Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi‐classical Laguerre polynomials and their Hankel determinants
Sign Up to like & getrecommendations! Published in 2022 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.9377
Abstract: This paper studies the monic semi-classical Laguerre polynomials based on previous work by Boelen and Van Assche \cite{Boelen}, Filipuk et al. \cite{Filipuk} and Clarkson and Jordaan \cite{Clarkson}. Filipuk, Van Assche and Zhang proved that the… read more here.
Keywords: laguerre polynomials; coefficient; recurrence; semi classical ... See more keywords
On certain series involving Laguerre polynomials
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.01.007
Abstract: Abstract In this paper, we find closed-form sums for the series ∑ n = 1 ∞ ( α 2 ) n n 1 n ! 1 F 1 ( − n , γ , x… read more here.
Keywords: laguerre polynomials; series involving; certain series; series ... See more keywords
Recurrence relations for Wronskian Laguerre polynomials
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DOI: 10.1080/10652469.2020.1730362
Abstract: Abstract The 3-term recurrence relation for Hermite polynomials was recently generalized to a recurrence relation for Wronskians of Hermite polynomials. In this note, a similar generalization for Laguerre polynomials is obtained. read more here.
Keywords: recurrence; laguerre polynomials; relations wronskian; recurrence relations ... See more keywords
Constrained model predictive control of a vehicle suspension using Laguerre polynomials
Sign Up to like & getrecommendations! Published in 2019 at "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science"
DOI: 10.1177/0954406219889078
Abstract: In this paper, a fast constrained model predictive control algorithm was designed for the active suspension of a half-car model to increase the controller bandwidth so that high frequency displacement disturbance coming from the road… read more here.
Keywords: model predictive; laguerre polynomials; constrained model; suspension ... See more keywords
Sums of finite products of Legendre and Laguerre polynomials
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DOI: 10.1186/s13662-018-1740-6
Abstract: In this paper, we study sums of finite products of Legendre and Laguerre polynomials and derive Fourier series expansions of functions associated with them. From these Fourier series expansions, we are going to express those… read more here.
Keywords: legendre laguerre; laguerre polynomials; finite products; sums finite ... See more keywords
Integral Estimates for Laguerre Polynomials with Exponential Weight Function
Sign Up to like & getrecommendations! Published in 2020 at "Russian Mathematics"
DOI: 10.3103/s1066369x20040027
Abstract: We study the system of functions λ 1+ n ( x ) generated by the system of Laguerre functions. We express functions λ 1+ n ( x ) in terms of Laguerre polynomials $$L_n^\alpha (x)$$… read more here.
Keywords: laguerre polynomials; polynomials exponential; exponential weight; integral estimates ... See more keywords
Applications Laguerre Polynomials for Families of Bi-Univalent Functions Defined with (p,q)-Wanas Operator
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DOI: 10.3390/axioms12050430
Abstract: In current manuscript, using Laguerre polynomials and (p−q)-Wanas operator, we identify upper bounds a2 and a3 which are first two Taylor-Maclaurin coefficients for a specific bi-univalent functions classes W∑(η,δ,λ,σ,θ,α,β,p,q;h) and K∑(ξ,ρ,σ,θ,α,β,p,q;h) which cover the convex… read more here.
Keywords: univalent functions; wanas operator; laguerre polynomials; applications laguerre ... See more keywords
Non-Linear Observer Design with Laguerre Polynomials
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DOI: 10.3390/e24070913
Abstract: In this paper, a methodology for a non-linear system state estimation is demonstrated, exploiting the input and parameter observability. For this purpose, the initial system is transformed into the canonical observability form, and the function… read more here.
Keywords: system; state; linear observer; laguerre polynomials ... See more keywords
Mapping Properties of Associate Laguerre Polynomials in Leminiscate, Exponential and Nephroid Domain
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DOI: 10.3390/sym14112303
Abstract: The function PL(z)=1+z maps the unit disc D={z∈C:|z| read more here.
Keywords: associate laguerre; laguerre polynomials; mapping properties; domain ... See more keywords
Applications of Laguerre Polynomials for Bazilevič and θ-Pseudo-Starlike Bi-Univalent Functions Associated with Sakaguchi-Type Functions
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DOI: 10.3390/sym15020406
Abstract: The aim of the present article is to introduce and investigate a new family LΣ(δ,η,θ,t;h) of normalized holomorphic and bi-univalent functions that involve the Sakaguchi-type Bazilevič functions and Sakaguchi-type θ-pseudo-starlike functions associated with Laguerre polynomials.… read more here.
Keywords: univalent functions; sakaguchi type; functions associated; pseudo starlike ... See more keywords