Results of q-Hypergeometric and Related Functions

Notation

17.1 Special Notation

Properties

17.2 Calculus
17.3 ${\displaystyle{\displaystyle q}}$ -Elementary and ${\displaystyle{\displaystyle q}}$ -Special Functions
17.4 Basic Hypergeometric Functions
17.5 ${\displaystyle{\displaystyle{{}_{0}\phi_{0}},{{}_{1}\phi_{0}},{{}_{1}\phi_{1}}}}$ Functions
17.6 ${\displaystyle{\displaystyle{{}_{2}\phi_{1}}}}$ Function
17.7 Special Cases of Higher ${\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}$ Functions
17.8 Special Cases of ${\displaystyle{\displaystyle{{}_{r}\psi_{r}}}}$ Functions
17.9 Further Transformations of ${\displaystyle{\displaystyle{{}_{r+1}\phi_{r}}}}$ Functions
17.10 Transformations of ${\displaystyle{\displaystyle{{}_{r}\psi_{r}}}}$ Functions
17.11 Transformations of ${\displaystyle{\displaystyle q}}$ -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