Authors: Stanković, Miomir 
Vidanović, Mirjana
Tričković, Slobodan
Title: On the Summation of Series Involving Bessel or Struve Functions
Journal: Journal of Mathematical Analysis and Applications
Volume: 247
Issue: 1
First page: 15
Last page: 26
Issue Date: 1-Jul-2000
Rank: M22
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.6790
The subject called "summation of series" can be viewed in two different ways. From one point of view, it means numerical summation which involves acceleration of convergence, and from the other, it represents a variety of summation formulas which are considered important, but which are often not useful. The aim of this paper is to produce a compromise between the two opposite approaches when series of Bessel or Struve functions are considered. The proposed method leads to series of Riemann zeta and related functions which converge much faster than the originals. In the most significant cases, closed-form formulas were obtained.
Keywords: Bessel functions; Struve functions; Riemann zeta and related functions
Publisher: Elsevier

Show full item record


checked on Jun 12, 2024

Page view(s)

checked on May 9, 2024

Google ScholarTM




Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.