Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2769)

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=11/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=11/2, b₁=7/2

http://functions.wolfram.com/07.25.03.2769.01

Input Form

HypergeometricPFQ[{-(11/2), 11/2}, {7/2, 6}, z] == (1/(6416344935 z^3)) (32 E^(z/2) (83160 - 114345 z + 395010 z^2 + 202771800 z^3 - 379542240 z^4 + 236409264 z^5 - 64182048 z^6 + 8215104 z^7 - 480768 z^8 + 10240 z^9) BesselI[0, z/2]) - (1/(6416344935 z^4)) (32 E^(z/2) (332640 - 457380 z + 1590435 z^2 + 9029790 z^3 + 38225880 z^4 - 218270304 z^5 + 183188208 z^6 - 56657376 z^7 + 7749696 z^8 - 470528 z^9 + 10240 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]