On certain theorems in transform calculus.
On certain transcendental functions
On Chebyshev's polynomials and certain combinatorial identities.
On classifying Laguerre polynomials which have Galois group the alternating group
We show that the discriminant of the generalized Laguerre polynomial is a non-zero square for some integer pair , with , if and only if belongs to one of explicitly given infinite sets of pairs or to an additional finite set of pairs. As a consequence, we obtain new information on when the Galois group of over is the alternating group . For example, we establish that for all but finitely many positive integers , the only for which the Galois group of over is is .
On Clenshaws's Method and a Generalisation to Faber Series.
On conformal representations of the interior of an ellipse.
On convergence and divergence of Fourier-Bessel series.
On convergence of orthogonal series of Bessel functions
On convergence of -series involving basic hypergeometric series.
On Decompositions of Some Random Variables.
On differential independence of the Riemann zeta function and the Euler gamma function
On Eulerian integrals of the first and second kind associated with multiple hypergeometric series
On extensions of the Laurents' theorem in the fractional calculus with applications to the generation of higer transcendental functions
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 generalizations of some results and their applications.
On generalized gamma functions related to the Laurent coefficients of the Riemann zeta function.
On generalized Hermite matrix polynomials.
On generalized Jacobi matrices and orthogonal polynomials.
On generalized Meijer's and associated generalized Legendre's functions