Application of basic hypergeometric series

Medhat A. Rakha, Essam S. El-Sedy

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

An extremely simple derivation of the formula for the expected number of nodes on level l in a random digital search tree, built from n random data was studied. Some concepts of basic hypergeometric series were used. The basic hypergeometric series has many significant applications in several areas of pure and applied mathematics including the theory of partitions, combinatorial identities, number theory and statistics.

Original languageEnglish
Pages (from-to)717-723
Number of pages7
JournalApplied Mathematics and Computation
Volume148
Issue number3
DOIs
Publication statusPublished - Jan 30 2004

Fingerprint

Number theory
Basic Hypergeometric Series
Statistics
Pure mathematics
Combinatorial Identities
Search Trees
Applied mathematics
Partition
Vertex of a graph
Concepts

Keywords

  • Hypergeometric series very well poised
  • q-series

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Application of basic hypergeometric series. / Rakha, Medhat A.; El-Sedy, Essam S.

In: Applied Mathematics and Computation, Vol. 148, No. 3, 30.01.2004, p. 717-723.

Research output: Contribution to journalArticle

Rakha, Medhat A. ; El-Sedy, Essam S. / Application of basic hypergeometric series. In: Applied Mathematics and Computation. 2004 ; Vol. 148, No. 3. pp. 717-723.
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