[图书][B] Series of Bessel and Kummer-type functions

Á Baricz, DJ Maširević, TK Pogány, DJ Maširević… - 2017 - Springer
The summation of series of special functions (or, accepting Turán's intervention,“useful
functions”) is a subdiscipline of Classical Analysis. Functional series built from members of …

О константах Рисса для некоторых систем целочисленных сдвигов

ЕА Киселев, ЛА Минин, ИЯ Новиков… - Математические …, 2014 - mathnet.ru
В работе изучаются однопараметрические семейства целочисленных сдвигов функций
Гаусса и Лоренца. В случае функции Лоренца получены формулы для коэффициентов …

On the Riesz constants for systems of integer translates

EA Kiselev, LA Minin, IY Novikov, SM Sitnik - Mathematical Notes, 2014 - Springer
In this paper, one-parameter families of integer translates of the Gaussian and Lorentz
functions are studied. For a Lorentz function, we obtain formulas for the coefficients of the …

Integral representations and summations of the modified Struve function

Á Baricz, TK Pogány - Acta Mathematica Hungarica, 2013 - Springer
It is known that the Struve function H ν and the modified Struve function L ν are closely
connected to the Bessel function of the first kind J ν and to the modified Bessel function of …

Convergence of Infinite Product by Schlömilch's Method

NK Kumar - Tribhuvan University Journal, 2023 - nepjol.info
CONVERGENCE OF INFINITE PRODUCT BY SCHLÖMILCH'S METHOD Page 1 108 Tribhuvan
University Journal Vol. 38, No. 1: 108-118, June, 2023 Research Directorate, Tribhuvan University …

On Evaluation of Riesz Constants for Systems of Shifted Gaussians

EA Kiselev, LA Minin, IY Novikov, SM Sitnik - arXiv preprint arXiv …, 2013 - arxiv.org
In this paper we study single-parametric systems of integer shifts of Gauss and Lorenz
functions. In case of Cauchy--Lorenz system we explicitly calculate nod functions and prove …

On coefficients of Kapteyn-type series

D Jankov, T Pogány - Mathematica slovaca, 2014 - degruyter.com
Abstract Quite recently Jankov and Pogány JANKOV, D.—POGÁNY, TK: Integral
representation of Schlömilch series, J. Classical Anal. 1 (2012) 75–84 derived a double …

p-Extended Mathieu Series from the Schlömilch Series Point of View

DJ Maširević, TK Pogány - Vietnam journal of mathematics, 2017 - Springer
p-Extended Mathieu Series from the Schlömilch Series Point of View | Vietnam Journal of
Mathematics Skip to main content SpringerLink Account Menu Find a journal Publish with us …

Summations of Schlömilch series containing some Lommel functions of the first kind terms

D Jankov Maširević - Integral transforms and special functions, 2016 - Taylor & Francis
Full article: Summations of Schlömilch series containing some Lommel functions of the first
kind terms Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Summations of Schlömilch series containing modified Bessel function of the second kind terms

DJ Maširević - Integral transforms and special functions, 2015 - Taylor & Francis
The main aim of this article is to establish certain closed expressions for the Schlömilch
series which members contain modified Bessel functions of the second kind and to obtain …