Results 91 to 100 of about 1,282 (191)

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

Representations of Indefinite Integrals Involving Exceptional Orthogonal Polynomials in Terms of Wronskians and Parameter Derivatives

Mathematics
We construct classes of indefinite integrals that involve exceptional orthogonal polynomials of Laguerre, Jacobi, or Hermite types. By means of a recently devised method, these integrals can be represented in closed form.
Axel Schulze-Halberg
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

Hermite and Laguerre 2D polynomials

Journal of Computational and Applied Mathematics, 2001
The Hermite \(2D\) polynomials \(H_{m,n} (U;x,y)\) and Laguerre \(2D\) polynomials \(L_{m,n} (U;z,\overline z)\) are defined as functions of two variables with an arbitrary \(2D\) matrix \(U\) as parameter. Their properties are discussed, explicit representations are given and recursion relations and generating functions for these polynomials are ...
openaire   +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

A highly accurate Hermite polynomial-based least-squares approach for solving fractional Volterra-Fredholm integro-differential equations. [PDF]

PLoS One
Hamood MM, Sharif AA, Ghadle KP.
europepmc   +1 more source

Hyperuniformity and non-hyperuniformity of zeros of Gaussian Weyl-Heisenberg Functions. [PDF]

Probab Theory Relat Fields
Feldheim N, Haimi A, Koliander G, Romero JL.   +3 more
europepmc   +1 more source