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DEGENERATE COMPLETE BELL POLYNOMIALS AND NUMBERS
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Recently, several authors have studied complete Bell polyno- mials and numbers. In this paper, we consider degenerate complete Bell polynomials and numbers and we give some explicit formulas for these numbers and polynomials related to degenerate Stirling numbers.
Abstract
Recently, several authors have studied complete Bell polyno- mials and numbers. In this paper, we consider degenerate complete Bell polynomials and numbers and we give some explicit formulas for these numbers and polynomials related to degenerate Stirling numbers.
참고문헌 (12)
- S. Bouroubi, "A new identity for complete Bell polynomials based on a formula of Ramanujan", J. Integer Seq, 12(3) (2009)
- L. Carlitz, "Some congruences for the Bell polynomials", Pacific J. Math, 11, pp.1215~1222 (1961)
- L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
- N. P. Cakic, "The complete Bell polynomials and numbers of Mitrinovic", Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat, 6, pp.74~78 (1995)
- 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]
- 김택연, "On partially degenerate Bell numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.337~346 (2017), 장전수학회[DOI]
- 김택연, "Extended stirling polynomials of the second kind and extended Bell polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.365~376 (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]
- D. S. Kim, "On degenerate Bell numbers and polynomials", Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A. Math. RACSAM, 111(2), pp.435~446 (2017)
- K. S. Kolbig, "Some infinite integrals with powers of logarithms and the complete Bell polynomials", J. Comput. Appl. Math, 69(1), pp.39~47 (1996)
- P. Natalini, "Remarks on Bell and higher order Bell polynomials and numbers", Cogent Math, 3, pp.15~ (2016)
- W. Wang, "General identities on Bell polynomials", Comput. Math. Appl, 28, pp.104~118 (2009)
관련 논문AI추천
ON DEGENERATE BELL POLYNOMIALS ASSOCIATED WITH SPECIAL NUMBERS AND POLYNOMIALS권종겸, 김대산, 김태균, UITAE PARK장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제3호ON THE EXTENSION OF DEGENERATE STIRLING POLYNOMIALS OF THE SECOND KIND AND DEGENERATE BELL POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호On partially degenerate Bell numbers and polynomials김대산, 김택연, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제3호DEGENERATE ORDERED BELL NUMBERS AND POLYNOMIALS김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제2호SOME EXPLICIT FORMULAS OF DEGENERATE STIRLING NUMBERS ASSOCIATED WITH THE DEGENERATE SPECIAL NUMBERS AND POLYNOMIALS김태균, D. V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제2호SOME IDENTITIES ON DEGENERATE BELL POLYNOMIALS AND THEIR RELATED IDENTITIES김대산, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제1호
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