On a non-self adjoint expansion formula.
On a positive sine sum
On a -analogue of Sándor's function.
On a q-deformed harmonic oscillator with variable linear momentum.
On a recurrence relation of generalized Mittag-Leffler function.
On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera.
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 two-variable -adic -function.
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 inequality conjectured by T. J. Lyons.
On an irreducibility theorem of I. Schur
On an open problem of Bai-Ni Guo and Feng Qi.
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.
On Appel-type quadrature rules.
On asymptotics of discrete Mittag-Leffler function
The (modified) two-parametric Mittag-Leffler function plays an essential role in solving the so-called fractional differential equations. Its asymptotics is known (at least for a subset of its domain and special choices of the parameters). The aim of the paper is to introduce a discrete analogue of this function as a solution of a certain two-term linear fractional difference equation (involving both the Riemann-Liouville as well as the Caputo fractional -difference operators) and describe its...
On asymptotics of the maximum likelihood scale invariant estimator of the shape parameter of the gamma distribution
The maximum likelihood scale invariant estimator of the shape parameter of the gamma distribution, proposed by the authors [Statist. Probab. Lett. 78 (2008)], is considered. The asymptotics of the mean square error of this estimator, with respect to that of the usual maximum likelihood estimator, is established.
On automorphic L-functions for the Jacobi group of degree one and a relation with L-functions for Jacobi forms.
On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms
We provide a new approach to establishing certain q-series identities that were proved by Andrews, and show how to prove further identities using conjugate Bailey pairs. Some relations between some q-series and ternary quadratic forms are established.