Symmetric Properties of Carlitz’s Type <i>q</i>-Changhee Polynomials

Symmetric Properties of Carlitz’s Type <i>q</i>-Changhee Polynomials

Changhee polynomials were introduced by Kim, and the generalizations of these polynomials have been characterized. In our paper, we investigate various interesting symmetric identities for Carlitz&#8217;s type <i>q</i>-Changhee polynomials under the symmetry group of order <i>n...

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Main Authors: Yunjae Kim, Byung Moon Kim, Jin-Woo Park
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Symmetry
Subjects:
fermionic <i>p</i>-adic <i>q</i>-integral on ℤ<i>p</i>
<i>q</i>-Euler polynomials
<i>q</i>-Changhee polynomials
symmetry group
Online Access:https://www.mdpi.com/2073-8994/10/11/634
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spelling doaj-262dc75641f6441e86b52e68295a6e002020-11-24T20:43:31ZengMDPI AGSymmetry2073-89942018-11-01101163410.3390/sym10110634sym10110634Symmetric Properties of Carlitz’s Type <i>q</i>-Changhee PolynomialsYunjae Kim0Byung Moon Kim1Jin-Woo Park2Department of Mathematics, Dong-A University, Busan 49315, KoreaDepartment of Mechanical System Engineering, Dongguk University, Gyeongju 38066, KoreaDepartment of Mathematics Education, Daegu University, Gyeongsan 38066, KoreaChanghee polynomials were introduced by Kim, and the generalizations of these polynomials have been characterized. In our paper, we investigate various interesting symmetric identities for Carlitz&#8217;s type <i>q</i>-Changhee polynomials under the symmetry group of order <i>n</i> arising from the fermionic <i>p</i>-adic <i>q</i>-integral on <inline-formula> <math display="inline"> <semantics> <msub> <mi mathvariant="double-struck">Z</mi> <mi>p</mi> </msub> </semantics> </math> </inline-formula>.https://www.mdpi.com/2073-8994/10/11/634fermionic <i>p</i>-adic <i>q</i>-integral on ℤ<i>p</i><i>q</i>-Euler polynomials<i>q</i>-Changhee polynomialssymmetry group
collection DOAJ
language English
format Article
sources DOAJ
author Yunjae Kim
Byung Moon Kim
Jin-Woo Park
spellingShingle Yunjae Kim
Byung Moon Kim
Jin-Woo Park
Symmetric Properties of Carlitz’s Type <i>q</i>-Changhee Polynomials
Symmetry
fermionic <i>p</i>-adic <i>q</i>-integral on ℤ<i>p</i>
<i>q</i>-Euler polynomials
<i>q</i>-Changhee polynomials
symmetry group
author_facet Yunjae Kim
Byung Moon Kim
Jin-Woo Park
author_sort Yunjae Kim
title Symmetric Properties of Carlitz’s Type <i>q</i>-Changhee Polynomials
title_short Symmetric Properties of Carlitz’s Type <i>q</i>-Changhee Polynomials
title_full Symmetric Properties of Carlitz’s Type <i>q</i>-Changhee Polynomials
title_fullStr Symmetric Properties of Carlitz’s Type <i>q</i>-Changhee Polynomials
title_full_unstemmed Symmetric Properties of Carlitz’s Type <i>q</i>-Changhee Polynomials
title_sort symmetric properties of carlitz’s type <i>q</i>-changhee polynomials
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2018-11-01
description Changhee polynomials were introduced by Kim, and the generalizations of these polynomials have been characterized. In our paper, we investigate various interesting symmetric identities for Carlitz&#8217;s type <i>q</i>-Changhee polynomials under the symmetry group of order <i>n</i> arising from the fermionic <i>p</i>-adic <i>q</i>-integral on <inline-formula> <math display="inline"> <semantics> <msub> <mi mathvariant="double-struck">Z</mi> <mi>p</mi> </msub> </semantics> </math> </inline-formula>.
topic fermionic <i>p</i>-adic <i>q</i>-integral on ℤ<i>p</i>
<i>q</i>-Euler polynomials
<i>q</i>-Changhee polynomials
symmetry group
url https://www.mdpi.com/2073-8994/10/11/634
work_keys_str_mv AT yunjaekim symmetricpropertiesofcarlitzstypeiqichangheepolynomials
AT byungmoonkim symmetricpropertiesofcarlitzstypeiqichangheepolynomials
AT jinwoopark symmetricpropertiesofcarlitzstypeiqichangheepolynomials
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