Asymptotic formulas of r-Whitney numbers of the second kind with real parameters
Date of Publication
Doctor of Philosophy in Mathematics
College of Science
Mathematics and Statistics Department
Cristina B. Corcino
Defense Panel Chair
Jose Tristan F. Reyes
Defense Panel Member
Polly W. Sy
Arlene A. Pascasio
Kristine Joy E. Carpio
Arturo Y. Pacificador, Jr.
The r-Whitney numbers of the second kind were introduced by I. Mez}o in 2010. These numbers are the same numbers as the (r )-Stirling numbers of the second kind de ned by R. Corcino in 1999.
Motivated by the work of Chelluri et. al, in this paper asymptotic estimates of r-Whitney numbers of the second kind with real values of the parameters n and m are obtained using two methods. The rst method is the one Temme used in nding an asymptotic estimate of the classical Stirling numbers and the second method is that of Moser and Wyman. The formulas obtained are shown to be equivalent in the range of a parameter where they are both valid.
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Gasparin, R. J. (2014). Asymptotic formulas of r-Whitney numbers of the second kind with real parameters. Retrieved from https://animorepository.dlsu.edu.ph/etd_doctoral/465