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 …

Fractional calculus is allowing integrals and derivatives of any positive order (the term
'fractional'kept only for historical reasons), which can be considered a branch of …

Integral transforms of an extended generalized multi-index Bessel function Page 1 http://www.aimspress.com/journal/Math
AIMS Mathematics, 5(6): 7531–7547. DOI: 10.3934/math.2020482 Received: 21 July 2020 …

In this paper, we introduce the extended type k-Mittag–Leffler function of two variables and
find its relation with other special functions. We also establish fractional integral and …

The Turán type inequalities attract attention in a variety of research fields such as orthogonal
polynomials and special functions. Using the newly established (p, k)-generalization of the …

In this paper, we establish fractional integral and derivative formulas involving the
generalized pk-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional …

The monotonicity and the representation formulae of generalized k k-Bessel functions, W_ ν,
c^ k W ν, ck, studied by SR Mondal. This paper establishes the image formulae and then …

The objective of this paper is to explore certain properties involving the generalized
hypergeometric function uFp, q; λ; σ, τ v [z], as introduced by Khan et al.[27]. Several …

In this article our main object to compute image formulas of generalized fractional
hypergeometric operators, involving the product of multivariable Srivastava polynomial and …

We establish certain integral formulas of extended type k-Mittag-Leffler function (k-MLf) of
two and one variables by using MacRobert, Lavoie and Trottier, and Oberhettinger integrals …