On A Generalization Of Humbert Polynomials
On a generalization of Humbert polynomials.
On a generating function of ultraspherical polynomals.
S. K. Chatterjea has recently proved a class of generating relations involving ultraspherical polynomials from the view point of continuous transformations-groups. The object of the present paper is to point out that this class of generating relations implies the explicit representation, the addition and the multiplication formulas, in addition to the usual generating relation for the ultraspherical polynomials.
On a Monotonicity Property of Bessel Functions.
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 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.