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variants of this functions
Hypergeometric2F1Regularized






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Specific values > Specialized values > For fixed a, b, z





http://functions.wolfram.com/07.24.03.0092.01









  


  










Input Form





Hypergeometric2F1Regularized[a, b, a - b + 2, z] == ((1/(b - 1)) z^((b - a - 1)/2) (a LegendreP[-b, b - a - 1, 3, (1 + z)/(1 - z)] - Sqrt[z] LegendreP[-b, b - a, 3, (1 + z)/(1 - z)]))/(1 - z)^b /; !IntervalMemberQ[Interval[{-Infinity, 0}], z] && !IntervalMemberQ[Interval[{1, Infinity}], z]










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)





2001-10-29





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