Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2939)

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=6, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=6, b₁=3

http://functions.wolfram.com/07.25.03.2939.01

Input Form

HypergeometricPFQ[{-(11/2), 6}, {3, 11/2}, -z] == (1/(10066329600 z^4)) ((-1091475 - 3846150 z - 30436560 z^2 + 329646240 z^3 + 6624081120 z^4 + 8481389760 z^5 + 3522282240 z^6 + 608244224 z^7 + 44899584 z^8 + 1157632 z^9)/E^z) + (1/(20132659200 z^(9/2))) (Sqrt[Pi] (1091475 + 3118500 z + 28066500 z^2 - 349272000 z^3 + 3667356000 z^4 + 19363639680 z^5 + 19978358400 z^6 + 7610803200 z^7 + 1260230400 z^8 + 90956800 z^9 + 2315264 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]