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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=-37/8, b>=a > For fixed z and a=-37/8, b=39/8





http://functions.wolfram.com/07.23.03.bc6o.01









  


  










Input Form





Hypergeometric2F1[-(37/8), 39/8, -(17/4), z] == (1/(1163616 2^(1/4) (-1 + z)^4)) ((1 + Sqrt[1 - z])^(1/4) (581808 + 795708 z + 1319763 z^2 + 2884798 z^3 + 10183779 z^4 - 211201056 z^5 + 471102720 z^6 - 386445312 z^7 + 110297088 z^8 + (1/Sqrt[1 - z]) (581808 + 504804 z + 849183 z^2 + 2089090 z^3 + 8503951 z^4 + 517343292 z^5 - 2030983680 z^6 + 2910944256 z^7 - 1849098240 z^8 + 441188352 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