On generalized Hermite matrix polynomials.
On generalized Jacobi matrices and orthogonal polynomials.
On Hermite expansion of
On Hermite expansions of and ln|x|
On Hermite-Hermite matrix polynomials
In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented. A new expansion of the matrix exponential for a wide class of matrices in terms of Hermite-Hermite matrix polynomials is proposed.
On linear combinations of two orthogonal polynomial sequences on the unit circle.
On orthogonal polynomials related to Fibonacci numbers
On Polynomials Associated With Humbert's Polynomials
On -Euler numbers related to the modified -Bernstein polynomials.
On rational classical orthogonal polynomials and their application for explicit computation of inverse Laplace transforms.
On recurrence relations for radial wave functions for the -th dimensional oscillators and hydrogenlike atoms: analytical and numerical study.
On Reimer recurrences
On rules of derivation with complex order for analytic and branched functions
On some generalized Sister Celine’s polynomials
Certain generalizations of Sister Celine’s polynomials are given which include most of the known polynomials as their special cases. Besides, generating functions and integral representations of these generalized polynomials are derived and a relation between generalized Laguerre polynomials and generalized Bateman’s polynomials is established.
On some properties of Chebyshev polynomials
Letting (resp. ) be the n-th Chebyshev polynomials of the first (resp. second) kind, we prove that the sequences and for n - 2⎣n/2⎦ ≤ k ≤ n - ⎣n/2⎦ are two basis of the ℚ-vectorial space formed by the polynomials of ℚ[X] having the same parity as n and of degree ≤ n. Also and admit remarkableness integer coordinates on each of the two basis.
On Some Results on H-Functions Associated with Orthogonal Polynomials.
On squares of Hermite polynomials.
On systems of orthogonal polynomials with inner and end point masses
On the asymptotic behaviour of some sequences of polynomials generated by second order linear recurrence relations.
On the asymptotic distributions of certain functional of eigenvalues of correlation matrices