Results 31 to 40 of about 148,379 (206)
Inequalities for Laguerre functions
Journal of Inequalities and Applications, 1997 The main published inequality for Laguerre functions Lvμ(z) seems to be for Laguerre polynomials Ln0(x) only; it is [2: 10.18(3)]: |Ln(x)|≤ex/2  for  x>0.This paper presents several inequalities for Laguerre polynomials Lnμ(x) and ...
E. R. Love
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Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations [PDF]
, 2013 We investigate semi-classical generalizations of the Charlier and Meixner polynomials, which are discrete orthogonal polynomials that satisfy three-term recurrence relations.
Clarkson, Peter
core +1 more source
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.
A. Gil (Amparo) +2 more
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MathematicsThis paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative
Waseem Ahmad Khan +4 more
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Journal of King Saud University: Engineering Sciences, 2000 Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of
M.A. Soliman
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Fractional Generalizations of Rodrigues-Type Formulas for Laguerre Functions in Function Spaces
Mathematics, 2021 Generalized Laguerre polynomials, Ln(α), verify the well-known Rodrigues’ formula. Using Weyl and Riemann–Liouville fractional calculi, we present several fractional generalizations of Rodrigues’ formula for generalized Laguerre functions and polynomials.
Pedro J. Miana, Natalia Romero
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Some Identities on Laguerre Polynomials in Connection with Bernoulli and Euler Numbers
Discrete Dynamics in Nature and Society, 2012 We study some interesting identities and properties of Laguerre polynomials in connection with Bernoulli and Euler numbers. These identities are derived from the orthogonality of Laguerre polynomials with respect to inner product ∫⟨𝑓,𝑔⟩=∞0𝑒−𝑥2𝑓(𝑥)𝑔(𝑥)𝑑𝑥.
Dae San Kim +2 more
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A direct Approximation Method to solve OCP Using Laguerre Functions [PDF]
Kirkuk Journal of Science, 2006 This paper presents an approximate method to solve unconstrained optimal control problem (OCP).This method is classified as a direct method in which an OCP is converted into a mathematical programming problem.The proposed direct method is employed by ...
Omar M. Al-Faour and Suha N. Al-Rawi +1 more
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Matrix Valued Laguerre Polynomials [PDF]
, 2019 20 pages, to appear in Positivity and Noncommutative Analysis Festschrift in Honour of Ben de Pagter (eds. G. Buskes, M. de Jeu, P. Dodds, A. Schep, F. Sukochev, J. van Neerven and A. Wickstead)
Koelink, H.T., Roman, P.M.
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Beating the Standard Quantum Limit With Single‐Photon‐Added Coherent States
Advanced Physics Research, EarlyView.The standard quantum limit (SQL) defines how quantum fluctuations of light constrain measurement precision. Here, we show that injecting a single‐photon‐added coherent state and a weak coherent state in the input ports of a Mach–Zehnder interferometer reduces phase uncertainty below the SQL.
Pankaj K. Jha +4 more
wiley +1 more source