Generalized hypergeometric function 3F2: Specific values (subsection 03/08/03)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,a₂,a₃},{b₁,b₂},z]

Specific values

For integer and half-integer parameters and fixed z

For fixed z and a₁=-3/2, a₂>=-3/2 (6307 formulas)
		For fixed z and a₁=-3/2, a₂=-3/2, a₃>=-3/2 (1122 formulas)
		For fixed z and a₁=-3/2, a₂=-1/2, a₃>=-1/2 (1014 formulas)
		For fixed z and a₁=-3/2, a₂=1/2, a₃>=1/2 (898 formulas)
		For fixed z and a₁=-3/2, a₂=1, a₃>=1 (844 formulas)
		For fixed z and a₁=-3/2, a₂=3/2, a₃>=3/2 (667 formulas)
		For fixed z and a₁=-3/2, a₂=2, a₃>=2 (608 formulas)
		For fixed z and a₁=-3/2, a₂=5/2, a₃>=5/2 (437 formulas)
		For fixed z and a₁=-3/2, a₂=3, a₃>=3 (370 formulas)
		For fixed z and a₁=-3/2, a₂=7/2, a₃>=7/2 (213 formulas)
		For fixed z and a₁=-3/2, a₂=4, a₃>=4 (134 formulas)

HypergeometricPFQ[{},{},z]
HypergeometricPFQ[{},{b},z]
HypergeometricPFQ[{a},{},z]
HypergeometricPFQ[{a},{b},z]
HypergeometricPFQ[{a₁},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂},{b₁},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂,b₃},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]

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