Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1024)

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=-11/2, a₂>=-11/2

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

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

http://functions.wolfram.com/07.25.03.1024.01

Input Form

HypergeometricPFQ[{-(11/2), 1}, {5/2, 6}, z] == (-120 - 504 z - 1596 z^2 - 9044 z^3 + 33915 z^4)/(29393 z^5) + (1/(148140720 z^5)) (E^z (604800 + 1935360 z + 5806080 z^2 + 38707200 z^3 - 81943785 z^4 + 49632660 z^5 - 13386828 z^6 + 1835616 z^7 - 131760 z^8 + 4672 z^9 - 64 z^10)) + (1/(296281440 z^(3/2))) (Sqrt[Pi] (-130945815 + 203693490 z - 111105540 z^2 + 28488600 z^3 - 3798480 z^4 + 268128 z^5 - 9408 z^6 + 128 z^7) 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]