On Stirling numbers for complex arguments and Hankel contours. (English) Zbl 0921.05001

Flajolet, Philippe; Prodinger, Helmut

SIAM J. Discrete Math. 12, No. 2, 155-159 (1999).

Authors’ abstract: Cauchy coefficient integrals and Hankel contours provide a natural generalization of Stirling numbers for unrestricted complex values of their arguments. Many classical identities survive such an extension.

Reviewer: R.Scurr (Dunedin)

MSC:

05A10	Factorials, binomial coefficients, combinatorial functions
11B83	Special sequences and polynomials
11B68	Bernoulli and Euler numbers and polynomials

Keywords:

Stirling numbers; complex arguements; Hankel contours