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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 21/8, 9/2, z] == (1/(198843645 z^(7/2))) (256 ((-Sqrt[z]) (51504 - 142709 z - 52577 z^2 - 983231 z^3 + 3383781 z^4 - 4828512 z^5 + 3624672 z^6 - 1416576 z^7 + 228480 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) (4 (-17168 + 62234 z - 22533 z^2 + 52577 z^3 - 562253 z^4 + 1356141 z^5 - 1619514 z^6 + 1076100 z^7 - 382704 z^8 + 57120 z^9) Sin[(3 ArcSin[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