Polynomial Sequences and Their Applications
Materialtyp:
ArtikelUtgivningsinformation: MDPI - Multidisciplinary Digital Publishing Institute 2024Beskrivning: 1 electronic resource (326 p.)Innehållstyp: - text
- computer
- online resource
- 9783725801916
- 9783725801923
- Mathematics and Science
- Chemistry
- Inorganic chemistry
- AI
- Appell polynomials
- Chebyshev interpolation operator
- Chebyshev polynomials
- Clenshaw–Curtis quadrature
- Fubini polynomials
- Gandy's fixed point theorem
- Hessenberg determinant
- Jacobi polynomials
- Koopman operator
- Legendre–Chebyshev spectral method
- Meixner
- Padé approximation
- Polynomial sequences
- Riccati differential equation
- Stirling numbers
- Turing machine
- abstract algebra
- bivariate Appell sequence
- bivariate generating function
- blending-type operators
- block cyclic reduction
- block tridiagonal matrix
- blockchain
- central factorial polynomials
- characteristic polynomial
- collocation
- complex analysis
- composita
- composition of generation functions
- computer graphics
- computer science
- connection formulas
- continued fractions
- convergence
- difference equations
- differential equations
- discrete operators
- dynamic systems
- explicit formula
- extended dynamic mode decomposition
- extrapolation methods
- formal power series
- fractional differential equations
- generalized hypergeometric functions
- generating functions
- linear system
- lineariz
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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.
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eng
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