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2 results on '"DONGKYU LIM"'

1. Several recursive and closed-form formulas for some specific values of partial Bell polynomials

Author

Wei-shih DU, Dongkyu LIM, and Feng Qİ

Subjects
specific value, partial Bell polynomial, special sequence, recursive formula, closed-form formula, Gauss, open problem, Matematik, Applied Mathematics, Analysis, Mathematics
Abstract

In this paper, the authors derive several recursive and closed-form formulas for some specific values of partial Bell polynomials.

Published
2022

2. Several identities containing central binomial coefficients and derived from series expansions of powers of the arcsine function

Author

Feng Qi, Dongkyu Lim, and Chao-Ping Chen

Subjects
Power series, ratio, Pure mathematics, Catalan number, Identity (mathematics), Mathematics (miscellaneous), identity,product,ratio,central binomial coefficient,power series expansion,arcsine function,square,cubic,generating function,Catalan number, product, Central binomial coefficient, central binomial coefficient, Binomial coefficient, identity, Mathematics, power series expansion, QA299.6-433, Matematik, Applied Mathematics, square, Generating function, arcsine function, Function (mathematics), catalan number, generating function, cubic, Geometry and Topology, Series expansion, Analysis
Abstract

In the paper, with the aid of the series expansions of the square or cubic of the arcsine function, the authors establish several possibly new combinatorial identities containing the ratio of two central binomial coefficients which are related to the Catalan numbers in combinatorial number theory.

Published
2021

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