Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0647)

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=-1/2, b₁>=-11/2

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

http://functions.wolfram.com/07.25.03.0647.01

Input Form

HypergeometricPFQ[{-(11/2), -(1/2)}, {-(7/2), 11/2}, z] == (1/(34406400 z^4)) (E^z (-15280650 - 17099775 z - 13950090 z^2 - 12349260 z^3 + 10447080 z^4 - 9840 z^5 - 4320 z^6 - 3136 z^7 - 6784 z^8 + 512 z^9)) + (1/(68812800 z^(9/2))) (Sqrt[Pi] (15280650 + 27286875 z + 28066500 z^2 + 24948000 z^3 + 34927200 z^4 - 20956320 z^5 + 14080 z^9 - 1024 z^10) 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]