Current Trends in Symmetric Polynomials with Their Applications

• Format: eBook
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: balancing numbers; balancing polynomials; Bernoulli polynomials; Chebyshev polynomials; Chebyshev polynomials of the first kind; circle method; combinatorial methods; complete r-Bell polynomials; convolution formula; degenerate Bernoulli polynomials; degenerate Bernstein operators; degenerate central factorial numbers of the second kind; degenerate poly-Bernoulli polynomials; degenerate poly-Genocchi polynomials; degenerate Stirling polynomials of the second kind; divisible properties; Erdős-Ko-Rado theorem; exceptional set; extended degenerate r-central bell polynomials; extended degenerate r-central factorial numbers of the second kind; extended minimax disparity; extended r-central complete bell polynomials; extended r-central incomplete bell polynomials; Fibonacci numbers; Fibonacci polynomials; fuzzy sets; Gegenbauer polynomials; generating function; identities of symmetry; incomplete r-bell polynomials; integer power sums polynomials; intersecting families; Jacobi polynomials; Laplace distribution; Legendre polynomials; Lucas numbers; Lucas polynomials; Mathematics and Science; maximum entropy; minimal variability; minimax disparity; minimax ratio; n/a; OWA model; OWA operator; p-adic invariant integral on Zp; p-adic q-integral; poly-Genocchi polynomials; polylogarithm functions; polynomial identities; polynomial inequalities; polynomial method; power series; R. S. Melham’s conjectures; random variables; Reference, Information and Interdisciplinary subjects; Research and information: general; RIM quantifier; RIM quantifier problem; solution equivalence; stirling numbers; Stirling polynomials of the second kind; sums of powers; symmetric form; symmetry sums; type 2 Bernoulli polynomials; type 2 degenerate Bernoulli polynomials of the second kind; type 2 degenerate q-Bernoulli polynomials; type 2 Euler polynomials; unipoly functions; unipoly Genocchi polynomials; Waring–Goldbach problem
• ISBN: 9783036503615; 3036503617; 9783036503608; 3036503609
• DOI: 10.3390/books978-3-0365-0361-5

The special issue contains research papers with various topics in many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theory, methods, and their application based on current and recent developing symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and contains the most recent advances made in the area of symmetric functions and polynomials.