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GENERALIZED TYPE 2 DEGENERATE EULER NUMBERS
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초록
Recently, the type 2 degenerate Euler numbers and polynomials were introduced by Kim-Kim. In this paper, we study the generalized type 2 degenerate Euler numbers, as a further generalization of the type 2 degenerate Euler numbers, and nd explicit expressions for these numbers involving the degenerate central factorial numbers of the second kind.
Abstract
Recently, the type 2 degenerate Euler numbers and polynomials were introduced by Kim-Kim. In this paper, we study the generalized type 2 degenerate Euler numbers, as a further generalization of the type 2 degenerate Euler numbers, and nd explicit expressions for these numbers involving the degenerate central factorial numbers of the second kind.
참고문헌 (12)
- L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
- L. Carlitz, "A degenerate Staudt-Clausen theorem", Arch. Math. (Basel), 7, pp.28~33 (1956)
- D. S. Kim, "A note on type 2 q-Bernoulli and type 2 q-Euler polynomials", J. Inequal. Appl., pp.10~ (2019)
- T. Kim, "Degenerate central factorial numbers of the second kind", Rev. R. Acad. Cienc. Exactas Fs. Nat. Ser. A Mat. RACSAM, 113(4), pp.3359~3367 (2019)
- 김태균, "A note on degenerate central factorial polynomials of the second kind", Advanced Studies in Contemporary Mathematics, 29(1), pp.7~13 (2019), 장전수학회[DOI]
- 장관우, "A note on type 2 degenerate Euler and Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 29(1), pp.147~159 (2019), 장전수학회[DOI]
- 김택연, "A note on degenerate stirling polynomials of the second kind", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.319~332 (2017), 장전수학회[DOI]
- 김태균, "λ-analogue of stirling numbers of the first kind", Advanced Studies in Contemporary Mathematics, 27(3), pp.423~429 (2017), 장전수학회[DOI]
- T. Kim, "A note on type 2 Changhee and Daehee polynomials", Rev. R. Acad. Cienc. Exactas Fs. Nat. Ser. A Mat. RACSAM, 113(3), pp.2783~2791 (2019)
- T. Kim, "On type 2 degenerate Bernoulli and Euler polynomials of complex variable", Adv. Difference Equ., pp.15~ (2019)
- T. Kim, "Degenerate r-Stirling numbers and r-Bell polynomials", Russ. J. Math. Phys., 25(1), pp.44~58 (2018)
- T. Kim, "Degenerate Laplace transform and degenerate gamma function", Russ. J. Math. Phys, 24(2), pp.241~248 (2017)
관련 논문AI추천
A note on type 2 degenerate Euler and Bernoulli polynomials김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호Some identities of the type 2 degenerate Bernoulli and Euler numbers권종겸, 김대산, 장관우, 정세교장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호ON THE GENERALIZED DEGENERATE EULER NUMBERS AND POLYNOMIALS김태균, J. J. Seo장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호SOME IDENTITIES FOR DEGENERATE EULER NUMBERS AND POLYNOMIALS ARISING FROM DEGENERATE BELL POLYNOMIALS권혁인, 김태균, 서종진, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제3호A NOTE ON THE MODIFIED TYPE 2 DEGENERATE POLY-CHANGHEE-GENOCCHI NUMBERS AND POLYNOMIALS김한영, 장이채장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제3호A note on type 2 degenerate multi-poly-Bernoulli polynomials of the second kindM. KAMARUJJAMA, Waseem A. Khan장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제1호
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