TWO VARIABLE HIGHER-ORDER DEGENERATE FUBINI POLYNOMIALS
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초록
Fubini numbers (also called ordered Bell numbers) have been studied by several authors (see [2, 3, 4, 6, 8]). Recently, Kim-Kim studied the two variable Fubini polynomials and degenerate Fubini polynomials (see [6-8]). In this paper, we consider the higher-order two variable degenerate Fubini polynomials by using umbral calculus. We present several explicit formulas and recurrence relations for these polynomials. In addition, we express the higher-order two variable degenerate Fubini polynomials in terms of some families of special polynomials and vice versa.
Abstract
Fubini numbers (also called ordered Bell numbers) have been studied by several authors (see [2, 3, 4, 6, 8]). Recently, Kim-Kim studied the two variable Fubini polynomials and degenerate Fubini polynomials (see [6-8]). In this paper, we consider the higher-order two variable degenerate Fubini polynomials by using umbral calculus. We present several explicit formulas and recurrence relations for these polynomials. In addition, we express the higher-order two variable degenerate Fubini polynomials in terms of some families of special polynomials and vice versa.
참고문헌 (11)
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- L. Kargin, "Some formulae for products of Fubini polynomials with applications", arXiv:1701.01023, ~ (2016)
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- T. Kim, "A note on degenerate Fubini polynomials"
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- T. Kim, "On <TEX>$\lambda$<", TEX>-Bell polynomials associated with umbral calculus, 2017, pp.24(1), 69~78
- S. Roman, "The umbral calculus, Pure and Applied Mathematics, vol. 111" (1984), Harcourt Brace Jovanovich, Publishers
