Application of basic hypergeometric series

Medhat A. Rakha*, Essam S. El-Sedy

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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
Issue number3
Publication statusPublished - Jan 30 2004


  • Hypergeometric series very well poised
  • q-series

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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