Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.b4ja)

Hypergeometric2F1

$Mathematica Notation$

Hypergeometric Functions

Hypergeometric2F1[a,b,c,z]

Specific values

For rational parameters with denominators 5 and fixed z

For fixed z and a=29/5, b>=a

For fixed z and a=29/5, b=6

http://functions.wolfram.com/07.23.03.b4ja.01

Input Form

Hypergeometric2F1[29/5, 6, -(21/5), z] == -((1/(11704 (-1 + z)^16)) (-11704 + 284240 z - 3677355 z^2 + 36550680 z^3 - 383782140 z^4 + 14276695608 z^5 + 77332101210 z^6 + 103109468280 z^7 + 44189772120 z^8 + 5685233840 z^9 + 142130846 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]