On a Monotonicity Property of Bessel Functions.
On a multiple Hilbert-type integral operator and applications.
On a New Class of Polynomial set Suggested by Hermite Polynomials
On a new set of orthogonal polynomials
An orthogonal system of polynomials, arising from a second-order ordinary differential equation, is presented.
On a new summation formula for basic bilateral hypergeometric series and its applications.
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.