Current Trends in Symmetric Polynomials with their Applications

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, e...

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Hoofdauteur: Kim, Taekyun
Formaat: Online
Taal:Engels
Gepubliceerd in: MDPI - Multidisciplinary Digital Publishing Institute 2021
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author Kim, Taekyun
author_browse Kim, Taekyun
author_facet Kim, Taekyun
author_sort Kim, Taekyun
collection Directory of Open Access Books
description 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.
format Online
id doab-20.500.12854ir-44450
institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-444502023-12-20T18:40:39Z Current Trends in Symmetric Polynomials with their Applications Kim, Taekyun QA1-939 Q1-390 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 bic Book Industry Communication::P Mathematics & science 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. 2021-02-11T10:54:21Z 2021-02-11T10:54:21Z 2019-12-09 16:10:12 2019 book 42705 9783039216208 9783039216215 https://directory.doabooks.org/handle/20.500.12854/44450 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/1708 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03921-621-5 10.3390/books978-3-03921-621-5 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039216208 9783039216215 238 open access
spellingShingle QA1-939
Q1-390
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
bic Book Industry Communication::P Mathematics & science
Kim, Taekyun
Current Trends in Symmetric Polynomials with their Applications
title Current Trends in Symmetric Polynomials with their Applications
title_full Current Trends in Symmetric Polynomials with their Applications
title_fullStr Current Trends in Symmetric Polynomials with their Applications
title_full_unstemmed Current Trends in Symmetric Polynomials with their Applications
title_short Current Trends in Symmetric Polynomials with their Applications
title_sort current trends in symmetric polynomials with their applications
topic QA1-939
Q1-390
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
bic Book Industry Communication::P Mathematics & science
topic_facet QA1-939
Q1-390
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
bic Book Industry Communication::P Mathematics & science
url 42705
work_keys_str_mv AT kimtaekyun currenttrendsinsymmetricpolynomialswiththeirapplications