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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-15/8, b>=a > For fixed z and a=-15/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 39/8, -(9/2), -z] == (1/(2190336 (1 + z)^(15/2))) (Sqrt[1 + z] (2190336 + 10951680 z + 18438180 z^2 + 6942481 z^3 - 7202013 z^4 + 20308379 z^5 + 57777005 z^6 + 54277080 z^7 + 23518352 z^8 + 3999424 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (547584 + 2909040 z + 5392419 z^2 + 2854852 z^3 - 1686958 z^4 + 43725916 z^5 + 82225715 z^6 + 65536328 z^7 + 25518064 z^8 + 3999424 z^9) Sinh[ArcSinh[Sqrt[z]]/4])








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