Approximation of the Hilbert transform on (0,+∞) by using discrete de la Vallée Poussin filtered polynomials.

Authors: OCCORSIO, DONATELLA¹ donatella.occorsio@unibas.it

Source: Constructive Mathematical Analysis. 2024 Special Issue, Vol. 7, p114-128. 15p.

Subject Terms: *HILBERT transform, *LAGUERRE polynomials, *APPROXIMATION theory, *POLYNOMIAL approximation, *DISCRETE mathematics, *UNIFORM spaces, *POLYNOMIALS, *LAGRANGE equations

Analytical and Numerical Approaches via Quadratic Integral Equations.

Authors: Alahmadi, Jihan¹ (AUTHOR) j.alahmadi@psau.edu.sa, Abdou, Mohamed A.² (AUTHOR) abdella_777@alexu.edu.eg, Abdel-Aty, Mohamed A.³ (AUTHOR) mohammed.abdallah@fsc.bu.edu.eg

Source: Axioms (2075-1680). Sep2024, Vol. 13 Issue 9, p621. 20p.

Subject Terms: *LAGUERRE polynomials, *INTEGRAL equations, *COLLOCATION methods, *HERMITE polynomials, *POLYNOMIALS

Exploring Properties and Applications of Laguerre Special Polynomials Involving the Δ h Form.

Authors: Alam, Noor¹ (AUTHOR), Wani, Shahid Ahmad² (AUTHOR) shahidwani177@gmail.com, Khan, Waseem Ahmad³ (AUTHOR), Gassem, Fakhredine¹ (AUTHOR), Altaleb, Anas⁴ (AUTHOR)

Source: Symmetry (20738994). Sep2024, Vol. 16 Issue 9, p1154. 16p.

Subject Terms: *LAGUERRE polynomials, *MATHEMATICAL domains, *QUANTUM entropy, *QUANTUM mechanics, *POLYNOMIALS

Solution of Fractional Kinetic Equations Involving Laguerre Polynomials via Sumudu Transform.

Authors: Ahmed, Wagdi F. S.¹ (AUTHOR) wagdialakel@gmail.com, Pawar, D. D.² (AUTHOR), Patil, W. D.³ (AUTHOR), Abdo, Mohammed S. (AUTHOR) msabdo1977@gmail.com

Source: Journal of Function Spaces. 7/2/2024, Vol. 2024, p1-10. 10p.

Subject Terms: *LAGUERRE polynomials, *EQUATIONS

Some Identities on λ-Analogues of Lah Numbers and Lah-Bell Polynomials.

Authors: Dae San Kim¹ dskim@sogang.ac.k, Taekyun Kim² tkkim@kw.ac.kr, Hyekyung Kim³ hkkim@cu.ac.kr, Jongkyum Kwon⁴ mathkjk26@gnu.ac.kr

Source: European Journal of Pure & Applied Mathematics. Jul2024, Vol. 17 Issue 3, p1385-1402. 18p.

Subject Terms: *LAGUERRE polynomials, *GENERATING functions, *RANDOM variables, *SOCIAL problems, *POLYNOMIALS

Structure-preserving model reduction based on multiorder Arnoldi for discrete-time second-order systems.

Authors: Wang, Zhao-Hong¹ (AUTHOR) zhwang@xju.edu.cn, Miao, Zhen² (AUTHOR), Jiang, Yao-Lin^1,3 (AUTHOR)

Source: International Journal of Systems Science. Jan2025, Vol. 56 Issue 1, p73-87. 15p.

Subject Terms: Discrete-time systems, Laguerre polynomials, Discrete systems, Orthographic projection, Matrices (Mathematics)

An Efficient Solution of Multiplicative Differential Equations through Laguerre Polynomials.

Authors: Kosunalp, Hatice Yalman¹ (AUTHOR) hkosunalp@bandirma.edu.tr, Bas, Selcuk² (AUTHOR) sbas@bandirma.edu.tr, Kosunalp, Selahattin³ (AUTHOR) skosunalp@bandirma.edu.tr

Source: Symmetry (20738994). Jun2024, Vol. 16 Issue 6, p748. 13p.

Subject Terms: *LAGUERRE polynomials, *DIFFERENTIAL equations, *POWER series, *ORTHOGONAL polynomials, *JACOBI polynomials

An efficient optimization algorithm for nonlinear 2D fractional optimal control problems.

Authors: Moradikashkooli, A.¹, Haj Seyyed Javadi, H.², h.s.javadi@shahed.ac.ir, Jabbehdari, S.¹

Source: Journal of Supercomputing; Apr2024, Vol. 80 Issue 6, p7906-7930, 25p

Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials.

Authors: Clarkson, Peter A.¹ (AUTHOR) P.A.Clarkson@kent.ac.uk, Dunning, Clare¹ (AUTHOR)

Source: Studies in Applied Mathematics. Jan2024, Vol. 152 Issue 1, p453-507. 55p.

Subject Terms: Laguerre polynomials, Differential-difference equations, Painlevé equations, Difference equations

Parametric Interpolation Model Order Reduction on Grassmann Manifolds by Parallelization

Authors: Xu, K., Li, Z., Benner, P.

Source: IEEE Transactions on Circuits and Systems II: Express Briefs IEEE Trans. Circuits Syst. II Circuits and Systems II: Express Briefs, IEEE Transactions on. 72(1):198-202 Jan, 2025

Model order reduction based on Laguerre orthogonal polynomials for parabolic equation constrained optimal control problems.

Authors: Miao, Zhen¹ (AUTHOR), Wang, Li² (AUTHOR) wangli_1020@126.com, Cheng, Gao-yuan¹ (AUTHOR), Jiang, Yao-lin³ (AUTHOR)

Source: International Journal of Computer Mathematics. Mar2024, Vol. 101 Issue 3, p237-254. 18p.

Subject Terms: *LAGUERRE polynomials, *PONTRYAGIN'S minimum principle, *INITIAL value problems, *COST functions, *ORDINARY differential equations, *ORTHOGONAL polynomials

An alternative approach to normalizing the Coulomb Rnℓ(r) radial solutions.

Authors: Reed, B. Cameron¹ (AUTHOR) reed@alma.edu, Bason, Gregory L.² (AUTHOR)

Source: Journal of Mathematical Chemistry. Mar2024, Vol. 62 Issue 3, p681-688. 8p.

Subject Terms: *SPECIAL functions, *LAGUERRE polynomials, *HARMONIC oscillators, *SCHRODINGER equation, *COULOMB potential, *QUANTUM mechanics

The use of modern technology in the analysis and compression of color images.

Authors: Yassien, Helaa Mohammed¹ Helaa.m.yassin@uotechnology.edu.iq, Mustafa, Maha Ammar¹ 100384@uotechnology.edu.iq

Source: International Journal of Mathematics & Computer Science. 2024, Vol. 19 Issue 1, p81-87. 7p.

Subject Terms: *IMAGE color analysis, *LAGUERRE polynomials, *TECHNOLOGY transfer, *KNOWLEDGE transfer

On the Approximative Properties of Fourier Series in Laguerre–Sobolev Polynomials.

Authors: Gadzhimirzaev, R. M.¹ (AUTHOR) ramis3004@gmail.com

Source: Siberian Mathematical Journal. Jan2024, Vol. 65 Issue 1, p30-43. 14p.

Subject Terms: *FOURIER series, *LAGUERRE polynomials, *PARTIAL sums (Series), *ORTHOGONAL polynomials, *ORTHOGONAL systems, *SOBOLEV spaces, *POLYNOMIALS

Explicit estimates for the sum \sum_{k=0}^{n} k! {n\choose k}^2 (-1)^{k}.

Authors: Ernvall-Hytönen, Anne-Maria¹ (AUTHOR), Matala-aho, Tapani² (AUTHOR)

Source: Proceedings of the American Mathematical Society. Feb2025, Vol. 153 Issue 2, p679-692. 14p.

Subject Terms: *LAGUERRE polynomials, *POLYNOMIALS, *FACTORIALS

Fourier transform of biorthogonal polynomials in one variable.

Authors: Güldoğan Lekesiz, Esra¹ (AUTHOR) esragldgn@gmail.com, Çekim, Bayram¹ (AUTHOR)

Source: Integral Transforms & Special Functions. Feb2025, Vol. 36 Issue 2, p145-162. 18p.

Subject Terms: *LAGUERRE polynomials, *JACOBI polynomials, *FOURIER transforms, *BIORTHOGONAL systems, *POLYNOMIALS

Asymptotic Expansion of Solutions of the 2nd Order Difference Equations in an Unbounded Domain.

Authors: Rumyantseva, Sofia V.¹ (AUTHOR) srumyanceva@hse.ru

Source: Acta Applicandae Mathematicae. 1/15/2025, Vol. 195 Issue 1, p1-16. 16p.

Subject Terms: *LAGUERRE polynomials, *WKB approximation, *EXISTENCE theorems, *MATHEMATICS, *EQUATIONS

Quantum (or q‐) operator equations and associated partial differential equations for bivariate Laguerre polynomials with applications to the q‐Hille‐Hardy type formulas.

Authors: Cao, Jian¹ (AUTHOR), Srivastava, H. M.^2,3,4,5,6,7 (AUTHOR) harimsri@math.uvic.ca, Zhang, Yue¹ (AUTHOR)

Source: Mathematical Methods in the Applied Sciences. 1/15/2025, Vol. 48 Issue 1, p308-328. 21p.

Subject Terms: *LAGUERRE polynomials, *PARTIAL differential equations, *OPERATOR equations, *DIFFERENTIAL equations, *GENERATING functions

De la Vallée Poussin filtered polynomial approximation on the half–line.

Authors: Occorsio, Donatella^1,2 (AUTHOR) donatella.occorsio@unibas.it, Themistoclakis, Woula² (AUTHOR) woula.themistoclakis@cnr.it

Source: Applied Numerical Mathematics. Jan2025, Vol. 207, p569-584. 16p.

Subject Terms: *POLYNOMIAL approximation, *LAGUERRE polynomials, *CONTINUOUS functions, *EXPONENTS, *INTERPOLATION

Generalized form of 2D-Laguerre polynomials.

Authors: Shahwan, Mohannad J. S.¹ (AUTHOR), Bin-Saad, Maged G.² (AUTHOR) mgbinsaad@yahoo.com

Source: Integral Transforms & Special Functions. Jan2025, Vol. 36 Issue 1, p64-89. 26p.

Subject Terms: *LAGUERRE polynomials, *GENERATING functions, *INTEGRAL representations, *POLYNOMIALS