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Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications
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Orthogonal polynomials and special functions are two well-established streams of research in mathematical sciences. As is well known, they are considered classical and have seen many very interesting developments throughout the centuries, extending to original approaches and in-depth studies of the theoretical and/or applied problems considered. Since orthogonal polynomials and special functions are often used in applications, they have found use in various branches of mathematics (e.g., combinatorics, numerical analysis, representation theory, and number theory) and engineering, physics and astronomy, integrable systems, optics, quantum chemistry, computer science, etc. As such, the number of theoretical and applied problems solved using orthogonal polynomials and special functions is constantly growing. The aim of this Special Issue is to present recent trends and applications linked to orthogonal polynomials and special functions, mainly those pertaining to engineering mathematics and related topics.
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Keywords
- Apostol-type Frobenius–Euler polynomials
- Apostol-type Frobenius–Euler–Fibonacci polynomials
- Apostol-type polynomials
- asymptotic behavior
- Bessel Functions
- cauchy exponential of linear functional
- cauchy power of linear functional
- Coulomb fluid
- degenerate Apostol-type polynomials
- determinant form
- difference equations
- Dini functions
- discretization
- Du-Laguerre–Hahn operator
- electrostatic model
- explicit form
- explicit forms
- exponential cubic weight
- frame
- functional inequalities
- Gegenbauer polynomials
- generalized Bernoulli polynomials
- generalized degenerate Bernoulli matrix
- generalized degenerate Bernoulli polynomials
- generalized degenerate Euler matrix
- generalized degenerate Euler polynomials
- generalized degenerate Pascal matrix
- Golden Calculus
- Hermite polynomials
- hypergeometric Bernoulli polynomials
- integral inequalities
- Jacobi polynomials
- ladder operators
- Laguerre weight
- Legendre–Appell polynomials
- Lommel functions
- monomiality principle
- multivariate special polynomials
- operational connection
- orthogonal polynomial sequence
- Orthogonal polynomials
- positive-definite linear functional
- q-Bessel functions
- rational modifications
- Redheffer inequality
- regular linear functional
- second-order differential equation
- Sobolev orthogonality
- Stirling–Fibonacci numbers
- stockwell transform
- strictly monotone functions
- Struve functions
- summation formulae
- symmetric identities
- thema EDItEUR::U Computing and Information Technology
- thema EDItEUR::U Computing and Information Technology::UY Computer science
- two-dimensional fourier transform
- weakly-regular linear functional
- zeros location
- Δh sequences
Links
DOI: 10.3390/books978-3-7258-1854-9Editions