Results 21 to 30 of about 1,282 (191)

Hermite and Hermite–Fejér interpolation for Stieltjes polynomials [PDF]

Mathematics of Computation, 2005
Let w λ
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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
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Bounding hermite matrix polynomials

Mathematical and Computer Modelling, 2004
The main object under investigation is the family of the Hermite matrix orthogonal polynomials \(\{H_n(x,A)\}_{n\geq 0}\), which depends on the matrix parameter \(A\) having all its eigenvalues in the open right half plane. The main result (Theorem 1) states that \[ \| H_{2n}(x,A)\| \leq \frac{(2n+1)!
Emilio Defez, Antonio Hervás, Lucas Jódar, Alan G. Law   +3 more
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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, Georgia Irina Oros, Ali M. Mahnashi, Waleed Hamali   +3 more
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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
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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
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Hermite Polynomials

Journal of Combinatorial Theory, Series A, 2000
In this paper it is proved, that a so-called Hermite transform which transforms \(x^n\), \(n\in\mathbb{N}_0\) into the \(n\)-th Hermite polynomial \(H_n(x)\) preserves the property of a polynomial having only real roots. (In the proof there is referred to a next paragraph, but it does not exist).
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Fourier transform of hn(x + p)hn(x − p)

International Journal of Mathematics and Mathematical Sciences, 1997
We evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.
Mourad E. H. Ismail, Krzystztof Stempak
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Context-Free Grammars for Several Triangular Arrays

Axioms, 2022
In this paper, we present a unified grammatical interpretation of the numbers that satisfy a kind of four-term recurrence relation, including the Bell triangle, the coefficients of modified Hermite polynomials, and the Bessel polynomials.
Roberta Rui Zhou, Jean Yeh, Fuquan Ren
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Some Identities Involving Hermite Kampé de Fériet Polynomials Arising from Differential Equations and Location of Their Zeros

Mathematics, 2018
In this paper, we study differential equations arising from the generating functions of Hermit Kamp e ´ de F e ´ riet polynomials. Use this differential equation to give explicit identities for Hermite Kamp e ´ de F
Cheon Seoung Ryoo
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