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Lah-Bell numbers and polynomials
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In this paper, we introduce the Lah-Bell numbers and their natural extensions, namely the Lah-Bell polynomials, and derive some basic properties of such numbers and polynomials by using elementary methods. In addition, we consider the degenerate Lah-Bell numbers and polynomials as degenerate versions of the Lah-Bell numbers and polynomials.
Abstract
In this paper, we introduce the Lah-Bell numbers and their natural extensions, namely the Lah-Bell polynomials, and derive some basic properties of such numbers and polynomials by using elementary methods. In addition, we consider the degenerate Lah-Bell numbers and polynomials as degenerate versions of the Lah-Bell numbers and polynomials.
참고문헌 (15)
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- Kim, "T. A note on polyexponential and unipoly functions", Russ. J. Math. Phys, 26(1), pp.40~49 (2019)
- 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]
- Kim, T, "Degenerate polyexponential functions and degenerate Bell polynomials", J. Math. Anal. Appl, 487(2), pp.15~ (2020)
- 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]
- Kim, T, "A note on some identities of new type degenerate Bell polynomials", Mathematics (2019)
- Liu, C, "Wuyungaowa Application of probabilistic method on Daehee sequences", Eur. J. Pure Appl. Math, 11(1), pp.69~78 (2018)
- Luo, Y.-N, "Wuyungaowa. Some combinatorial identities about Daehee sequences", J. Combin. Math. Combin. Comput, 108, pp.75~87 (2019)
- Roman, S, "The umbral calculus. Pure and Applied Mathematics 111" (1984), Academic Press, Inc
- YILMAZ SIMSEK, "IDENTITIES ON THE CHANGHEE NUMBERS AND APOSTOL-TYPE DAEHEE POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 27(2), pp.199~212 (2017), 장전수학회[DOI]
- Tauber, S, "Lah numbers for Fibonacci and Lucas polynomials", Fibonacci Quart, 6(5), pp.93~99 (1968)
- Zheng, Y, "Bivariate extension of Bell polynomials", J. Integer Seq, 22(8), pp.8~ (2019)
관련 논문AI추천
ON THE RECIPROCAL DEGENERATE LAH-BELL POLYNOMIALS AND NUMBERS김병문, 박진우, Yunjae Kim장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제1호NOTE ON EXTENDED LAH-BELL POLYNOMIALS AND DEGENERATE EXTENDED LAH-BELL POLYNOMIALS김혜경, 이대식장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제4호DEGENERATE COMPLETE BELL POLYNOMIALS AND NUMBERS김택연장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제4호On partially degenerate Bell numbers and polynomials김대산, 김택연, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제3호ON THE EXTENSION OF DEGENERATE STIRLING POLYNOMIALS OF THE SECOND KIND AND DEGENERATE BELL POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호r-EXTENDED LAH-BELL NUMBERS AND POLYNOMIALS ASSOCIATED WITH r-LAH NUMBERS김대산, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제1호
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