Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2553)

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=4

http://functions.wolfram.com/07.25.03.2553.01

Input Form

HypergeometricPFQ[{-(11/2), 5}, {4, 11/2}, -z] == (1/(503316480 z^4)) ((1091475 + 3846150 z - 14469840 z^2 + 39584160 z^3 + 287855520 z^4 + 227119680 z^5 + 65253120 z^6 + 8321536 z^7 + 473856 z^8 + 9728 z^9)/E^z) + (1/(1006632960 z^(9/2))) (Sqrt[Pi] (-1091475 - 3118500 z + 16839900 z^2 - 49896000 z^3 + 244490400 z^4 + 754427520 z^5 + 512265600 z^6 + 138378240 z^7 + 17107200 z^8 + 957440 z^9 + 19456 z^10) Erf[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]