Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.an2u)

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=6, b₁>=-11/2

For fixed z and a₁=9/2, a₂=6, b₁=-7/2

http://functions.wolfram.com/07.25.03.an2u.01

Input Form

HypergeometricPFQ[{9/2, 6}, {-(7/2), 7/2}, -z] == (1/44100) (44100 + 97200 z + 166320 z^2 + 349440 z^3 + 1814400 z^4 - 2682600 z^5 + 1179235 z^6 - 228696 z^7 + 21568 z^8 - 960 z^9 + 16 z^10) - (1/88200) ((Sqrt[Pi] z^(9/2) (5542680 - 6361485 z + 2567850 z^2 - 478040 z^3 + 44080 z^4 - 1936 z^5 + 32 z^6) 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]