Kernel functions for difference operators of Ruijsenaars type and their applications.
Kostka-Foulkes polynomials for symmetrizable Kac-Moody algebras.
Macdonald polynomials and multivariable basic hypergeometric series.
Mathematical structures behind supersymmetric dualities
The purpose of these notes is to give a short survey of an interesting connection between partition functions of supersymmetric gauge theories and hypergeometric functions and to present the recent progress in this direction.
Mean Value Theorems in q-calculus
More statistics on permutation pairs.
Multivariable -Hahn polynomials as coupling coefficients for quantum algebra representations.
Multivariate -adic fermionic -integral on and related multiple zeta-type functions.
New identities for the Rogers-Ramanujan functions
New inequalities for some special and -special functions.
Noncommutative extensions of Ramanujan's summation.
Nonnegative linearization of orthogonal polynomials
Nonsymmetric Koornwinder polynomials and duality.
Note on -extensions of Euler numbers and polynomials of higher order.
Note on -Nasybullin's lemma associated with the modified -adic -Euler measure.
Note on the -extension of Barnes' type multiple Euler polynomials.
On a generalization of close-to-convex functions
The paper of M. Ismail et al. [Complex Variables Theory Appl. 14 (1990), 77-84] motivates the study of a generalization of close-to-convex functions by means of a q-analog of the difference operator acting on analytic functions in the unit disk 𝔻 = {z ∈ ℂ:|z| < 1}. We use the term q-close-to-convex functions for the q-analog of close-to-convex functions. We obtain conditions on the coefficients of power series of functions analytic in the unit disk which ensure that they generate functions in...
On a -analogue of Sándor's function.
On a two-variable -adic -function.
On another extension of -Pfaff-Saalschütz formula
In this paper we give an extension of -Pfaff-Saalschütz formula by means of Andrews-Askey integral. Applications of the extension are also given, which include an extension of -Chu-Vandermonde convolution formula and some other -identities.