Polynomial Sequences and Their Applications

The present reprint contains the articles accepted and published in the Special Issue “Polynomial Sequences and Their Applications” of the MDPI journal Mathematics. This reprint aims to present, albeit partially, the state of the art on the theory and application of polynomial sequences. Polynomials...

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Format:	Online
Idioma:	anglès
Publicat:	MDPI - Multidisciplinary Digital Publishing Institute 2024
Matèries:	polyexponential function Fubini polynomials poly-Fubini polynomials unipoly function Stirling numbers formal power series composition of generation functions bivariate generating function composita explicit formula orthogonal polynomials Meixner perturbed Meixner–Pollaczek moments recurrence coefficients difference equations differential equations zeros Polynomial sequences Appell polynomials bivariate Appell sequence extrapolation methods Padé approximation continued fractions rational interpolation complex analysis software abstract algebra Jacobi polynomials generalized hypergeometric functions Chebyshev polynomials linearization coefficients connection formulas moments formulas symbolic computation Riccati differential equation tau method polynomial computability p-computability Gandy’s fixed point theorem semantic programming polynomial operators Δ0p computer science block cyclic reduction block tridiagonal matrix characteristic polynomial linear system Chebyshev interpolation operator the Legendre norm Legendre–Chebyshev spectral method Clenshaw–Curtis quadrature multidomain multi-dimensions polynomiality polynomial function polynomial algorithm Turing machine logical programming language smart contract blockchain AI ordinary differential equations fractional differential equations multistep methods collocation convergence stability polynomial sequences central factorial polynomials odd and even polynomials discrete operators Hessenberg determinant recurrence weighted ℬ-statistical convergence shape parameter α shape parameter λ blending-type operators computer graphics extended dynamic mode decomposition Koopman operator mathematical modeling dynamic systems sheffer sequence recurrence relation generating functions umbral calculus n/a thema EDItEUR::P Mathematics and Science::PN Chemistry::PNK Inorganic chemistry
Accés en línia:	ONIX_20240514_9783725801916_266
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Sumari:	The present reprint contains the articles accepted and published in the Special Issue “Polynomial Sequences and Their Applications” of the MDPI journal Mathematics. This reprint aims to present, albeit partially, the state of the art on the theory and application of polynomial sequences. Polynomials are incredibly useful mathematical tools, as they are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. Sequences of polynomials perform an important role in several branches of science, including mathematics, physics, and engineering. This volume contains both theoretical works and practical applications in the field of polynomial sequences and their applications.

Polynomial Sequences and Their Applications

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