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Some identities of partially degenerate Bell polynomials arising from differential equations
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Recently, several authors have studied partially degenerate Bell num- bers and polynomials. In this paper, we nd the inversion formula of di erential equation arising from the generating function of partially degenerate Bell poly- nomials already shown in [6] and we derive some new interesting identities and properties from this di erential equation.
Abstract
Recently, several authors have studied partially degenerate Bell num- bers and polynomials. In this paper, we nd the inversion formula of di erential equation arising from the generating function of partially degenerate Bell poly- nomials already shown in [6] and we derive some new interesting identities and properties from this di erential equation.
참고문헌 (9)
- D. V. Dolgy, "Differential equations associated with higher-order Bernoulli numbers of the second kind revisited", J. Anal. Appl, 14(2), pp.107~121 (2016)[DOI]
- L.-C. Jang, "Some identities of Bell polynomials", J. Comput. Anal. Appl, 20(3), pp.584~589 (2016)[DOI]
- D. S. Kim, "On degenerate Bell numbers and polynomials", Rev. R. Acad. Cienc. Exactas Fs. Nat. Ser. A Mat. RACSAM, 111(2), pp.435~446 (2017)
- D. S. Kim, "Some identities of Bell polynomials", Sci. China Math, 58(10), pp.2095~2104 (2015)
- D. S. Kim, "On degenerate Bell numbers and polynomials", Rev. R. Acad. Cienc. Exactas Fs. Nat. Ser. A Mat. RACSAM, 111(2), pp.435~446 (2017)
- 김대산, "Some identities of partially degenerate touchard polynomials arising from differential equations", Advanced Studies in Contemporary Mathematics, 27(2), pp.243~251 (2017), 장전수학회[DOI]
- T. Kim, "On λ -Bell polynomials associated with umbral calculus", Russ. J. Math. Phys, 24(1), pp.69~78 (2017)[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]
- T. Kim, "Differential equations for Changhee polynomials and their applications", J. Nonlinear Sci. Appl, 9(5), pp.2857~2864 (2016)[DOI]
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