Aim of the present paper is to establish fractional integral formulas by using fractional
calculus operators involving the generalized (p, q)-Mathieu type series. Then, their …

The main purpose of this paper is to present a number of potentially useful integral
representations for the familiar Mathieu a-series as well as for its alternating version. These …

ON INTEGRAL FORMS OF GENERALISED MATHIEU SERIES 1. Introduction The series (1.1)
S (r) = ∑ 2n (n2 + r2) , r> 0 is well know Page 1 ON INTEGRAL FORMS OF GENERALISED …

The authors investigate several recently posed problems involving the familiar Mathieu
series and its various generalizations. For certain families of generalized Mathieu series …

By making use of the familiar Mathieu series and its generalizations, the authors derive a
number of new integral representations and present a systematic study of probability density …

The Mathieu series appeared in the study of elasticity of solid bodies in the work of Émile
Leonard Mathieu. Since then numerous authors have studied various problems arising from …

Integral representation of Mathieu (a, λ)-series Page 1 Integral Transforms and Special
Functions Vol. 16, No. 8, December 2005, 685–689 Integral representation of Mathieu (a, λ)-series …

The main object of this article is to present a systematic study of integral representations for
generalized Mathieu series and its alternating variant, and to derive a new integral …

In this paper several integral representations for the generalized fractional order Mathieu
type power series S_μ(r;x)=∑n=1^∞2nx^n(n^2+r^2)^μ+1(r∈R,μ>0,|x|\leqslant1) are …

In this paper using the trapezoidal quadrature rule, we established new double inequality,
for Mathieu's series of following type: s(a,p,α)=∑n=1^∞2n^α/2(n^α+α^2)^p+1, where a> 0 …