05202nam 2201405z- 450 991036775280332120231214133532.03-03921-621-X(CKB)4100000010106189(oapen)https://directory.doabooks.org/handle/20.500.12854/44450(EXLCZ)99410000001010618920202102d2019 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierCurrent Trends in Symmetric Polynomials with their ApplicationsMDPI - Multidisciplinary Digital Publishing Institute20191 electronic resource (238 p.)3-03921-620-1 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.generalized Laguerrecentral complete Bell numbersrational polynomialsChanghee polynomials of type twoEuler polynomialsgeneralized Laguerre polynomialsHermiteconjectureLegendrethe degenerate gamma functiontrivariate Lucas polynomialsperfectly matched layerthird-order characterEuler numberstwo variable q-Berstein operatorentropy productionhypergeometric functionq-Bernoulli numbersq-Bernoulli polynomialssymmetry groupBernoulli polynomialsFibonacci polynomialscentral incomplete Bell polynomialsChebyshev polynomialsconvolution sumsLucas polynomialsJacobithe modified degenerate Laplace transformq-Volkenborn integral on ?pand fourth kindstwo variable q-Berstein polynomialthe modified degenerate gamma functiontwo variable q-Bernstein operatorsreduction methodidentityelementary and combinatorial methodsgeneralized Bernoulli polynomials and numbers attached to a Dirichlet character ?explicit relationsrecursive sequenceFubini polynomialsp-adic integral on ?pgenerating functionsq-Euler numberacoustic wave equationcongruencetrivariate Fibonacci polynomialsstochastic thermodynamicsfermionic p-adic integralsLaguerre polynomialsfluctuation theoremBernoulli numbers and polynomialsw-torsion Fubini polynomialsnon-equilibrium free energyhypergeometric functions 1F1 and 2F1recursive formulaChebyshev polynomials of the firstsecondcentral complete Bell polynomialsApostol-type Frobenius–Euler polynomialssums of finite productsq-Euler polynomialsymmetric identitiesstabilityfermionic p-adic q-integral on ?pGegenbauer polynomialscontinued fractionthermodynamics of informationwell-posednessfermionic p-adic integral on ?pcatalan numbersclassical Gauss sumsthree-variable Hermite polynomialsq-Changhee polynomialsCatalan numberstwo variable q-Bernstein polynomialsq-Euler polynomialsanalytic methodrepresentationmutual informationFibonacciLegendre polynomialsGegenbauergeneralized Bernoulli polynomials and numbers of arbitrary complex orderLucaselementary methodnew sequencethirdthe degenerate Laplace transformcomputational formulaoperational connectionsums of finite products of Chebyshev polynomials of the third and fourth kindsChanghee polynomialslinear form in logarithmsKim Taekyunauth1292381BOOK9910367752803321Current Trends in Symmetric Polynomials with their Applications3022235UNINA