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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=-11/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), -(11/8), 11/2, -z] == (1024 (4 Sqrt[z] Sqrt[1 + z] (360528 + 5495906 z + 43354565 z^2 + 265374360 z^3 + 5943585313 z^4 - 12397150640 z^5 + 3348452631 z^6 + 135384440 z^7 + 11427251 z^8 + 603198 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1922816 + 30953904 z + 256196991 z^2 + 1611888498 z^3 + 13707644745 z^4 - 27889309452 z^5 - 27072803079 z^6 + 13659016578 z^7 + 564090663 z^8 + 46915400 z^9 + 2412792 z^10) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/(14740357736195 z^(9/2) Sqrt[1 + z])








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