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

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=-7/2

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

Input Form

HypergeometricPFQ[{5/2, 5}, {-(7/2), -(7/2)}, -z] == (1/99225) (99225 - 101250 z + 170100 z^2 - 793800 z^3 + 34927200 z^4 - 1214516160 z^5 + 4141987200 z^6 - 4649143680 z^7 + 2386897920 z^8 - 647916000 z^9 + 99641856 z^10 - 8886000 z^11 + 450848 z^12 - 11968 z^13 + 128 z^14) - (1/99225) ((8 Sqrt[Pi] (26254800 z^(9/2) - 291189600 z^(11/2) + 721272600 z^(13/2) - 701327520 z^(15/2) + 333788130 z^(17/2) - 86725620 z^(19/2) + 12984225 z^(21/2) - 1138200 z^(23/2) + 57096 z^(25/2) - 1504 z^(27/2) + 16 z^(29/2)) 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]