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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=11/8, b>=a > For fixed z and a=11/8, b=37/8





http://functions.wolfram.com/07.23.03.c3o5.01









  


  










Input Form





Hypergeometric2F1[11/8, 37/8, -(7/2), -z] == (1/(51968 (1 + z)^(19/2))) ((-Sqrt[1 + z]) (-51968 - 576752 z - 3126867 z^2 - 12081748 z^3 - 58710442 z^4 + 65290836 z^5 + 4829149 z^6 + 655960 z^7 + 51336 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 4 Sqrt[z] (-9744 - 109562 z - 601170 z^2 - 2341605 z^3 - 22829398 z^4 + 16906656 z^5 + 1287678 z^6 + 170407 z^7 + 12834 z^8) Sinh[(3 ArcSinh[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