Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.b3lw)

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=4, b>=a

For fixed z and a=4, b=26/5

http://functions.wolfram.com/07.23.03.b3lw.01

Input Form

Hypergeometric2F1[4, 26/5, -(24/5), z] == (1/(1596 (1 - z)^4 (-1 + z)^10)) (1596 - 29260 z + 270270 z^2 - 1750320 z^3 + 9869860 z^4 - 71062992 z^5 - 1125164040 z^6 - 1500218720 z^7 - 460294380 z^8 - 25571910 z^9 + 121771 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]