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Laguerre polynomials and the Laplace transform

Duke Mathematical Journal, 1940
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Laguerre polynomials by a harmonic oscillator

European Journal of Physics, 2014
The study of an isotropic harmonic oscillator, using the factorization method given in Ohanianʼs textbook on quantum mechanics, is refined and some collateral extensions of the method related to the ladder operators and the associated Laguerre polynomials are presented.
Baykal, Melek, Baykal, Ahmet
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A Generalization of Laguerre Polynomials

SIAM Journal on Mathematical Analysis, 1993
The authors study orthogonal polynomials on $[0, + \infty )$ with respect to an inner product involving derivatives that cannot be derived from a weight function. These polynomials can be written as a ${}_3 F_3 $ hypergeometric series and they satisfy a second-order differential equation and a five term recurrence relation.
Roelof Koekoek, H. G. Meijer
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Laguerre polynomials and derangements

Mathematical Proceedings of the Cambridge Philosophical Society, 1976
Consider a sequence of n = n1 + … + nk objects of k distinct types such that there are ni objects of type i, i = 1, …, k. A derangement of this sequence is a permutation such that no object is in a position which was occupied by an object of the same type.
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Laguerre-type BVP and generalized Laguerre polynomials

Integral Transforms and Special Functions, 2006
The Laguerre-type BVP is the counterpart of the canonical BVP of parabolic, hyperbolic and elliptic types in the half-plane obtained by substituting the derivative operator D x with the Laguerre derivative D L : = D x x D x , (or its generalizations).
MAROSCIA G, RICCI, Paolo Emilio
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Derangements and Laguerre polynomials

Mathematical Proceedings of the Cambridge Philosophical Society, 1976
AbstractGiven a set consisting of n1, objects of type 1, n2 of type 2, …, nk of type k, we denote by the number of possible derangements of the set i.e. permutations in which no object occupies a site originally occupied by an object of the same type. A formula is found for in terms of Laguerre polynomials, and some of its implications are considered.
S. Even, J. Gillis
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A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties

AIMS Mathematics, 2021
Waseem Ahmad Khan, Abdulghani Muhyi, Rifaqat Ali   +2 more
exaly