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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=-5/8, b>=a > For fixed z and a=-5/8, b=45/8





http://functions.wolfram.com/07.23.03.bv99.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 45/8, -(7/2), -z] == (1/(1922816 (1 + z)^(17/2))) ((-Sqrt[1 + z]) (-1922816 - 13991920 z - 41056199 z^2 - 53207924 z^3 + 31441046 z^4 + 74735188 z^5 + 73112745 z^6 + 40313112 z^7 + 12180432 z^8 + 1576512 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-1442112 - 10704248 z - 32191073 z^2 - 43533756 z^3 + 61756426 z^4 + 106952116 z^5 + 91845279 z^6 + 46206264 z^7 + 12968688 z^8 + 1576512 z^9) 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