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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 제24권 제2호
- 발행연도
- 2021.4
- 수록면
- 205 - 222 (18page)
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The polylogarithm function was introduced by Kim-Kim (Russ. J. Math. Phys. 27(2), 227-235(2020)). In addition, many mathematicians have been studying various degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects.
Our main focus here is the degenerate poly-type 2 Euler polynomials and numbers. This focus stems from their importance for applications in combinatorics, number theory and in other aspects of applied mathematics.
we construct a new type of degenerate poly-type 2 Euler polynomials by using the degenerate polylogarithm function, called degenerate poly-type 2 Euler polynomials and numbers. We also show several combinatorial identities related to the degenerate poly-type 2 Euler polynomials and numbers. We also construct the degenerate unipolytype 2 Euler polynomials attached to an arithmetic function. By using the degenerate polylogarithm function, we also give some new explicit expressions and identities related to degenerate unipoly-type 2 Euler polynomials and some special numbers and polynomials.
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참고문헌 (31)
참고문헌 신청
Araci, S. / 2015 / Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials / Adv. Difference Equ 2015:272
Serkan Araci / 2013 / A NOTE ON THE q-ANALOGUE OF KIM’S p-ADIC log GAMMA TYPE FUNCTIONS ASSOCIATED WITH q-EXTENSION OF GENOCCHI AND EULER NUMBERS WITH WEIGHT α / 대한수학회보 50(2):583~588
Araci, S / 2012 / Explicit formulas involving q-Euler numbers and polynomials / Abstr. Appl. Anal :298531
Brewbaker, C. / 2005 / Lonesum(0,1)-imatrices and poly-Bernoulli numbers of negative index
Carlitz, L. / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
Serkan Araci / 2013 / A NOTE ON THE q-ANALOGUE OF KIM’S p-ADIC log GAMMA TYPE FUNCTIONS ASSOCIATED WITH q-EXTENSION OF GENOCCHI AND EULER NUMBERS WITH WEIGHT α / 대한수학회보 50(2):583~588
Araci, S / 2012 / Explicit formulas involving q-Euler numbers and polynomials / Abstr. Appl. Anal :298531
Brewbaker, C. / 2005 / Lonesum(0,1)-imatrices and poly-Bernoulli numbers of negative index
Carlitz, L. / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
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