Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ajh6)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]

Specific values

For integer and half-integer parameters and fixed z

For fixed z and a₁=5/2, a₂>=5/2

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

For fixed z and a₁=5/2, a₂=5, b₁=-9/2

http://functions.wolfram.com/07.25.03.ajh6.01

Input Form

HypergeometricPFQ[{5/2, 5}, {-(9/2), 7/2}, z] == (1/(2268 z^2)) (-45360 + 15120 z - 2268 z^2 - 720 z^3 + 990 z^4 - 882 z^5 + 1029 z^6 - 3225 z^7 - 1614 z^8 - 212 z^9 - 8 z^10) + (1/(4536 z^(5/2))) (E^z Sqrt[Pi] (45360 - 45360 z + 22680 z^2 - 7560 z^3 + 1890 z^4 - 378 z^5 + 63 z^6 - 9 z^7 - 7872 z^8 - 3432 z^9 - 432 z^10 - 16 z^11) Erf[Sqrt[z]])

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2007-05-02

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,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]