Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2483)

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=5, b₁>=-11/2

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

http://functions.wolfram.com/07.25.03.2483.01

Input Form

HypergeometricPFQ[{-(11/2), 5}, {1/2, 6}, z] == -(360/(4199 z^5)) + (1/(16930368 z^5)) (E^z (1451520 - 1451520 z + 725760 z^2 - 241920 z^3 + 60480 z^4 + 16918272 z^5 - 88794237 z^6 + 72612696 z^7 - 19569888 z^8 + 2008448 z^9 - 67184 z^10)) + (1/33860736) (Sqrt[Pi] (-83329155 Sqrt[z] + 235030950 z^(3/2) - 162954792 z^(5/2) + 41081040 z^(7/2) - 4084080 z^(9/2) + 134368 z^(11/2)) 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]