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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=-39/8, b>=a > For fixed z and a=-39/8, b=15/8





http://functions.wolfram.com/07.23.03.ba9t.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 15/8, 11/2, -z] == (1/(9059030805 z^(9/2) Sqrt[1 + z])) (1024 (Sqrt[z] Sqrt[1 + z] (-45632 - 313720 z - 826367 z^2 - 778596 z^3 + 10006774 z^4 + 17938652 z^5 + 16217025 z^6 + 8499656 z^7 + 2464528 z^8 + 307648 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - (-182528 - 1380368 z - 4153225 z^2 - 5291173 z^3 + 2725086 z^4 + 17392342 z^5 + 25126723 z^6 + 20178015 z^7 + 9693464 z^8 + 2618352 z^9 + 307648 z^10) Sinh[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