Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.b474)

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=24/5, b>=a

For fixed z and a=24/5, b=6

http://functions.wolfram.com/07.23.03.b474.01

Input Form

Hypergeometric2F1[24/5, 6, -(26/5), z] == (1/(5434 (-1 + z)^16)) (5434 - 117040 z + 1279080 z^2 - 9806280 z^3 + 63963690 z^4 - 460538568 z^5 + 11897246340 z^6 + 44189772120 z^7 + 38666050605 z^8 + 9819949360 z^9 + 568523384 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]