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In the paper, by virtue of the Fa\`a di Bruno formula, properties of the Bell polynomials of the second kind, and the Lah inversion formula, the author simplifies coefficients in a family of ordinary differential equations related to the generating function of the Mittag--Leffler polynomials.
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참고문헌 (29)
참고문헌 신청
M. Aigner / 1979 / Combinatorial Theory, Grundlehren der Mathematischen Wis-senschaften [Fundamental Principles of Mathematical Sciences] / Springer-Verlag :234
M. Aigner / 2007 / Discrete Mathematics, Translated from the 2004 German original by David Kramer / American Mathematical Society
L. Comtet / 1974 / Advanced Combinatorics: The Art of Finite and In-nite Expansions / D. Reidel Publishing Co.
T. Kim / 2016 / Differential equations associated with Mittag-Le er polynomials / Glob. J. Pure Appl. Math 12(4):2839~2847
F. Qi / 2018 / A simple form for coecients in a family of nonlinear ordinary differential equations / Adv. Appl. Math. Sci 17(8):555~561
M. Aigner / 2007 / Discrete Mathematics, Translated from the 2004 German original by David Kramer / American Mathematical Society
L. Comtet / 1974 / Advanced Combinatorics: The Art of Finite and In-nite Expansions / D. Reidel Publishing Co.
T. Kim / 2016 / Differential equations associated with Mittag-Le er polynomials / Glob. J. Pure Appl. Math 12(4):2839~2847
F. Qi / 2018 / A simple form for coecients in a family of nonlinear ordinary differential equations / Adv. Appl. Math. Sci 17(8):555~561
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