Results 11 to 20 of about 128,844 (218)
On Apostol-Type Hermite Degenerated Polynomials [PDF]
Mathematics, 2023 This article presents a generalization of new classes of degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials of level m.
Stiven Diaz +2 more
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Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
Mathematics, 2020 In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials.
Cheon-Seoung Ryoo, Kyung-Won Hwang
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On Hermite-Hermite matrix polynomials [PDF]
Mathematica Bohemica, 2008 Summary: The definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented.
Metwally, M. S. +2 more
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Some relations satisfied by Hermite-Hermite matrix polynomials [PDF]
Mathematica Bohemica, 2017 The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula.
Ayman Shehata, Lalit Mohan Upadhyaya
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Computation of Hermite polynomials [PDF]
Mathematics of Computation, 1973 Projection methods are commonly used to approximate solutions of ordinary and partial differential equations. A basis of the subspace under consideration is needed to apply the projection method. This paper discusses methods of obtaining a basis for piecewise polynomial Hermite subspaces. A simple recursive procedure is derived for generating piecewise
Eisenhart, Laurance C. +1 more
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Identities involving 3-variable Hermite polynomials arising from umbral method
Advances in Difference Equations, 2020 In this paper, we employ an umbral method to reformulate the 3-variable Hermite polynomials and introduce the 4-parameter 3-variable Hermite polynomials. We also obtain some new properties for these polynomials. Moreover, some special cases are discussed
Nusrat Raza, Serkan Araci, Ayhan Esi
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Zeros of exceptional Hermite polynomials [PDF]
Journal of Approximation Theory, 2015 We study the zeros of exceptional Hermite polynomials associated with an even partition $λ$. We prove several conjectures regarding the asymptotic behavior of both the regular (real) and the exceptional (complex) zeros. The real zeros are distributed as the zeros of usual Hermite polynomials and, after contracting by a factor $\sqrt{2n}$, we prove that
Robert Milson
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On integrals involving Hermite polynomials
Applied Mathematics Letters, 2012 4 ...
D Babusci, M Quattromini, G Dattoli
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Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials
Open MathematicsThis study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad +2 more
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MathematicsThe objective of this paper is to investigate Hermite-based Peters-type Simsek polynomials with generating functions. By using generating function methods, we determine some of the properties of these polynomials.
Eda Yuluklu
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