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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=-29/8, b>=a > For fixed z and a=-29/8, b=39/8





http://functions.wolfram.com/07.23.03.bh5x.01









  


  










Input Form





Hypergeometric2F1[-(29/8), 39/8, -(17/4), z] == (1/(1163616 2^(1/4) (-1 + z)^5)) ((1 + Sqrt[1 - z])^(1/4) (-581808 + 453468 z + 554001 z^2 + 862730 z^3 + 2099785 z^4 - 26906256 z^5 + 47853696 z^6 - 32913408 z^7 + 8110080 z^8 + (1/Sqrt[1 - z]) (-581808 + 744372 z + 399993 z^2 + 565409 z^3 + 1593555 z^4 + 71105839 z^5 - 229706016 z^6 + 279265536 z^7 - 153956352 z^8 + 32440320 z^9)))










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