Asymptotic formulas of r-Whitney numbers of the second kind with real parameters

• Main Author: Gasparin, Raylee J.
• Format: text
• Language: English
• Published: Animo Repository 2014
• Subjects: Mathematics—Formulae; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etd_doctoral/465; https://animorepository.dlsu.edu.ph/context/etd_doctoral/article/1464/viewcontent/ASYMPTOTIC_FORMULAS2_OF_r_WHITNEY_NUMBERS_OF_THE_SECOND_KIND___final_version_Redacted.pdf
• Institution: De La Salle University

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.