Gauss hypergeometric function 2F1: Specific values (subsection 03/09/23)

Hypergeometric2F1

$Mathematica Notation$

Hypergeometric Functions

Hypergeometric2F1[a,b,c,z]

Specific values

For rational parameters with denominators 4 and fixed z

For fixed z and a=5/4, b>=a

For fixed z and a=5/4, b=5/4

For fixed z and a=5/4, b=3/2

For fixed z and a=5/4, b=7/4

For fixed z and a=5/4, b=2

For fixed z and a=5/4, b=9/4

For fixed z and a=5/4, b=5/2

For fixed z and a=5/4, b=11/4

For fixed z and a=5/4, b=3

For fixed z and a=5/4, b=13/4

For fixed z and a=5/4, b=7/2

For fixed z and a=5/4, b=15/4

For fixed z and a=5/4, b=4

For fixed z and a=5/4, b=17/4

For fixed z and a=5/4, b=9/2

For fixed z and a=5/4, b=19/4

For fixed z and a=5/4, b=5

For fixed z and a=5/4, b=21/4

For fixed z and a=5/4, b=11/2

For fixed z and a=5/4, b=23/4

For fixed z and a=5/4, b=6

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]