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16 Generalized Hypergeometric Functions & Meijer G-FunctionGeneralized Hypergeometric Functions

§16.6 Transformations of Variable

Quadratic

Cubic

16.6.2 F23(a,2b-a-1,2-2b+ab,a-b+32;z4)=(1-z)-aF23(13a,13a+13,13a+23b,a-b+32;-27z4(1-z)3).

For Kummer-type transformations of F22 functions see Miller (2003) and Paris (2005a), and for further transformations see Erdélyi et al. (1953a, §4.5), Miller and Paris (2011), Choi and Rathie (2013) and Wang and Rathie (2013).