Application of basic hypergeometric series
Copyright policy )Application of basic hypergeometric series
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.
- King’s University United States
- Sultan Qaboos University Oman
Basic hypergeometric functions, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Applications of basic hypergeometric functions
Basic hypergeometric functions, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Applications of basic hypergeometric functions
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