Reprint

# Current Trends in Symmetric Polynomials with their Applications

Edited by

October 2019

238 pages

- ISBN978-3-03921-620-8 (Paperback)
- ISBN978-3-03921-621-5 (PDF)

This is a Reprint of the Special Issue Current Trends in Symmetric Polynomials with their Applications that was published in

Biology & Life Sciences

Chemistry & Materials Science

Computer Science & Mathematics

Physical Sciences

Summary

This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions and polynomials.

Format

- Paperback

License and Copyright

© 2019 by the authors; CC BY-NC-ND license

Keywords

Fubini polynomials;

*w*-torsion Fubini polynomials; fermionic*p*-adic integrals; symmetric identities; Chebyshev polynomials; sums of finite products; hypergeometric function; Fubini polynomials; Euler numbers; symmetric identities; elementary method; computational formula; two variable*q*-Berstein polynomial; two variable*q*-Berstein operator;*q*-Euler number;*q*-Euler polynomial; Fubini polynomials; Euler numbers; congruence; elementary method;*q*-Bernoulli numbers;*q*-Bernoulli polynomials; two variable*q*-Bernstein polynomials; two variable*q*-Bernstein operators;*p*-adic integral on ℤ*p*; the degenerate gamma function; the modified degenerate gamma function; the degenerate Laplace transform; the modified degenerate Laplace transform; Fibonacci; Lucas; linear form in logarithms; continued fraction; reduction method; sums of finite products of Chebyshev polynomials of the third and fourth kinds; Hermite; generalized Laguerre; Legendre; Gegenbauer; Jacobi; third-order character; classical Gauss sums; rational polynomials; analytic method; recursive formula; fermionic*p*-adic*q*-integral on ℤ*p*;*q*-Euler polynomials;*q*-Changhee polynomials; symmetry group; Apostol-type Frobenius–Euler polynomials; three-variable Hermite polynomials; symmetric identities; explicit relations; operational connection;*q*-Volkenborn integral on ℤ*; Bernoulli numbers and polynomials; generalized Bernoulli polynomials and numbers of arbitrary complex order; generalized Bernoulli polynomials and numbers attached to a Dirichlet character χ; Changhee polynomials; Changhee polynomials of type two; fermionic*_{p}*p*-adic integral on ℤ_{p}; Chebyshev polynomials of the first, second, third, and fourth kinds; sums of finite products; representation; catalan numbers; elementary and combinatorial methods; recursive sequence; convolution sums; well-posedness; stability; acoustic wave equation; perfectly matched layer; Fibonacci polynomials; Lucas polynomials; trivariate Fibonacci polynomials; trivariate Lucas polynomials; generating functions; central incomplete Bell polynomials; central complete Bell polynomials; central complete Bell numbers; Legendre polynomials; Laguerre polynomials; generalized Laguerre polynomials; Gegenbauer polynomials; hypergeometric functions_{1}*F*_{1}and_{2}*F*_{1}; Euler polynomials; Bernoulli polynomials; elementary method; identity; congruence; new sequence; Catalan numbers; elementary and combinatorial methods; congruence; conjecture; fluctuation theorem; thermodynamics of information; stochastic thermodynamics; mutual information; non-equilibrium free energy; entropy production