Series Associated With the Zeta and Related Functions

Released on by Hari M. Srivastava
preview-18

  • Series Associated With the Zeta and Related Functions Book Detail

  • Author : Hari M. Srivastava
  • Release Date : 2001
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 408
  • ISBN 13 : 9780792370543
  • File Size : 5,5 MB
DOWNLOAD BOOK

Series Associated With the Zeta and Related Functions by Hari M. Srivastava PDF Summary

Book Description: In recent years there has been an increasing interest in problems involving closed form evaluations of (and representations of the Riemann Zeta function at positive integer arguments as) various families of series associated with the Riemann Zeta function ((s), the Hurwitz Zeta function ((s,a), and their such extensions and generalizations as (for example) Lerch's transcendent (or the Hurwitz-Lerch Zeta function) iI>(z, s, a). Some of these developments have apparently stemmed from an over two-century-old theorem of Christian Goldbach (1690-1764), which was stated in a letter dated 1729 from Goldbach to Daniel Bernoulli (1700-1782), from recent rediscoveries of a fairly rapidly convergent series representation for ((3), which is actually contained in a 1772 paper by Leonhard Euler (1707-1783), and from another known series representation for ((3), which was used by Roger Apery (1916-1994) in 1978 in his celebrated proof of the irrationality of ((3). This book is motivated essentially by the fact that the theories and applications of the various methods and techniques used in dealing with many different families of series associated with the Riemann Zeta function and its aforementioned relatives are to be found so far only"in widely scattered journal articles. Thus our systematic (and unified) presentation of these results on the evaluation and representation of the Zeta and related functions is expected to fill a conspicuous gap in the existing books dealing exclusively with these Zeta functions.

Disclaimer: www.yourbookbest.com does not own Series Associated With the Zeta and Related Functions books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

The Lerch zeta-function

The Lerch zeta-function

File Size : 50,50 MB
Total View : 6352 Views
DOWNLOAD

The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic re