On a \(q\)-analogue degenerate Carlitz's type Daehee polynomials and numbers
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Authors
Jongkyum Kwon
- Department of Mathematics Education and ERI, Gyeongsang National University, Jinju, 52828, Republic of Korea.
Yunjae Kim
- Department of Mathematics, Dong-A University, Busan, 49315, Republic of Korea.
Gyoyong Sohn
- Department of Mathematics Education, Daegu National University of Education, Daegu, 705-715, Republic of Korea.
Jin-Woo Park
- Department of Mathematics Education, Daegu University, Gyeongsangbuk-do, 38453, Republic of Korea.
Abstract
Studies on degenerate versions of Stirling, Bernoulli and Eulerian numbers started by [L. Carlitz, Utilitas Math., \(\bf 15\) (1979), 51--88]. In recent years, many mathematicians have studied degenerate version of various special polynomials and numbers. In this paper, we introduce the \(q\)-analogue degenerate Carlitz's type Daehee and higher-order degenerate Carlitz's type Daehee polynomials and numbers. Also, we study some explicit identities and properties for the \(q\)-analogue degenerate Carlitz's type Daehee polynomials and numbers and higher-order \(q\)-analogue degenerate Carlitz's type Daehee polynomials and numbers arising from \(p\)-adic invariant \(q\)-integral on \(\mathbb{Z}_p\).
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ISRP Style
Jongkyum Kwon, Yunjae Kim, Gyoyong Sohn, Jin-Woo Park, On a \(q\)-analogue degenerate Carlitz's type Daehee polynomials and numbers, Journal of Mathematics and Computer Science, 19 (2019), no. 2, 136--142
AMA Style
Kwon Jongkyum, Kim Yunjae, Sohn Gyoyong, Park Jin-Woo, On a \(q\)-analogue degenerate Carlitz's type Daehee polynomials and numbers. J Math Comput SCI-JM. (2019); 19(2):136--142
Chicago/Turabian Style
Kwon, Jongkyum, Kim, Yunjae, Sohn, Gyoyong, Park, Jin-Woo. "On a \(q\)-analogue degenerate Carlitz's type Daehee polynomials and numbers." Journal of Mathematics and Computer Science, 19, no. 2 (2019): 136--142
Keywords
- \(p\)-Adic \(q\)-integral of \(f\) on \(\mathbb{Z}_p\)
- degenerate Carlitz's type Daehee polynomials and numbers
- degenerate \(q\)-Bernoulli polynomials
MSC
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