Results 101 to 110 of about 128,844 (218)
Theory of generalized hermite polynomials
Computers & Mathematics with Applications, 1994 The paper discusses multivariable forms of Hermite polynomials. The polynomials are introduced by generating functions. Orthogonality, series expansions in terms of the generalized polynomials and partial differential equations are discussed. For the two-dimensional case several graphs are given.
Dattoli, G. +4 more
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Statistics in Medicine, Volume 45, Issue 23-24, October 2026.ABSTRACT Huntington's disease (HD) is an autosomal dominant neurodegenerative disorder characterized by motor dysfunction, psychiatric disturbances, and cognitive decline. The onset of HD is marked by severe motor impairment, which may be predicted by prior cognitive decline and, in turn, exacerbate cognitive deficits. Clinical data, however, are often
Yue Zhan, Cheng Zheng, Ying Zhang
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Journal of Geophysical Research: Space Physics, Volume 131, Issue 10, October 2026.Abstract Ionospheric currents and their associated magnetic perturbations are difficult to predict due to the high variability of their driving mechanisms. In addition, the 3D structure of the currents is challenging to unravel due to the lack of direct observations within the current flow region, particularly in the E $E$‐layer.
P. Alken +6 more
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Exponential Operators and Hermite Type Polynomials [PDF]
, 2016 Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2016. Supervisor: Prof. Dr. Mehmet Ali Özarslan.This thesis consists of five Chapters.
Baran, Gizem
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On the properties and algebraic features of extended multivariate Hermite-based Appell polynomials
Demonstratio MathematicaThis paper introduces a new family of multivariate Hermite-based Appell polynomials with a one-parameter extension, defined through an appropriate generating function.
Zayed Mohra +4 more
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Identities associated with Milne–Thomson type polynomials and special numbers
Journal of Inequalities and Applications, 2018 The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers.
Yilmaz Simsek, Nenad Cakic
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ON THE MODIFIED HERMITE INTERPOLATION POLYNOMIALS
Demonstratio Mathematica, 1982 The author defines \(Q_ n(f,x)\) to be the polynomial of degree \(\leq 2n- 1\) associated with the function \(f(x)\in C^ 1[-1,1]\) satisfying the following interpolatory conditions: (i) \(Q_ n(x_{\nu n},f)=f_{\nu n}\), (ii) \(Q'\!_ n(x_{\nu n},f)=(f_{\nu n}-f_{\nu +1,n})/(x_{\nu n}-x_{\nu +1,n})=\chi_{\nu n}=f'(\xi_{\nu n}) x_{\nu n}
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Multiindex Multivariable Hermite Polynomials [PDF]
Mathematical and Computational Applications, 2002 In the present paper multiindex multivariable Hermite polynomials in terms of series and generating function are defined. Their basic properties, differential and pure recurrence relations, differential equations, generating function relations and expansions have been established. Few deductions are also obtained.
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A NOTE ON FIBONACCI-HERMITE POLYNOMIALS
We first review and analyze the Golden integral and its definitions and some properties. Then we introduce a new generalization of the Hermite polynomials via the Golden exponential function (called Fibonacci-Hermite polynomials) and investigate several ...
Acikgoz, Mehmet, Duran, Uğur
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Hermite Polynomials and Sylvester Type Determinants [PDF]
, 2011 In this paper, we first recall Hermite polynomials, a particular family of orthogonal polynomials. We then evaluate their recurrence relations in terms of Sylvester type determinants of certain tridiagnoal ...
Stange, Kelly C.
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