Gauss hypergeometric function 2F1: Specific values (subsection 03/10/25)

Hypergeometric2F1

$Mathematica Notation$

Hypergeometric Functions

Hypergeometric2F1[a,b,c,z]

Specific values

For rational parameters with denominators 5 and fixed z

For fixed z and a=1/5, b>=a

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

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

For fixed z and a=1/5, b=3/5

For fixed z and a=1/5, b=4/5

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

For fixed z and a=1/5, b=6/5

For fixed z and a=1/5, b=7/5

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

For fixed z and a=1/5, b=9/5

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

For fixed z and a=1/5, b=11/5

For fixed z and a=1/5, b=12/5

For fixed z and a=1/5, b=13/5

For fixed z and a=1/5, b=14/5

For fixed z and a=1/5, b=3

For fixed z and a=1/5, b=16/5

For fixed z and a=1/5, b=17/5

For fixed z and a=1/5, b=18/5

For fixed z and a=1/5, b=19/5

For fixed z and a=1/5, b=4

For fixed z and a=1/5, b=21/5

For fixed z and a=1/5, b=22/5

For fixed z and a=1/5, b=23/5

For fixed z and a=1/5, b=24/5

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

For fixed z and a=1/5, b=26/5

For fixed z and a=1/5, b=27/5

For fixed z and a=1/5, b=28/5

For fixed z and a=1/5, b=29/5

For fixed z and a=1/5, 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]