Summations of Schlömilch series containing anger function terms-Reference-Cited by-同舟云学术

Summations of Schlömilch series containing anger function terms

Published:2018-02-01 Issue:1 Volume:68 Page:103-114
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Maširević Dragana Jankov¹

Affiliation:

1. Department of Mathematics , University of Osijek , Trg Lj. Gaja 6, 31000 Osijek , Croatia

Abstract

Abstract The main aim of this article is to establish certain closed expressions for the Schlömilch series which members contain Anger function 𝐉 ν in order to generalize already known results. Closed expressions for the Schlömilch series with members containing some Lommel functions of the first kind s μ,ν and also a Weber function 𝐄 ν and Struve function 𝐇 ν are derived as a by–product of these results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0084/pdf

Reference16 articles.

1. Abramowitz, M.—Stegun, I. A. (eds): Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series 55, National Bureau of Standards, Washington, D. C., 1964; Reprinted by Dover Publications, New York, 1965.

2. Anger, C. T.: Neueste Schriften der Naturforschenden Gesellschaft in Danzig, 5 (1855), 1–29.

3. Bernstein, I. B.: Waves in a plasma in a magnetic field, Phys. Rev. 109 (1958), pp. 10.10.1103/PhysRev.109.10

4. Brychkov, Yu. A.: Handbook of Special Functions: Derivatives, Integrals, Series and Other Formulas, CRC, Boca Raton, 2008.

5. Brychkov, Yu. A.: On some formulas for WeberEν(z) and AngerJν(z) functions, Integral Transforms Spec. Funct. 18 (2007), 15–26.10.1080/10652460600933382