Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.ce0t)

Hypergeometric2F1

$Mathematica Notation$

Hypergeometric Functions

Hypergeometric2F1[a,b,c,z]

Specific values

For rational parameters with denominators 8 and fixed z and a>0

For fixed z and a=45/8, b>=a

For fixed z and a=45/8, b=6

http://functions.wolfram.com/07.23.03.ce0t.01

Input Form

Hypergeometric2F1[45/8, 6, -(35/8), z] == -((1/(61222161 (-1 + z)^16)) (-61222161 + 1451839818 z - 18147997725 z^2 + 170654855800 z^3 - 1601828532850 z^4 + 32677302070140 z^5 + 234187331502670 z^6 + 360288202311800 z^7 + 173710383257475 z^8 + 25291166911050 z^9 + 751899556815 z^10))

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,b₂},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]