raabe's formula • Stirling's formula • Weierstrass' infinite product
ISBN-10	3-030-95090-5 / 3030950905
ISBN-13	978-3-030-95090-3 / 9783030950903
Zustand	Neuware