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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=-5/8, b>=a > For fixed z and a=-5/8, b=31/8





http://functions.wolfram.com/07.23.03.buz4.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 31/8, -(17/4), z] == (1/(37536 2^(1/4) (-1 + z)^7)) ((1 + Sqrt[1 - z])^(1/4) (-18768 + 119508 z - 309189 z^2 + 390655 z^3 - 163415 z^4 + 181569 z^5 - 78184 z^6 + 12992 z^7 + (1/Sqrt[1 - z]) (-18768 + 128892 z - 366597 z^2 + 531484 z^3 - 326830 z^4 - 1129376 z^5 + 937019 z^6 - 348464 z^7 + 51968 z^8)))








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