Results 61 to 70 of about 194 (93)

Generalized Hermite Polynomials and Supergaussian Forms

open access: yes, 1996
We discuss Hermite polynomials of the Gould–Hopper type, the associated harmonic oscillator-like functions, the differential equations they satisfy, and the relevant creation–annihilation operator algebra.
Torre, A.   +9 more
core   +1 more source

On the approximation by Bezier-Paltanea operators based on Gould Hopper polynomials

open access: yes, 2019
In the present article, we give a Bezier variant of Paltanea operators whichinvolves Gould Hopper polynomials. First, we investigate rate of convergence by using Ditzian-Totik modulus of smoothness, weighted modulus of continuity and also for class ...
Khursheed J. Ansari   +5 more
core  

Parametric kinds of generalized Apostol-Bernoulli polynomials and their properties

open access: yes, 2023
The purpose of this paper is to define generalized Apostol--Bernoulli polynomials with including a new cosine and sine parametric type of generating function using the quasi-monomiality properties and trigonometric functions.
Qi, Feng   +3 more
core  

Generalization of Szasz operators involving Brenke type polynomials

open access: yes, 2012
The purpose of this paper is to give a generalization of Szasz operators defined by means of the Brenke type polynomials. We obtain convergence properties of our operators with the help of Korovkin’s theorem and the order of convergence by using a ...
Varma, Serhan   +2 more
core   +1 more source

Hermite based poly-bernoulli polynomials with a g-parameter

open access: yes, 2018
We introduce the Hermite based poly-Bernoulli polynomials with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations.
Araci, Serkan   +2 more
core   +1 more source

Hermite based Poly-Bernoulli Polynomials with a <em>q</em>-parameter

open access: yes, 2018
We introduce the Hermite based poly-Bernoulli polynomials with a q parameter and give someof their basic properties including not only addition property, but also derivative properties and integralrepresentations.
Ugur Duran, Mehmet Acikgoz, Serkan Araci
core   +1 more source

GENERALIZATIONS OF THE BERNOULLI AND APPELL POLYNOMIALS

open access: yes, 2002
We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag-Leffler functions.
Gabriella Bretti   +2 more
core   +1 more source

d- orthogonal polynomials

open access: yes, 2013
Bu çalışmada d-ortogonal polinomlar incelenmiştir. İlk olarak önbilgiler ve kullanılacak olan bazı kavramlar, d-ortogonallikle ilgili tanımlar ve lemmalar verilmiştir.
Orucova, Gülşen
core  

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