Asymptotic Estimates for Second Kind Generalized Stirling Numbers
Author(s) -
Cristina B. Corcino,
Roberto B. Corcino
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/918513
Subject(s) - stirling numbers of the first kind , stirling number , stirling numbers of the second kind , mathematics , generalization , bell polynomials , stirling engine , asymptotic formula , integer (computer science) , real line , line (geometry) , pure mathematics , discrete mathematics , combinatorics , mathematical analysis , geometry , computer science , physics , thermodynamics , programming language
Asymptotic formulas for the generalized Stirling numbers of the second kind with integer and real parameters are obtained and ranges of validity of the formulas are established. The generalizations of Stirling numbers considered here are generalizations along the line of Hsu and Shuie's unified generalization
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