Results 111 to 120 of about 27,421 (244)

Regular Sobolev Type Orthogonal Polynomials: The Bessel Case [PDF]

, 1995
Francisco Marcellán, Teresa E. Pérez, Miguel A. Piñar   +2 more
openalex   +1 more source

The q-Lidstone series involving q-Bernoulli and q-Euler polynomials generated by the third Jackson q-Bessel function [PDF]

, 2023
Maryam Al-Towailb, Zeinab S. I. Mansour
openalex   +1 more source

On some algebraic properties of the Bessel polynomials [PDF]

Transactions of the American Mathematical Society, 1951
which reduces to the first, for a = b = 2. H. L. Krall and 0. Frink called them "Bessel polynomials"(3) on account of their connection with the Bessel functions. They studied in detail properties of the BP and the generalized BP, such as recurrence relations, orthogonality, equivalent of Rodrigues' formula, generating function, and so on.
openaire   +2 more sources

ON A UNIFIED OBERHETTINGER-TYPE INTEGRAL INVOLVING THE PRODUCT OF BESSEL FUNCTIONS AND SRIVASTAVA POLYNOMIALS [PDF]

, 2023
S. C. Pandey, Kuldeep Chaudhary
openalex   +1 more source

Certain results associated with q-Agarwal fractional integral operators and a q-class of special functions

Arab Journal of Basic and Applied Sciences
This article investigates certain q-analogue of the fractional Agarwal integral operator and its application to a class of polynomials and a series of functions. By utilizing various types of q-Bessel functions, the fractional q-Agarwal integral has been
Shrideh Al-Omari
doaj   +1 more source

On positive functions with positive Fourier transforms

, 2005
Using the basis of Hermite-Fourier functions (i.e. the quantum oscillator eigenstates) and the Sturm theorem, we derive the practical constraints for a function and its Fourier transform to be both positive.
Giraud, B. G., Peschanski, R.
core   +1 more source

Kronecker product bases and their applications in approximation theory

Electronic Research Archive
The Kronecker product is widely utilized to construct higher-dimensional spaces from lower-dimensional ones, making it an indispensable tool for efficiently analyzing multi-dimensional systems across various fields.
Mohra Zayed, Gamal Hassan
doaj   +1 more source

Evaluation of integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example [PDF]

, 2006
A. D. Alhaidari
openalex   +1 more source

Generalized Bessel Polynomial for Multi-Order Fractional Differential Equations [PDF]

, 2020
Mohammad Izadi, Carlo Cattani
openalex   +1 more source

Efficient Nyström-type method for the solution of highly oscillatory Volterra integral equations of the second kind. [PDF]

PLoS One, 2023
Wu Q, Sun M.
europepmc   +1 more source