# 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 language English 717-723 7 Applied Mathematics and Computation 148 3 https://doi.org/10.1016/S0096-3003(02)00930-X Published - 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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