Application of basic hypergeometric series.
type: Item
instance of: scholarly article
title: Application of basic hypergeometric series.
zbMATH Open document ID: 1034.33010
DOI: 10.1016/S0096-3003(02)00930-X
author: Medhat A. Rakha
author: Essam S. El-Sedy
published in: Applied Mathematics and Computation
publication date: 2004-01-26T00:00:00Z
review text: The study of the average search costs in a digital search tree built from \(n\) random data relies on the explicit expression of the polynomial \(H_{n}(u)\), of degree \(n\) in \(u\), which has as the coefficient of \(u^{k}\) the expected number of nodes on this level. Using some results from the theory of \(q\)-hypergeometric functions the authors derive this explicit formula. Some background material from the theory of basic hypergeometric functions is also provided.
reviewed by: Stamatis Koumandos
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 33D90
zbMATH DE Number: 2032658
zbMATH Keywords: Basic hypergeometric functions
MaRDI profile type: Publication
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full work available at URL: s0096-3003(02)00930-x
OpenAlex ID: W2084868801
description: scientific article; zbMATH DE number 2032658