Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.anna)

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=-11/2

http://functions.wolfram.com/07.25.03.anna.01

Input Form

HypergeometricPFQ[{11/2, 11/2}, {-(11/2), -(3/2)}, z] == (1/27848984625) (E^z (27848984625 + 74263959000 z + 870538630500 z^2 - 11184387984000 z^3 + 60212746440000 z^4 - 292919058432000 z^5 + 2765215762848000 z^6 + 18368566546176000 z^7 + 30003797621952000 z^8 + 22307292919296000 z^9 + 9131137183365120 z^10 + 2256729376849920 z^11 + 354056198307840 z^12 + 36160823623680 z^13 + 2418116198400 z^14 + 104342224896 z^15 + 2781413376 z^16 + 41418752 z^17 + 262144 z^18))

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]