Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0549)

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=-3/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=-3/2, b₁=-5/2

http://functions.wolfram.com/07.25.03.0549.01

Input Form

HypergeometricPFQ[{-(11/2), -(3/2)}, {-(5/2), 6}, z] == -((1/(1527701175 z^3)) (32 E^(z/2) (-1247400 - 2214135 z - 2577960 z^2 - 50644440 z^3 + 45405360 z^4 - 9876720 z^5 - 149184 z^6 + 225216 z^7 - 20096 z^8 + 512 z^9) BesselI[0, z/2])) + (1/(1527701175 z^4)) (32 E^(z/2) (-4989600 - 8856540 z - 10467765 z^2 - 11891880 z^3 - 19209960 z^4 + 35836080 z^5 - 9744336 z^6 + 47424 z^7 + 205888 z^8 - 19584 z^9 + 512 z^10) BesselI[1, z/2])

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]