Results of q-Hypergeometric and Related Functions

Notation

17.1 Special Notation

Properties

17.2 Calculus
17.3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q} -Elementary and Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q} -Special Functions
17.4 Basic Hypergeometric Functions
17.5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{0}{0},\qgenhyperphi{1}{0},\qgenhyperphi{1}{1}} Functions
17.6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{2}{1}} Function
17.7 Special Cases of Higher Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{r}{s}} Functions
17.8 Special Cases of Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperpsi{r}{r}} Functions
17.9 Further Transformations of Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{r+1}{r}} Functions
17.10 Transformations of Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperpsi{r}{r}} Functions
17.11 Transformations of Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q} -Appell Functions
17.12 Bailey Pairs
17.13 Integrals
17.14 Constant Term Identities
17.15 Generalizations

Applications

17.16 Mathematical Applications
17.17 Physical Applications

Computation

17.18 Methods of Computation
17.19 Software