We derive asymptotic expansions for the Stirling numbers of real arguments as defined by Flajolet and Prodinger. We also generalize certain classical identities for Stirling numbers with integral arguments to real or complex arguments.

Stirling numbers for complex arguments: asymptotics and identities / KEMKES G.; LEE C. F.; D. MERLINI; RICHMOND B.. - In: SIAM JOURNAL ON DISCRETE MATHEMATICS. - ISSN 0895-4801. - STAMPA. - 16:(2003), pp. 179-191. [10.1137/S0895480102401119]

Stirling numbers for complex arguments: asymptotics and identities

MERLINI, DONATELLA;
2003

Abstract

We derive asymptotic expansions for the Stirling numbers of real arguments as defined by Flajolet and Prodinger. We also generalize certain classical identities for Stirling numbers with integral arguments to real or complex arguments.
2003
16
179
191
KEMKES G.; LEE C. F.; D. MERLINI; RICHMOND B.
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/312507
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