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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 3 and fixed z > For fixed z and a=-5/3, b>=a > For fixed z and a=-5/3, b=17/3





http://functions.wolfram.com/07.23.03.6841.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 17/3, -(9/2), z] == (1/(5878656 (-1 + z)^8)) ((1/Sqrt[1 - z]) ((5878656 - 37957248 z + 92328192 z^2 - 86375936 z^3 - 13069056 z^4 - 45239040 z^5 + 141084411 z^6 - 162603164 z^7 + 98962032 z^8 - 31852288 z^9 + 4299776 z^10) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (1959552 - 11273472 z + 22993408 z^2 - 13404160 z^3 - 12398848 z^4 + 88115471 z^5 - 123723076 z^6 + 84648304 z^7 - 29702400 z^8 + 4299776 z^9) Sin[ArcSin[Sqrt[z]]/3])








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