Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.al8v)

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=7/2, a₂>=7/2

For fixed z and a₁=7/2, a₂=9/2, b₁>=-11/2

For fixed z and a₁=7/2, a₂=9/2, b₁=-11/2

http://functions.wolfram.com/07.25.03.al8v.01

Input Form

HypergeometricPFQ[{7/2, 9/2}, {-(11/2), -(7/2)}, z] == (1/1719073125) (E^z (1719073125 - 312558750 z + 1000188000 z^2 + 2381400000 z^3 + 31339224000 z^4 - 614782224000 z^5 + 11043853632000 z^6 + 108333251712000 z^7 + 228586712256000 z^8 + 201470713113600 z^9 + 91798756761600 z^10 + 23982542438400 z^11 + 3793317642240 z^12 + 371984793600 z^13 + 22556835840 z^14 + 816578560 z^15 + 16056320 z^16 + 131072 z^17))

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]