Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.af0p)

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=1, a₂>=1

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

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

http://functions.wolfram.com/07.25.03.af0p.01

Input Form

HypergeometricPFQ[{1, 7/2}, {-(11/2), -(7/2)}, -z] == (1/16372125) (16372125 - 2976750 z + 1190700 z^2 - 1247400 z^3 + 6486480 z^4 + 64864800 z^5 + 735134400 z^6 - 2614308480 z^7 + 2255904000 z^8 - 803163648 z^9 + 138685440 z^10 - 12134400 z^11 + 512000 z^12 - 8192 z^13) + (1/16372125) ((8192 Sqrt[Pi] (-181440 z^(13/2) + 423360 z^(15/2) - 317520 z^(17/2) + 105840 z^(19/2) - 17640 z^(21/2) + 1512 z^(23/2) - 63 z^(25/2) + z^(27/2)) Erfi[Sqrt[z]])/E^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]