Results 31 to 40 of about 490,089 (251)
Coefficients of Wronskian Hermite polynomials [PDF]
Studies in applied mathematics (Cambridge), 2019 We study Wronskians of Hermite polynomials labeled by partitions and use the combinatorial concepts of cores and quotients to derive explicit expressions for their coefficients.
Niels Bonneux, C. Dunning, Marco Stevens
semanticscholar +1 more source
Series Prediction based on Algebraic Approximants [PDF]
, 2011 It is described how the Hermite-Pad\'e polynomials corresponding to an algebraic approximant for a power series may be used to predict coefficients of the power series that have not been used to compute the Hermite-Pad\'e polynomials.
Homeier, Herbert H. H.
core +4 more sources
Roots of generalised Hermite polynomials when both parameters are large [PDF]
Nonlinearity, 2019 We study the roots of the generalised Hermite polynomials H m,n when both m and n are large. We prove that the roots, when appropriately rescaled, densely fill a bounded quadrilateral region, called the elliptic region, and organise themselves on a ...
D. Masoero, Pieter Roffelsen
semanticscholar +1 more source
A $q$-deformation of true-polyanalytic Bargmann transforms when $q^{-1}>1$
Comptes Rendus. Mathématique, 2022 We combine continuous $q^{-1}$-Hermite Askey polynomials with new $2D$ orthogonal polynomials introduced by Ismail and Zhang as $q$-analogs for complex Hermite polynomials to construct a new set of coherent states depending on a nonnegative integer ...
El Moize, Othmane, Mouayn, Zouhaïr
doaj +1 more source
Vortices and Polynomials [PDF]
, 2009 The relationship between point vortex dynamics and the properties of polynomials with roots at the vortex positions is discussed. Classical polynomials, such as the Hermite polynomials, have roots that describe the equilibria of identical vortices on the
Ablowitz +53 more
core +3 more sources
RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS
Проблемы анализа, 2020 We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
doaj +1 more source
Journal of Open Source Software, 2019 In The Walrus, we provide a highly optimized implementation of the best known algorithms for hafnians, loop hafnians, multidimensional Hermite ...
Brajesh Gupt, J. Izaac, N. Quesada
semanticscholar +1 more source
Some Integrals Involving q-Laguerre Polynomials and Applications
Abstract and Applied Analysis, 2013 The integrals involving multivariate q-Laguerre polynomials and then auxiliary ones are studied. In addition, the representations of q-Hermite polynomials by q-Laguerre polynomials and their related integrals are given.
Jian Cao
doaj +1 more source
Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials
Mathematics, 2018 The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition.
Subuhi Khan, Tabinda Nahid
doaj +1 more source
Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials
Mathematics, 2023 The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials.
Shahid Ahmad Wani +3 more
doaj +1 more source