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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=19/8, b>=a > For fixed z and a=19/8, b=39/8





http://functions.wolfram.com/07.23.03.c7ha.01









  


  








Input Form





Hypergeometric2F1[19/8, 39/8, -(9/2), -z] == (1/(21504 (1 + z)^(91/8))) ((21504 + 293888 z + 1974940 z^2 + 9120089 z^3 + 36991317 z^4 + 240956298 z^5 - 415165434 z^6 + 61060285 z^7 + 2533817 z^8 + 107536 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (16128 + 218064 z + 1449943 z^2 + 6635651 z^3 + 26820970 z^4 - 437236394 z^5 + 224704283 z^6 - 1888601 z^7 - 80652 z^8) Sin[(3 ArcTan[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