Unique maximum property of the Stirling numbers of the second kind
by Willard Evan Bleick
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Letting f(n) and (n) be the first and last maxim of the graph S(n,k); k = 1, 2, ... , n, Kanold [J. Reine Angew. Math 230 (1968), 211-212] shows that, for sufficiently large n, n/log n < f(n) </= (n) /= 3 remains unsolved. It is the purpose of this paper to provide the complete solution of this classical problem.
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Unique maximum property of the Stirling numbers of the second kind
1977, Naval Postgraduate School
in English
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Title from cover.
"Prepared for: Office of Naval Research Statisitics and Probability Branch"--Cover.
"25 January 1977"--Cover.
"NPS-53BL77011"--Cover.
Author(s) key words: Stirling number of the second kind, unique maximum property, Hermit's formula for finite difference.
Includes bibliographical references (p. 4).
"Approved for public release; distribution unlimited"--Cover.
Technical report; 1977.
kmc/kmc 9/9/09.
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