Current Trends in Symmetric Polynomials with their Applications

Kim, Taekyun

Current Trends in Symmetric Polynomials with their Applications


English[eng]


generalized Laguerre||central complete Bell numbers||rational polynomials||Changhee polynomials of type two||Euler polynomials||generalized Laguerre polynomials||Hermite||conjecture||Legendre||the degenerate gamma function||trivariate Lucas polynomials||perfectly matched layer||third-order character||Euler numbers||two variable q-Berstein operator||entropy production||hypergeometric function||q-Bernoulli numbers||q-Bernoulli polynomials||symmetry group||Bernoulli polynomials||Fibonacci polynomials||central incomplete Bell polynomials||Chebyshev polynomials||convolution sums||Lucas polynomials||Jacobi||the modified degenerate Laplace transform||q-Volkenborn integral on ?p||and fourth kinds||two variable q-Berstein polynomial||the modified degenerate gamma function||two variable q-Bernstein operators||reduction method||identity||elementary and combinatorial methods||generalized Bernoulli polynomials and numbers attached to a Dirichlet character ?||explicit relations||recursive sequence||Fubini polynomials||p-adic integral on ?p||generating functions||q-Euler number||acoustic wave equation||congruence||trivariate Fibonacci polynomials||stochastic thermodynamics||fermionic p-adic integrals||Laguerre polynomials||fluctuation theorem||Bernoulli numbers and polynomials||w-torsion Fubini polynomials||non-equilibrium free energy||hypergeometric functions 1F1 and 2F1||recursive formula||Chebyshev polynomials of the first||second||central complete Bell polynomials||Apostol-type Frobenius–Euler polynomials||sums of finite products||q-Euler polynomial||symmetric identities||stability||fermionic p-adic q-integral on ?p||Gegenbauer polynomials||continued fraction||thermodynamics of information||well-posedness||fermionic p-adic integral on ?p||catalan numbers||classical Gauss sums||three-variable Hermite polynomials||q-Changhee polynomials||Catalan numbers||two variable q-Bernstein polynomials||q-Euler polynomials||analytic method||representation||mutual information||Fibonacci||Legendre polynomials||Gegenbauer||generalized Bernoulli polynomials and numbers of arbitrary complex order||Lucas||elementary method||new sequence||third||the degenerate Laplace transform||computational formula||operational connection||sums of finite products of Chebyshev polynomials of the third and fourth kinds||Changhee polynomials||linear form in logarithms