Properties of Stirling Numbers of the Second Kind
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Authors
Benjes, Christopher
Subjects
Stirling Numbers
Concavity properties
Generating functions
Unimodel
Concavity properties
Generating functions
Unimodel
Advisors
Wang, Peter C.-C.
Date of Issue
1971-06
Date
June 1971
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
The fact that Stirling Numbers of the Second Kind have arisen in various nonrelated fields, from microelectronics to topology, established the need for a more extensive study of the properties of those Stirling numbers. In order to study the properties, new identities and inequalities for Stirling Numbers if the Second Kind must be formed. In an attempt to deepen the understanding of Stirling Numbers, this paper first states and proves known identities and then establishes various new properties through the introduction of additional identities and inequalities.
Type
Thesis
Description
Series/Report No
Department
Department of Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funding
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.