Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ann6)

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.ann6.01

Input Form

HypergeometricPFQ[{11/2, 11/2}, {-(11/2), -(11/2)}, z] == (1/96496731725625) (96496731725625 E^z + 52417977727500 E^z z^2 + 85580371800000 E^z z^3 + 329484431430000 E^z z^4 + 3190436260704000 E^z z^5 + 259188714033480000 E^z z^6 + 19581227239343616000 E^z z^7 + 152528824051813440000 E^z z^8 + 395695450169800704000 E^z z^9 + 482575904989197465600 E^z z^10 + 326395813920067584000 E^z z^11 + 134642309359006310400 E^z z^12 + 35953447567048704000 E^z z^13 + 6457881448334131200 E^z z^14 + 799117019389624320 E^z z^15 + 68982044840755200 E^z z^16 + 4162328702484480 E^z z^17 + 173867787878400 E^z z^18 + 4901862113280 E^z z^19 + 88595234816 E^z z^20 + 922746880 E^z z^21 + 4194304 E^z z^22)

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]