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Current Trends in Symmetric Polynomials with their Applications
Taekyun Kim
2019
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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.
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Keywords
- acoustic wave equation
- analytic method
- and fourth kinds
- Apostol-type Frobenius–Euler polynomials
- Bernoulli numbers and polynomials
- Bernoulli polynomials
- catalan numbers
- central complete Bell numbers
- central complete Bell polynomials
- central incomplete Bell polynomials
- Changhee polynomials
- Changhee polynomials of type two
- Chebyshev polynomials
- Chebyshev polynomials of the first
- classical Gauss sums
- computational formula
- congruence
- conjecture
- continued fraction
- convolution sums
- elementary and combinatorial methods
- elementary method
- entropy production
- Euler numbers
- Euler polynomials
- explicit relations
- fermionic p-adic integral on ?p
- fermionic p-adic integrals
- fermionic p-adic q-integral on ?p
- Fibonacci
- Fibonacci polynomials
- fluctuation theorem
- Fubini polynomials
- Gegenbauer
- Gegenbauer polynomials
- generalized Bernoulli polynomials and numbers attached to a Dirichlet character ?
- generalized Bernoulli polynomials and numbers of arbitrary complex order
- generalized Laguerre
- generalized Laguerre polynomials
- Generating functions
- Hermite
- hypergeometric function
- hypergeometric functions 1F1 and 2F1
- Identity
- Jacobi
- Laguerre polynomials
- Legendre
- Legendre polynomials
- linear form in logarithms
- lucas
- Lucas polynomials
- mutual information
- new sequence
- non-equilibrium free energy
- operational connection
- p-adic integral on ?p
- perfectly matched layer
- q-Bernoulli numbers
- q-Bernoulli polynomials
- q-Changhee polynomials
- q-Euler number
- q-Euler polynomial
- q-Euler polynomials
- q-Volkenborn integral on ?p
- rational polynomials
- recursive formula
- recursive sequence
- reduction method
- Representation
- Second
- Stability
- Stochastic Thermodynamics
- sums of finite products
- sums of finite products of Chebyshev polynomials of the third and fourth kinds
- symmetric identities
- symmetry group
- the degenerate gamma function
- the degenerate Laplace transform
- the modified degenerate gamma function
- the modified degenerate Laplace transform
- thermodynamics of information
- third
- third-order character
- three-variable Hermite polynomials
- trivariate Fibonacci polynomials
- trivariate Lucas polynomials
- two variable q-Bernstein operators
- two variable q-Bernstein polynomials
- two variable q-Berstein operator
- two variable q-Berstein polynomial
- w-torsion Fubini polynomials
- well-posedness
Links
DOI: 10.3390/books978-3-03921-621-5Editions
