Results 21 to 30 of about 1,681 (245)
Characterization of classical type orthogonal polynomials [PDF]
Proceedings of the American Mathematical Society, 1994 We characterize the classical type orthogonal polynomials { P n
KWON, KH Kwon, Kil Hyun +3 more
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A NOTE FOR THE DUNKL-CLASSICAL POLYNOMIALS
Проблемы анализа, 2022 In this paper, we give a new characterization for the Dunkl-classical orthogonal polynomials. The previous characterization has been illustrated by some examples.
Y. Habbachi, B. Bouras
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A ‘missing’ family of classical orthogonal polynomials [PDF]
Journal of Physics A: Mathematical and Theoretical, 2011 We study a family of "classical" orthogonal polynomials which satisfy (apart from a 3-term recurrence relation) an eigenvalue problem with a differential operator of Dunkl-type. These polynomials can be obtained from the little $q$-Jacobi polynomials in the limit $q=-1$.
Vinet, Luc, Zhedanov, Alexei
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Determinant inequalities for sieved ultraspherical polynomials
International Journal of Mathematics and Mathematical Sciences, 2001 Paul Turan first observed that the Legendre polynomials satisfy the inequality Pn2(x)−Pn−1(x)Pn(x)>0 ...
J. Bustoz, I. S. Pyung
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Q-classical orthogonal polynomials: a very classical approach [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 1999 Dirección General de Enseñanza ...
Marcellán Español, Francisco +1 more
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New Formulas and Connections Involving Euler Polynomials
Axioms, 2022 The major goal of the current article is to create new formulas and connections between several well-known polynomials and the Euler polynomials. These formulas are developed using some of these polynomials’ well-known fundamental characteristics as well
Waleed Mohamed Abd-Elhameed +1 more
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CHARACTERIZATION OF POLYNOMIALS VIA A RAISING OPERATOR
Проблемы анализа, 2023 This paper investigates a first-order linear differential operator 𝒥𝜉, where 𝜉 = (𝜉1, 𝜉2)\in (C^2\(0,0), and 𝐷 := 𝑑/𝑑𝑥. The operator is defined as 𝒥𝜉 := 𝑥(𝑥𝐷+ I) + 𝜉1 I + 𝜉2𝐷, with I representing the identity on the space of polynomials with complex ...
Jihad Souissi
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HARMONIC OPERATOR AND CLASSICAL ORTHOGONAL POLYNOMIALS
Проблемы анализаIn this paper, we introduce the notion of h𝜉, 𝜇, 𝛼 – classical orthogonal polynomials, where h𝜉, 𝜇, 𝛼 is an operator generalizing the harmonic operator. More precisely, we show that the scaled Hermite polynomial sequence t ˜𝐻𝑛u𝑛>0, is actually the only ...
B. Aloui +3 more
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Ain Shams Engineering Journal, 2018 The theme of this paper is to analyze and compare the pulse compression with classical orthogonal polynomials (Chebyshev, Laguerre, Legendre and Hermite polynomials) of different orders.
Ankur Thakur, Salman Raju Talluri
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Advanced Materials Technologies, EarlyView.A direction‐aware piezo‐transmittance strain sensor is realized through the engineered alignment of carbon nanotubes. This anisotropic architecture instantaneously modulates optical transmittance, achieving ultra‐high sensitivity and exceptionally low hysteresis. By effectively eliminating signal crosstalk to precisely decouple multidirectional strains,
Byeongmin Kang +15 more
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