Convexity of the zero-balanced Gaussian hypergeometric functions with respect to Hölder means.
Convexity properties and inequalities for a generalized gamma function.
Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind.
Convolutions with hypergeometric functions.
Counting upper interactions in Dyck paths.
Covering systems, Kubert identities and difference equations
Creation and annihilation operators for orthogonal polynomials of continuous and discrete variables.
Critical points of the product of powers of linear functions and families of bases of singular vectors
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 mean-value inequalities for the gamma function
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...
Das Additionstheorem der ultra-elliptischen Functionen erster Ordnung [Book]
Decomposition principle for the reciprocal of the factorial.
Definitionen der Bernoulli-Polynome mit Hilfe ihrer Multiplikationstheoreme.
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...
Degenerate series representations of the -deformed algebra .
Degree two monomial representations of local Weil groups.
Démonstration «automatique» d'identités et fonctions hypergéométriques
Démonstration des expressions de