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

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=1, b>=a

For fixed z and a=1, b=26/5

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

Input Form

Hypergeometric2F1[1, 26/5, -(29/5), z] == (1/(92568 (1 - z) (-1 + z)^11)) (-92568 + 1193808 z - 7212590 z^2 + 27331920 z^3 - 74186640 z^4 + 161562016 z^5 - 363514536 z^6 - 1038612960 z^7 + 86551080 z^8 - 15736560 z^9 + 2163777 z^10 - 149872 z^11)

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]