Gauss hypergeometric function 2F1: Specific values (formula 07.23.03.b3wf)

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=22/5, b>=a

For fixed z and a=22/5, b=5

http://functions.wolfram.com/07.23.03.b3wf.01

Input Form

Hypergeometric2F1[22/5, 5, -(28/5), z] == -((1/(71162 (-1 + z)^15)) (71162 - 1346995 z + 12650040 z^2 - 80585440 z^3 + 412225520 z^4 - 2040516324 z^5 + 15870682520 z^6 + 104293056560 z^7 + 100568304540 z^8 + 24210888130 z^9 + 1139335912 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]