Generalized hypergeometric function 2F2: Specific values

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]

Specific values

Values at z==0

Specialized values

For fixed a₁, a₂, b₁, z

For fixed a₁, a₂, b₂, z

For fixed a₁, a₂, z

For fixed a₂, b₂, z

For fixed a₁, z

For fixed a₂, z

For integer and half-integer parameters and fixed z

For fixed z and a₁=-11/2, a₂>=-11/2

For fixed z and a₁=-11/2, a₂=-11/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=-11/2, b₁=-11/2

For fixed z and a₁=-11/2, a₂=-9/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=-9/2, b₁=-11/2

For fixed z and a₁=-11/2, a₂=-9/2, b₁=-9/2

For fixed z and a₁=-11/2, a₂=-7/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=-7/2, b₁=-11/2

For fixed z and a₁=-11/2, a₂=-7/2, b₁=-9/2

For fixed z and a₁=-11/2, a₂=-7/2, b₁=-7/2

For fixed z and a₁=-11/2, a₂=-5/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=-5/2, b₁=-11/2

For fixed z and a₁=-11/2, a₂=-5/2, b₁=-9/2

For fixed z and a₁=-11/2, a₂=-5/2, b₁=-7/2

For fixed z and a₁=-11/2, a₂=-5/2, b₁=-5/2

For fixed z and a₁=-11/2, a₂=-3/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=-3/2, b₁=-11/2

For fixed z and a₁=-11/2, a₂=-3/2, b₁=-9/2

For fixed z and a₁=-11/2, a₂=-3/2, b₁=-7/2

For fixed z and a₁=-11/2, a₂=-3/2, b₁=-5/2

For fixed z and a₁=-11/2, a₂=-3/2, b₁=-3/2

For fixed z and a₁=-11/2, a₂=-1/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=-1/2, b₁=-11/2

For fixed z and a₁=-11/2, a₂=-1/2, b₁=-9/2

For fixed z and a₁=-11/2, a₂=-1/2, b₁=-7/2

For fixed z and a₁=-11/2, a₂=-1/2, b₁=-5/2

For fixed z and a₁=-11/2, a₂=-1/2, b₁=-3/2

For fixed z and a₁=-11/2, a₂=-1/2, b₁=-1/2

For fixed z and a₁=-11/2, a₂=1/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=1/2, b₁=-11/2

For fixed z and a₁=-11/2, a₂=1/2, b₁=-9/2

For fixed z and a₁=-11/2, a₂=1/2, b₁=-7/2

For fixed z and a₁=-11/2, a₂=1/2, b₁=-5/2

For fixed z and a₁=-11/2, a₂=1/2, b₁=-3/2

For fixed z and a₁=-11/2, a₂=1/2, b₁=-1/2

For fixed z and a₁=-11/2, a₂=1/2, b₁=1/2

For fixed z and a₁=-11/2, a₂=1, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=1, b₁=-11/2

For fixed z and a₁=-11/2, a₂=1, b₁=-9/2

For fixed z and a₁=-11/2, a₂=1, b₁=-7/2

For fixed z and a₁=-11/2, a₂=1, b₁=-5/2

For fixed z and a₁=-11/2, a₂=1, b₁=-3/2