Creation and annihilation operators for orthogonal polynomials of continuous and discrete variables.
Cube Groups Invariant Spherical Harmonics and Krawtchouk Polynomials.
Curriculum vita of Prof. Vasil Atanasov Popov
Our primary goal in this preamble is to highlight the best of Vasil Popov’s mathematical achievements and ideas. V. Popov showed his extraordinary talent for mathematics in his early papers in the (typically Bulgarian) area of approximation in the Hausdorff metric. His results in this area are very well presented in the monograph of his advisor Bl. Sendov, “Hausdorff Approximation”.
Cyclic random motions in -space with n directions
We study the probability distribution of the location of a particle performing a cyclic random motion in . The particle can take n possible directions with different velocities and the changes of direction occur at random times. The speed-vectors as well as the support of the distribution form a polyhedron (the first one having constant sides and the other expanding with time t). The distribution of the location of the particle is made up of two components: a singular component (corresponding...
Deformed Heisenberg algebra with reflection and -orthogonal polynomials
This paper is devoted to the study of matrix elements of irreducible representations of the enveloping deformed Heisenberg algebra with reflection, motivated by recurrence relations satisfied by hypergeometric functions. It is shown that the matrix elements of a suitable operator given as a product of exponential functions are expressed in terms of -orthogonal polynomials, which are reduced to the orthogonal Meixner polynomials when . The underlying algebraic framework allowed a systematic derivation...
Degree two monomial representations of local Weil groups.
Démonstration «automatique» d'identités et fonctions hypergéométriques
Démonstration élémentaire des formules qui donnent la somme des puissances de deux nombres en fonction de la somme et du produit de ces nombres, et en fonction d’une seule des deux lignes ou
Derangements and applications.
Derivation of the Hille-Hardy type formulae and operational methods
The Hille-Hardy formula is a bilinear generating function, involving products of Laguerre polynomials. We use the point of view, developed in previous publications, to propose an operational method which allows a fairly direct derivation of this kind of formulae.
Derivative operator on a hypergeometric function of three complex variables.
Derivatives of Catalan related sums.
Derivatives of orthonormal polynomials and coefficients of Hermite-Fejér interpolation polynomials with exponential-type weights.
Desarrollos asintóticos de funciones de Airy generalizadas.
Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions.
Determinant inequalities for sieved ultraspherical polynomials.
Development in series of orthogonal polynomials with applications in optimization.
Développements des distributions en séries de fonctions orthogonales. Séries de Legendre et de Laguerre
Développements sur certaines séries de polynômes à un nombre quelconque de variables
Die Fourier-Besselsche Function.