Results 11 to 20 of about 18,676 (205)
Exceptional Laguerre polynomials [PDF]
Studies in Applied Mathematics, 2018 The 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.
Bonneux, Niels, Kuijlaars, Arno B. J.
core +2 more sources
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
doaj +4 more sources
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
exaly +4 more sources
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.
Paolo Emilio Ricci, Rekha Srivastava
exaly +3 more sources
Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials
Applied Mathematics, 2015 The bilinear generating function for products of two Laguerre 2D polynomials Lm;n(z; z0) with different arguments is calculated. It corresponds to the formula of Mehler for the generating function of products of two Hermite polynomials.
Alfred Wünsche
exaly +3 more sources
Efficient computation of Laguerre polynomials [PDF]
Computer Physics Communications, 2017 To appear in Computer Physics ...
Amparo Gil +2 more
exaly +6 more sources
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.
Simion, R., Stanton, D.
exaly +4 more sources
Laguerre derivative and monogenic Laguerre polynomials: An operational approach
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
I Cação +2 more
exaly +5 more sources
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
doaj +1 more source
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
doaj +1 more source