77 citations · 1.1k across the 47 of their papers we have counts for
5 papers · 1 filter
Maclaurin's series expansions for positive integer powers of inverse (hyperbolic) sine and related functions, specific values of partial Bell polynomials, and two applications
Bai-Ni Guo, Dongkyu Lim, Feng Qi
In the paper, the authors establish Maclaurin's series expansions and series identities for positive integer powers of the inverse sine function, for positive integer powers of the…
An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions
Feng Qi
In the paper, the author finds an explicit formula for computing Bell numbers in terms of Kummer confluent hypergeometric functions and Stirling numbers of the second kind.
An explicit formula for Bernoulli polynomials in terms of -Stirling numbers of the second kind
Bai-Ni Guo, István Mező, Feng Qi
In the paper, the authors establish an explicit formula for computing Bernoulli polynomials at non-negative integer points in terms of -Stirling numbers of the second kind.
Some integral representations and properties of Lah numbers
Bai-Ni Guo, Feng Qi
In the paper, the authors find some integral representations and discover some properties of Lah numbers.
Six proofs for an identity of the Lah numbers
Bai-Ni Guo, Feng Qi
In the paper, utilizing respectively the induction, a generating function of the Lah numbers, the Chu-Vandermonde summation formula, an inversion formula, the Gauss hypergeometric…