Results 1 to 10 of about 700 (183)
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-Type Appell and Hypergeometric Polynomials
Mathematics, 2022 The Laguerre derivative and its iterations have been used to define new sets of special functions, showing the possibility of generating a kind of parallel universe for mathematical entities of this kind.
Rekha Srivastava +2 more
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Laguerre polynomials as Jensen polynomials of Laguerre–Pólya entire functions
Journal of Computational and Applied Mathematics, 2009 The question if there exist entire special functions whose Jensen polynomials are orthogonal is investigated. Let \(\varphi(x)\) be an entire function from the Laguerre-Pólya class \(\varphi\in\mathcal L\mathcal P\) [see \textit{G. Pólya}, Über die algebraisch-funktionentheoretischen Untersuchungen von J. L. W. Jensen.
Dimitar K Dimitrov, Youssef Ben Cheikh
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Specializations of Generalized Laguerre Polynomials [PDF]
SIAM Journal on Mathematical Analysis, 1994 Three specializations of a set of orthogonal polynomials with ``8 different q's'' are given. The polynomials are identified as $q$-analogues of Laguerre polynomials, and the combinatorial interpretation of the moments give infinitely many new Mahonian statistics on permutations.
D Stanton
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Efficient computation of Laguerre polynomials [PDF]
Computer Physics Communications, 2017 An efficient algorithm and a Fortran 90 module (LaguerrePol) for computing Laguerre polynomials $L^{(α)}_n(z)$ are presented. The standard three-term recurrence relation satisfied by the polynomials and different types of asymptotic expansions valid for $n$ large and $α$ small, are used depending on the parameter region.
Segura Javier, Amparo Gil, Nico Temme
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Laguerre derivative and monogenic Laguerre polynomials: An operational approach
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Isabel Cação +2 more
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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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Construction of partially degenerate Laguerre–Bernoulli polynomials of the first kind
Applied Mathematics in Science and Engineering, 2022 In this paper, we introduce partially degenerate Laguerre–Bernoulli polynomials of the first kind and deduce some relevant properties by using a preliminary study of these polynomials.
Waseem A. Khan +2 more
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Products of Laguerre Polynomials [PDF]
Mathematics of Computation, 1960 and, in particular, is symmetric in r, s, t. A closed formula has been obtained for Cry by Watson [41. We begin by obtaining the same formula by a very simple argument. In ? wce (lerive a simple recurrence relation suitable for rapidly generating the coefficients as needed when working with a high speed computing machine.
Gillis, J., Weiss, G.
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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.
Bonneux, Niels, Kuijlaars, Arno
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