Title

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

Date of Publication

2014

Document Type

Dissertation

Degree Name

Doctor of Philosophy in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Thesis Adviser

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.

Abstract/Summary

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.

Abstract Format

html

Format

Electronic

Accession Number

CDTG006701

Shelf Location

Archives, The Learning Commons, 12F Henry Sy Sr. Hall

Physical Description

1 computer optical disc ; 4 3/4 in

Keywords

Mathematics—Formulae

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