Diagonal recurrence relations, inequalities, and monotonicity related to Stirling numbers
arXiv:1402.2040 · doi:10.7153/mia-19-23
Abstract
In the paper, the author derives several "diagonal" recurrence relations, constructs some inequalities, finds monotonicity, and poses a conjecture related to Stirling numbers of the second kind.
9 pages
References in corpus (4)
- An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind
- An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions
- An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind
- Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers
Cited by in corpus (3)
- Explicit expressions for a family of Bell polynomials and derivatives of some functions
- Taylor's series expansions for real powers of functions containing squares of inverse (hyperbolic) cosine functions, explicit formulas for special partial Bell polynomials, and series representations for powers of circular constant
- Analogies of the Qi formula for some Dowling type numbers