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Abstract: This paper is concerned with problems of the following type: # Accepted for publication in Advances in Applied Mathematics. Given a random (under a suitable probability model) partition or composition, study quantitatively the measures of the degree of distinctness of its parts (Update)
Context of citations to this paper: More
...degree of distinctness of a composition is a natural and important parameter. Many references and applications can be found in Hwang and Yeh, [21] which attracted our interest into this fascinating topic. We consider the composition of an integer N into k parts, 1 ;...
...1. Numerically we find ae = 0:571349 : The other poles are further away, which can proved by Rouch e s theorem very much as in [6,9,11,12,13]. Consequently, in a neighbourhood of z = ae, C(z) A 1 Gamma z=ae ; with A = 0:456387 : Therefore, c(n) Aae 2. The number...
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BibTeX entry: (Update)
Hwang, H. K., Yeh, Y. N. Measures of distinctness for random partitions and compositions of an integer, Adv. Appl. Math. 19(1997), 378 { 414. http://citeseer.ist.psu.edu/article/hwang97measures.html More
@article{ hwang97measures,
author = "Hwang and Yeh",
title = "Measures of Distinctness for Random Partitions and Compositions of an Integer",
journal = "ADVAM: Advances in Applied Mathematics",
volume = "19",
year = "1997",
url = "citeseer.ist.psu.edu/article/hwang97measures.html" }
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