Results 91 to 100 of about 1,233 (186)

A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function

Abstract and Applied Analysis, 2010
The main object of this paper is to construct a new generating function of the (q-) Bernstein-type polynomials. We establish elementary properties of this function. By using this generating function, we derive recurrence relation and derivative of the (q-
Yilmaz Simsek, Mehmet Acikgoz
doaj   +1 more source

The combinatorics of associated Hermite polynomials

European Journal of Combinatorics, 2009
[v1]: 18 pages, 16 figures; presented at FPSAC 2007 [v2]: Some minor errors fixed (thanks Bill Chen, Jang Soo Kim) and text rearranged and cleaned up; no real content changes [v3]: fixed typos, to appear in European J ...
openaire   +3 more sources

Certain Summation and Operational Formulas Involving Gould–Hopper–Lambda Polynomials

Mathematics
This manuscript introduces the family of Gould–Hopper–Lambda polynomials and establishes their quasi-monomial properties through the umbral method. This approach serves as a powerful mechanism to analyze the characteristic of multi-variable special ...
Maryam Salem Alatawi
doaj   +1 more source

Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, explicit expression and the weight function for these polynomials are obtained.
Luc Vinet, Alexei Zhedanov
doaj  

On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach

Mathematics
The main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant analytical characterizations of these polynomials using various generating function techniques
Mumtaz Riyasat, Amal S. Alali, Shahid Ahmad Wani, Subuhi Khan   +3 more
doaj   +1 more source

A generalization of Phillips operators by using the Appell polynomials of class A ( 2 ) $A^{(2)}$

Journal of Inequalities and Applications
The current paper discusses some important approximation properties of a new modification of the Phillips operators with the help of A ( 2 ) $A^{(2)}$ class Appell polynomials.
Melek Sofyalıoğlu Aksoy
doaj   +1 more source

On Generalized Class of Bell Polynomials Associated with Geometric Applications

Axioms
In this paper, we introduce a new class of special polynomials called the generalized Bell polynomials, constructed by combining two-variable general polynomials with two-variable Bell polynomials. The concept of the monomiality principle was employed to
Rashad A. Al-Jawfi, Abdulghani Muhyi, Wadia Faid Hassan Al-shameri   +2 more
doaj   +1 more source

Some symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials. [PDF]

Springerplus, 2016
Khan WA, Haroon H.
europepmc   +1 more source

Composite Hermite and Anti-Hermite Polynomials

Advances in Pure Mathematics, 2015
The Weber-Hermite differential equation, obtained as the dimensionless form of the stationary Schroedinger equation for a linear harmonic oscillator in quantum mechanics, has been expressed in a generalized form through introduction of a constant conjugation parameter according to the transformation , where the conjugation parameter is set to unity ...
openaire   +2 more sources

Hermite polynomials

Introduction to Hermite polynomials and differential equation, with an application to the quantistic harmonic oscillator.
openaire   +3 more sources