Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2530)

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=5/2

http://functions.wolfram.com/07.25.03.2530.01

Input Form

HypergeometricPFQ[{-(11/2), 5}, {5/2, 6}, z] == -(120/(29393 z^5)) + (1/(3792402432 z^5)) (E^z (15482880 - 15482880 z + 7741440 z^2 - 2580480 z^3 - 130300695 z^4 + 2453716188 z^5 - 2829818964 z^6 + 1062486048 z^7 - 167024208 z^8 + 11301056 z^9 - 268736 z^10)) + (1/(7584804864 z^(3/2))) (Sqrt[Pi] (130945815 + 1425854430 z - 6999649020 z^2 + 6580866600 z^3 - 2281367088 z^4 + 345080736 z^5 - 22870848 z^6 + 537472 z^7) 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]