On a positive sine sum
On a q-deformed harmonic oscillator with variable linear momentum.
On a testing-function space for distributions associated with the Kontorovich-Lebedev transform.
We construct a testing function space, which is equipped with the topology that is generated by Lν,p - multinorm of the differential operatorAx = x2 - x d/dx [x d/dx],and its k-th iterates Akx, where k = 0, 1, ... , and A0xφ = φ. Comparing with other testing-function spaces, we introduce in its dual the Kontorovich-Lebedev transformation for distributions with respect to a complex index. The existence, uniqueness, imbedding and inversion properties are investigated. As an application we find a solution...
On a zonal polynomial integral.
On Abel summability of multiple Jacobi series
On a.e. convergence of expansion with respect to a bounded orthonormal system of polygonals
On an irreducibility theorem of I. Schur
On Appel-type quadrature rules.
On automorphic L-functions for the Jacobi group of degree one and a relation with L-functions for Jacobi forms.
On block recursions, Askey's sieved Jacobi polynomials and two related systems
Two systems of sieved Jacobi polynomials introduced by R. Askey are considered. Their orthogonality measures are determined via the theory of blocks of recurrence relations, circumventing any resort to properties of the Askey-Wilson polynomials. The connection with polynomial mappings is examined. Some naturally related systems are also dealt with and a simple procedure to compute their orthogonality measures is devised which seems to be applicable in many other instances.
On certain congruences for Fourier coefficients of classical cusp forms
On certain formulas for the multivariable hypergeometric functions.
On certain formulas of Karlin and Szegö.
On certain generating functions for Laguerre polynomials
On certain Heun functions, associated functions of discrete variables, and applications.
On certain properties of Hankel transform
On certain subclass of Bazilevič functions.
On certain sufficient condition involving Gaussian hypergeometric functions.
On certain theorems in transform calculus.
On Chebyshev's polynomials and certain combinatorial identities.