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The relativistic Hermite polynomial is a Gegenbauer polynomial

Journal of Mathematical Physics, 1994
It is shown that the polynomials introduced recently by Aldaya, Bisquert, and Navarro-Salas [Phys. Lett. A 156, 381 (1991)] in connection with a relativistic generalization of the quantum harmonic oscillator can be expressed in terms of Gegenbauer polynomials. This fact is useful in the investigation of the properties of the corresponding wave function.
openaire +2 more sources

A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties

AIMS Mathematics, 2021
Waseem Ahmad Khan, Abdulghani Muhyi, Rifaqat Ali +2 more
exaly

Computational formulas and identities for new classes of Hermite‐based Milne–Thomson type polynomials: Analysis of generating functions with Euler's formula

Mathematical Methods in the Applied Sciences, 2021
Neslihan Kilar, Yilmaz Simsek
exaly

A Comparative Approach for Time‐Delay Fractional Optimal Control Problems: Discrete Versus Continuous Chebyshev Polynomials

Asian Journal of Control, 2020
Fakhrodin Mohammadi, Leila Moradi
exaly

Recursive formula to compute Zernike radial polynomials

Optics Letters, 2013
Barmak Honarvar Shakibaei Asli
exaly

On the multidimensional zeta functions associated with theta functions, and the multidimensional Appell polynomials

Mathematical Methods in the Applied Sciences, 2020
Abdelmejid Bayad, Mounir Hajli
exaly

Resolving capacity of the circular Zernike polynomials

Optics Express, 2015
N I Chkhalo, Mikhail Toropov
exaly