Results 121 to 130 of about 128,844 (218)

Normal moments and Hermite polynomials

Hermite polynomials are used to derive expressions for the moments about the origin of univariate and multivariate normal distributions. A recurrence relation derived for multivariate Hermite polynomials leads to a recurrence relation for the ...
Willink, R.
core  

On a generalisation of Hermite polynomials

, 1971
In this paper, the author introduces a generalisation of the Hermite polynomials. Hypergeometric representations, a new generating relation and n n th order differential formulae for the generalised polynomials have also been derived ...
Maya Lahiri
core   +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

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

Some families of differential equations for multivariate hybrid special polynomials associated with Frobenius-Genocchi polynomials

This article introduces a new class of multivariate Hermite-Frobenius-Genocchi polynomials and explores various characterizations of these polynomials. We examine their properties, including recurrence relations and shift operators.
Ramírez, William, Hernández, Juan, Patil, Shivtej, Ahmad Wani, Shahid   +3 more
core   +1 more source

Introducing ∆h Hermite-based Appell polynomials via the monomiality principle: properties, forms, and generating relations

The article introduces a novel class of polynomials, HQ [∆h] m (q1 , q2, q3, q4 , q5; h), termed ∆h Hermite-based Appell polynomials, utilizing the monomiality principle. These polynomials exhibit close connections with ∆h Hermite-based Bernoulli, Euler,
Nisarc, Junaid, Ramirez, William, Warke, Arundhati, Gani Dar, Javid, Ahmad Rather, Zahoor   +4 more
core   +1 more source

Fourier and microlocal methods for quantum Rabi systems. [PDF]

Ann Univ Ferrara Sez 7 Sci Mat
Malagutti M, Parmeggiani A.
europepmc   +1 more source

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