Results 1 to 10 of about 2,224 (227)

Laguerre-type Bell polynomials [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical tool. The Laguerre-type Bell polynomials are useful in order to compute the nth Laguerre-type derivatives of a composite ...
P. Natalini, P. E. Ricci
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A note on the Laguerre polynomials. [PDF]

Michigan Mathematical Journal, 1960
L. Carlitz
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Hermite and Laguerre 2D polynomials

Journal of Computational and Applied Mathematics, 2001
AbstractWe define Hermite 2D polynomials Hm,n(U;x,y) and Laguerre 2D polynomials Lm,n(U;z,z̄) as functions of two variables with an arbitrary 2D matrix U as parameter and discuss their properties and their explicit representation. Recursion relations and generating functions for these polynomials are derived. The advantage of the introduced Hermite and
Alfred Wünsche
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The relativistic Laguerre polynomials [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1996
A new relativistic-type polynomial system is defined by means of the Relativistic Hermite Polynomial system, introduced recently by V.Aldaya et al. to express the wave functions of the quantum relativistic harmonic oscillator.
P. NATALINI
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Bounds for zeros of the Laguerre polynomials

Journal of Approximation Theory, 2003
AbstractWe establish new inequalities on the extreme zeros of the Laguerre polynomials which are uniform in all the parameters involved.
Ilia Krasikov
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The centralizer of the Laguerre polynomial set [PDF]

Rocky Mountain Journal of Mathematics, 1979
Nadhla A. Al-Salam, W. A. Al‐Salam
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Asymptotic Forms for Laguerre Polynomials [PDF]

Proceedings of the American Mathematical Society, 1970
Benjamin Muckenhoupt
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Integrals of Products of Laguerre Polynomials [PDF]

Mathematics of Computation, 1960
R. D. Lord
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New extensions of associated Laguerre polynomials [PDF]

E-Journal of Analysis and Applied Mathematics, 2020
The main object of this paper is to present new extensions of associated Laguerre polynomials. Some integral representations, recurrence relations, generating functions and summation formulae are obtained for these new extended Laguerre polynomials.
Ahmed Ali Al-Gonah
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Exceptional Laguerre Polynomials [PDF]

Studies in Applied Mathematics, 2018
AbstractThe aim of this paper is to present the construction of exceptional Laguerre polynomials in a systematic way and to provide new asymptotic results on the location of the zeros. To describe the exceptional Laguerre polynomials, we associate them with two partitions.
Niels Bonneux, Arno B.J. Kuijlaars
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