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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=-47/8, b>=a > For fixed z and a=-47/8, b=47/8





http://functions.wolfram.com/07.23.03.b5td.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 47/8, 9/2, z] == (1/(7411934295 z^(7/2))) (256 (Sqrt[z] (752 + 6815 z + 64202 z^2 + 30320599 z^3 - 246016104 z^4 + 785983032 z^5 - 1291392000 z^6 + 1162296576 z^7 - 546674688 z^8 + 105412608 z^9) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) (4 (-752 - 6298 z - 59455 z^2 - 1323003 z^3 + 25794229 z^4 - 132938763 z^5 + 329110362 z^6 - 452698560 z^7 + 355614336 z^8 - 149845248 z^9 + 26353152 z^10) Sin[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