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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=-21/8, b>=a > For fixed z and a=-21/8, b=13/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 13/8, 11/2, -z] == (1/(117266765 z^(9/2) Sqrt[1 + z])) (1024 (Sqrt[z] Sqrt[1 + z] (-17472 - 100984 z - 227955 z^2 - 219765 z^3 + 186323 z^4 + 197409 z^5 + 85284 z^6 + 14352 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (23296 + 154544 z + 418171 z^2 + 548548 z^3 + 146510 z^4 - 275264 z^5 - 238257 z^6 - 92460 z^7 - 14352 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