Reprint

Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications

Edited by
August 2024
220 pages
  • ISBN978-3-7258-1853-2 (Hardback)
  • ISBN978-3-7258-1854-9 (PDF)

This is a Reprint of the Special Issue Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications that was published in

Computer Science & Mathematics
Engineering
Physical Sciences
Public Health & Healthcare
Summary

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.

Format
  • Hardback
License and Copyright
© 2024 by the authors; CC BY-NC-ND license
Keywords
Redheffer inequality; Bessel functions; Struve functions; Dini functions; Lommel functions; q-Bessel functions; stockwell transform; two-dimensional fourier transform; discretization; frame; integral inequalities; strictly monotone functions; functional inequalities; cauchy power of linear functional; cauchy exponential of linear functional; weakly-regular linear functional; regular linear functional; positive-definite linear functional; orthogonal polynomial sequence; Du-Laguerre–Hahn operator; Hermite polynomials; Apostol-type polynomials; degenerate Apostol-type polynomials; orthogonal polynomials; Sobolev orthogonality; zeros location; asymptotic behavior; generalized degenerate Bernoulli polynomials; generalized degenerate Euler polynomials; generalized degenerate Bernoulli matrix; generalized degenerate Euler matrix; generalized degenerate Pascal matrix; Jacobi polynomials; Sobolev orthogonality; second-order differential equation; electrostatic model; multivariate special polynomials; monomiality principle; explicit form; operational connection; symmetric identities; summation formulae; orthogonal polynomials; Laguerre weight; exponential cubic weight; ladder operators; difference equations; Coulomb fluid; Gegenbauer polynomials; generalized Bernoulli polynomials; hypergeometric Bernoulli polynomials; Golden Calculus; Apostol-type Frobenius–Euler polynomials; Apostol-type Frobenius–Euler–Fibonacci polynomials; Stirling–Fibonacci numbers; orthogonal polynomials; asymptotic behavior; rational modifications; Δh sequences; monomiality principle; Legendre–Appell polynomials; explicit forms; determinant form

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