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Book
Current Trends in Symmetric Polynomials with Their Applications Ⅱ
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Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

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.

Keywords

Research & information: general --- Mathematics & science --- OWA operator --- RIM quantifier --- maximum entropy --- minimax ratio --- generating function --- minimal variability --- minimax disparity --- solution equivalence --- fuzzy sets --- extended minimax disparity --- OWA model --- RIM quantifier problem --- extended degenerate r-central factorial numbers of the second kind --- extended degenerate r-central bell polynomials --- type 2 Bernoulli polynomials --- type 2 Euler polynomials --- identities of symmetry --- Laplace distribution --- Fibonacci polynomials --- Lucas polynomials --- sums of powers --- divisible properties --- R. S. Melham’s conjectures --- degenerate Bernoulli polynomials --- degenerate Bernstein operators --- extended r-central complete bell polynomials --- extended r-central incomplete bell polynomials --- complete r-Bell polynomials --- incomplete r-bell polynomials --- Fibonacci numbers --- Lucas numbers --- Chebyshev polynomials --- Legendre polynomials --- Jacobi polynomials --- Gegenbauer polynomials --- convolution formula --- Bernoulli polynomials --- random variables --- p-adic invariant integral on Zp --- integer power sums polynomials --- Stirling polynomials of the second kind --- degenerate Stirling polynomials of the second kind --- type 2 degenerate q-Bernoulli polynomials --- p-adic q-integral --- balancing numbers --- balancing polynomials --- combinatorial methods --- symmetry sums --- Chebyshev polynomials of the first kind --- power series --- polynomial identities --- polynomial inequalities --- Waring–Goldbach problem --- circle method --- exceptional set --- symmetric form --- type 2 degenerate Bernoulli polynomials of the second kind --- degenerate central factorial numbers of the second kind --- degenerate poly-Bernoulli polynomials --- degenerate poly-Genocchi polynomials --- stirling numbers --- Erdős-Ko-Rado theorem --- intersecting families --- polynomial method --- n/a --- polylogarithm functions --- poly-Genocchi polynomials --- unipoly functions --- unipoly Genocchi polynomials --- R. S. Melham's conjectures --- Waring-Goldbach problem --- Erdős-Ko-Rado theorem


Book
Current Trends in Symmetric Polynomials with Their Applications Ⅱ
Author:
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

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.

Keywords

OWA operator --- RIM quantifier --- maximum entropy --- minimax ratio --- generating function --- minimal variability --- minimax disparity --- solution equivalence --- fuzzy sets --- extended minimax disparity --- OWA model --- RIM quantifier problem --- extended degenerate r-central factorial numbers of the second kind --- extended degenerate r-central bell polynomials --- type 2 Bernoulli polynomials --- type 2 Euler polynomials --- identities of symmetry --- Laplace distribution --- Fibonacci polynomials --- Lucas polynomials --- sums of powers --- divisible properties --- R. S. Melham’s conjectures --- degenerate Bernoulli polynomials --- degenerate Bernstein operators --- extended r-central complete bell polynomials --- extended r-central incomplete bell polynomials --- complete r-Bell polynomials --- incomplete r-bell polynomials --- Fibonacci numbers --- Lucas numbers --- Chebyshev polynomials --- Legendre polynomials --- Jacobi polynomials --- Gegenbauer polynomials --- convolution formula --- Bernoulli polynomials --- random variables --- p-adic invariant integral on Zp --- integer power sums polynomials --- Stirling polynomials of the second kind --- degenerate Stirling polynomials of the second kind --- type 2 degenerate q-Bernoulli polynomials --- p-adic q-integral --- balancing numbers --- balancing polynomials --- combinatorial methods --- symmetry sums --- Chebyshev polynomials of the first kind --- power series --- polynomial identities --- polynomial inequalities --- Waring–Goldbach problem --- circle method --- exceptional set --- symmetric form --- type 2 degenerate Bernoulli polynomials of the second kind --- degenerate central factorial numbers of the second kind --- degenerate poly-Bernoulli polynomials --- degenerate poly-Genocchi polynomials --- stirling numbers --- Erdős-Ko-Rado theorem --- intersecting families --- polynomial method --- n/a --- polylogarithm functions --- poly-Genocchi polynomials --- unipoly functions --- unipoly Genocchi polynomials --- R. S. Melham's conjectures --- Waring-Goldbach problem --- Erdős-Ko-Rado theorem


Book
Current Trends in Symmetric Polynomials with Their Applications Ⅱ
Author:
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

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.

Keywords

Research & information: general --- Mathematics & science --- OWA operator --- RIM quantifier --- maximum entropy --- minimax ratio --- generating function --- minimal variability --- minimax disparity --- solution equivalence --- fuzzy sets --- extended minimax disparity --- OWA model --- RIM quantifier problem --- extended degenerate r-central factorial numbers of the second kind --- extended degenerate r-central bell polynomials --- type 2 Bernoulli polynomials --- type 2 Euler polynomials --- identities of symmetry --- Laplace distribution --- Fibonacci polynomials --- Lucas polynomials --- sums of powers --- divisible properties --- R. S. Melham's conjectures --- degenerate Bernoulli polynomials --- degenerate Bernstein operators --- extended r-central complete bell polynomials --- extended r-central incomplete bell polynomials --- complete r-Bell polynomials --- incomplete r-bell polynomials --- Fibonacci numbers --- Lucas numbers --- Chebyshev polynomials --- Legendre polynomials --- Jacobi polynomials --- Gegenbauer polynomials --- convolution formula --- Bernoulli polynomials --- random variables --- p-adic invariant integral on Zp --- integer power sums polynomials --- Stirling polynomials of the second kind --- degenerate Stirling polynomials of the second kind --- type 2 degenerate q-Bernoulli polynomials --- p-adic q-integral --- balancing numbers --- balancing polynomials --- combinatorial methods --- symmetry sums --- Chebyshev polynomials of the first kind --- power series --- polynomial identities --- polynomial inequalities --- Waring-Goldbach problem --- circle method --- exceptional set --- symmetric form --- type 2 degenerate Bernoulli polynomials of the second kind --- degenerate central factorial numbers of the second kind --- degenerate poly-Bernoulli polynomials --- degenerate poly-Genocchi polynomials --- stirling numbers --- Erdős-Ko-Rado theorem --- intersecting families --- polynomial method --- polylogarithm functions --- poly-Genocchi polynomials --- unipoly functions --- unipoly Genocchi polynomials --- OWA operator --- RIM quantifier --- maximum entropy --- minimax ratio --- generating function --- minimal variability --- minimax disparity --- solution equivalence --- fuzzy sets --- extended minimax disparity --- OWA model --- RIM quantifier problem --- extended degenerate r-central factorial numbers of the second kind --- extended degenerate r-central bell polynomials --- type 2 Bernoulli polynomials --- type 2 Euler polynomials --- identities of symmetry --- Laplace distribution --- Fibonacci polynomials --- Lucas polynomials --- sums of powers --- divisible properties --- R. S. Melham's conjectures --- degenerate Bernoulli polynomials --- degenerate Bernstein operators --- extended r-central complete bell polynomials --- extended r-central incomplete bell polynomials --- complete r-Bell polynomials --- incomplete r-bell polynomials --- Fibonacci numbers --- Lucas numbers --- Chebyshev polynomials --- Legendre polynomials --- Jacobi polynomials --- Gegenbauer polynomials --- convolution formula --- Bernoulli polynomials --- random variables --- p-adic invariant integral on Zp --- integer power sums polynomials --- Stirling polynomials of the second kind --- degenerate Stirling polynomials of the second kind --- type 2 degenerate q-Bernoulli polynomials --- p-adic q-integral --- balancing numbers --- balancing polynomials --- combinatorial methods --- symmetry sums --- Chebyshev polynomials of the first kind --- power series --- polynomial identities --- polynomial inequalities --- Waring-Goldbach problem --- circle method --- exceptional set --- symmetric form --- type 2 degenerate Bernoulli polynomials of the second kind --- degenerate central factorial numbers of the second kind --- degenerate poly-Bernoulli polynomials --- degenerate poly-Genocchi polynomials --- stirling numbers --- Erdős-Ko-Rado theorem --- intersecting families --- polynomial method --- polylogarithm functions --- poly-Genocchi polynomials --- unipoly functions --- unipoly Genocchi polynomials

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