Path Functions And Generalized Basic Hypergeometric Functions
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Path Functions and Generalized Basic Hypergeometric Functions
Author: Kevin W. J. Kadell
language: en
Publisher: American Mathematical Soc.
Release Date: 1987
Path functions and their basic properties are obtained by extending the constructive theory of partition generating functions developed by Sylvester, Durfee, Andrews and others. Path functions also arise when we have an expansion of a function satisfying a linear difference equation. Our expansions provide an interesting trade-off between complexity and rate of convergence.