O některých integrálech omezených
O vlastnostech nekonečných řad
Of the structure of the Euler mapping
On a functional equation for Jacobi's elliptic function cn(z; k).
On a generalisation of a function allied to Bateman's function
On a recurrence relation of generalized Mittag-Leffler function.
On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera.
On an open problem of Bai-Ni Guo and Feng Qi.
On asymptotics of discrete Mittag-Leffler function
The (modified) two-parametric Mittag-Leffler function plays an essential role in solving the so-called fractional differential equations. Its asymptotics is known (at least for a subset of its domain and special choices of the parameters). The aim of the paper is to introduce a discrete analogue of this function as a solution of a certain two-term linear fractional difference equation (involving both the Riemann-Liouville as well as the Caputo fractional -difference operators) and describe its...
On b-function, spectrum and rational singularity.
On Certain Definite Integrals.
On certain Heun functions, associated functions of discrete variables, and applications.
On certain inequalities involving the Lambert W function.
On certain transcendental functions
On conformal representations of the interior of an ellipse.
On Fractional Helmholtz Equations
MSC 2010: 26A33, 33E12, 33C60, 35R11In this paper we derive an analytic solution for the fractional Helmholtz equation in terms of the Mittag-Leffler function. The solutions to the fractional Poisson and the Laplace equations of the same kind are obtained, again represented by means of the Mittag-Leffler function. In all three cases the solutions are represented also in terms of Fox's H-function.
On generalisation of polynomials in complex plane.
On Hankel Transform of Generalized Mathieu Series
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu type series. These results generalize the corresponding ones on the Fourier transforms of Mathieu type series, obtained recently by Elezovic et al. [4], Tomovski [19] and Tomovski and Vu Kim Tuan [20].
On integral forms of generalised Mathieu series.
On product of generalized Appell polynomials