Gauss hypergeometric function 2F1: Specific values (subsection 03/13/04)

Hypergeometric2F1

$Mathematica Notation$

Hypergeometric Functions

Hypergeometric2F1[a,b,c,z]

Specific values

For rational parameters with denominators 8 and fixed z and a>0

For fixed z and a=1/2, b>=a

For fixed z and a=1/2, b=5/8

For fixed z and a=1/2, b=7/8

For fixed z and a=1/2, b=9/8

For fixed z and a=1/2, b=11/8

For fixed z and a=1/2, b=13/8

For fixed z and a=1/2, b=15/8

For fixed z and a=1/2, b=17/8

For fixed z and a=1/2, b=19/8

For fixed z and a=1/2, b=21/8

For fixed z and a=1/2, b=23/8

For fixed z and a=1/2, b=25/8

For fixed z and a=1/2, b=27/8

For fixed z and a=1/2, b=29/8

For fixed z and a=1/2, b=31/8

For fixed z and a=1/2, b=33/8

For fixed z and a=1/2, b=35/8

For fixed z and a=1/2, b=37/8

For fixed z and a=1/2, b=39/8

For fixed z and a=1/2, b=41/8

For fixed z and a=1/2, b=43/8

For fixed z and a=1/2, b=45/8

For fixed z and a=1/2, b=47/8

HypergeometricPFQ[{},{},z]
HypergeometricPFQ[{},{b},z]
HypergeometricPFQ[{a},{},z]
HypergeometricPFQ[{a},{b},z]
HypergeometricPFQ[{a₁},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅},{b₁,b₂,b₃,b₄},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅,a₆},{b₁,b₂,b₃,b₄,b₅},z]
HypergeometricPFQ[{a₁,...,a_p},{b₁,...,b_q},z]