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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=9/8, b>=a > For fixed z and a=9/8, b=47/8





http://functions.wolfram.com/07.23.03.c2uf.01









  


  










Input Form





Hypergeometric2F1[9/8, 47/8, -(11/2), z] == (1/(32124928 (1 - z)^(25/2))) (Sqrt[1 - z] (32124928 - 425107712 z + 2659090720 z^2 - 10592770773 z^3 + 31134589538 z^4 - 78981510491 z^5 + 285350169208 z^6 + 134774127445 z^7 - 25630062134 z^8 + 5101774859 z^9 - 718141732 z^10 + 50044720 z^11) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (8031232 - 108786688 z + 696917572 z^2 - 2842440809 z^3 + 8530724150 z^4 - 21872272487 z^5 + 1262943614572 z^6 + 146994365641 z^7 - 28094309642 z^8 + 5454590135 z^9 - 743164092 z^10 + 50044720 z^11) 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