Asymptotics for Morgan numbers of fractional orders

A. Kreinin; A. Vainshtein

doi:10.1016/0012-365X(95)00238-R

Asymptotics for Morgan numbers of fractional orders

Research output: Contribution to journal › Article › peer-review

Abstract

Morgan numbers of fractional orders are defined by the relation (equation presented) where k is an integer and n is a positive real number. Such numbers arose, quite unexpectedly, in our previous study of correlation properties of queueing lengths at arrival instants for multiphase queues with infinite number of channels in each phase. Here we consider asymptotics of these numbers and their relations to other combinatorial objects.

Original language	English
Pages (from-to)	301-308
Number of pages	8
Journal	Discrete Mathematics
Volume	161
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(95)00238-R
State	Published - 5 Dec 1996
Externally published	Yes

Keywords

Asymptotics
Combinatorial numbers
Integral representations

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/0012-365X(95)00238-R

Cite this

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abstract = "Morgan numbers of fractional orders are defined by the relation (equation presented) where k is an integer and n is a positive real number. Such numbers arose, quite unexpectedly, in our previous study of correlation properties of queueing lengths at arrival instants for multiphase queues with infinite number of channels in each phase. Here we consider asymptotics of these numbers and their relations to other combinatorial objects.",

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AB - Morgan numbers of fractional orders are defined by the relation (equation presented) where k is an integer and n is a positive real number. Such numbers arose, quite unexpectedly, in our previous study of correlation properties of queueing lengths at arrival instants for multiphase queues with infinite number of channels in each phase. Here we consider asymptotics of these numbers and their relations to other combinatorial objects.

KW - Asymptotics

KW - Combinatorial numbers

KW - Integral representations

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DO - 10.1016/0012-365X(95)00238-R

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JF - Discrete Mathematics

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Asymptotics for Morgan numbers of fractional orders

Abstract

Keywords

ASJC Scopus subject areas

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