Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
portes grátis
Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
Marichal, Jean-Luc; Zenaidi, Naim
Springer Nature Switzerland AG
07/2022
323
Mole
Inglês
9783030950903
15 a 20 dias
528
Descrição não disponível.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Difference Equation;Higher Order Convexity;Bohr-Mollerup's Theorem;Principal Indefinite Sums;Gauss' Limit;Euler Product Form;Raabe's Formula;Binet's Function;Stirling's Formula;Euler's Infinite Product;Euler's Reflection Formula;Weierstrass' Infinite Product;Gauss Multiplication Formula;Euler's Constant;Gamma Function;Polygamma Functions;Hurwitz Zeta Function;Generalized Stieltjes Constants
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Difference Equation;Higher Order Convexity;Bohr-Mollerup's Theorem;Principal Indefinite Sums;Gauss' Limit;Euler Product Form;Raabe's Formula;Binet's Function;Stirling's Formula;Euler's Infinite Product;Euler's Reflection Formula;Weierstrass' Infinite Product;Gauss Multiplication Formula;Euler's Constant;Gamma Function;Polygamma Functions;Hurwitz Zeta Function;Generalized Stieltjes Constants
