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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=19/8, b>=a > For fixed z and a=19/8, b=45/8





http://functions.wolfram.com/07.23.03.c7lu.01









  


  










Input Form





Hypergeometric2F1[19/8, 45/8, -(9/2), -z] == (1/(7691264 (1 + z)^(25/2))) (4 Sqrt[1 + z] (1922816 + 29322944 z + 221579865 z^2 + 1157523429 z^3 + 5304123345 z^4 + 37941132999 z^5 - 102340733459 z^6 + 28566284395 z^7 + 991959111 z^8 + 75567305 z^9 + 3686210 z^10) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (5768448 + 88810064 z + 677042613 z^2 + 3561868566 z^3 + 16363630915 z^4 + 277808920812 z^5 - 495662443629 z^6 + 116212193702 z^7 + 4117127949 z^8 + 309641640 z^9 + 14744840 z^10) 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