Results 41 to 50 of about 32,202 (209)
AIMS Mathematics, 2023 The 2-variable modified partially degenerate Hermite (MPDH) polynomials are the subject of our study in this paper. We found basic properties of these polynomials and obtained several types of differential equations related to MPDH polynomials.
Gyung Won Hwang +2 more
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Deformed Complex Hermite Polynomials [PDF]
, 2014 We study a class of bivariate deformed Hermite polynomials and some of their properties using classical analytic techniques and the Wigner map. We also prove the positivity of certain determinants formed by the deformed polynomials. Along the way we also
Ali, S. Twareque +2 more
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Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type [PDF]
, 2011 We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type.
Desrosiers, Patrick, Hallnäs, Martin
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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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Hermite polynomials and Fibonacci oscillators [PDF]
Journal of Mathematical Physics, 2019 We compute the (q1, q2)-deformed Hermite polynomials by replacing the quantum harmonic oscillator problem to Fibonacci oscillators. We do this by applying the (q1, q2)-extension of Jackson derivative. The deformed energy spectrum is also found in terms of these parameters. We conclude that the deformation is more effective in higher excited states.
Andre A. Marinho, Francisco A. Brito
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Bivariate Poly-analytic Hermite Polynomials [PDF]
Results in Mathematics, 2020 A new class of bivariate poly-analytic Hermite polynomials is considered. We show that they are realizable as the Fourier-Wigner transform of the univariate complex Hermite functions and form a nontrivial orthogonal basis of the classical Hilbert space on the two-complex space with respect to the Gaussian measure.
Allal Ghanmi, Khalil Lamsaf
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article addresses the problem of quantifying the uncertainty in planning aircraft ground movement operations using towbarless robotic tractors taking into account the inherent uncertainties of the problem, specifically, the uncertainties in the weight of the aircraft and in the rolling resistance of the wheels of the main landing gear ...
Almudena Buelta +2 more
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AIMS MathematicsThis paper investigated the fundamental characteristics and uses of a new class of bivariate quantum-Hermite-Appell polynomials. The series representation and generating relation for these polynomials were derived.
Mohra Zayed +4 more
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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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A model for the continuous q-ultraspherical polynomials
, 1995 We provide an algebraic interpretation for two classes of continuous $q$-polynomials. Rogers' continuous $q$-Hermite polynomials and continuous $q$-ultraspherical polynomials are shown to realize, respectively, bases for representation spaces of the $q ...
Askey R. A. +4 more
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