Contributions to the Theory of Zeta-Func
Pris
Pris
1 889,- 1 889,-
E-Bok
Format E-Bok
Filformat PDF
Utgivelsesår 2014
Forlag World Scientific Publishing Co
Språk Engelsk
ISBN 9789814449625
Sider 316
Se flere detaljer  

Om Contributions to the Theory of Zeta-Func

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations — zeta symmetry — which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions.This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta- functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions.Contents:PreludeGrocery of Special FunctionsUnprocessed Modular RelationsFourier-Bessel Expansion H1;11;1↔ H2;00;2The Ewald Expansion or the Incomplete Gamma SeriesThe Riesz SumsThe General Modular RelationThe Hecke Type Zeta-functionsThe Product of Zeta-functionsMiscellanyReadership: Graduate students and researchers in functional equations and special functions.Key Features:The book gives a thorough description of a.a. possible equivalent relations to the functional equation in terms of the H-function series for zeta-functions that have been studiedGiven a functional equation, the book immediately informs the reader of the direction to be taken to reach the ultimate aim concerning the zeta-function in both pure and applied disciplinesThe reader can forget about the difficult definition of zeta-functions themselves and can refer to the form of functional equation and check how multiple is the gamma factor


Kundevurderinger

ARKs anbefalinger

Det finnes ingen vurderinger av dette produktet. Skriv anmeldelse

Anbefalt


Tips en venn