Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.4916)

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=-9/2, a₂>=-9/2

For fixed z and a₁=-9/2, a₂=4, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=4, b₁=5/2

http://functions.wolfram.com/07.25.03.4916.01

Input Form

HypergeometricPFQ[{-(9/2), 4}, {5/2, 6}, z] == (72 (20 + 19 z))/(46189 z^5) + (1/(88682880 z^5)) (E^z (-2764800 + 138240 z + 1244160 z^2 - 852480 z^3 - 5912955 z^4 + 51183390 z^5 - 36765192 z^6 + 8579472 z^7 - 771056 z^8 + 22880 z^9)) + (1/(177365760 z^(3/2))) (Sqrt[Pi] (6235515 + 41570100 z - 132268500 z^2 + 81396000 z^3 - 17907120 z^4 + 1564992 z^5 - 45760 z^6) Erfi[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]