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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=15/8, b>=a > For fixed z and a=15/8, b=27/8





http://functions.wolfram.com/07.23.03.c5a2.01









  


  










Input Form





Hypergeometric2F1[15/8, 27/8, -(21/4), z] == (99008 - 1127984 z + 6028152 z^2 - 20430899 z^3 + 51492035 z^4 - 118378974 z^5 + 647372782 z^6 + 303440945 z^7 + 512295 z^8 + (1/Sqrt[1 - z]) (99008 - 1177488 z + 6579768 z^2 - 23310165 z^3 + 61020597 z^4 - 141906534 z^5 + 701196034 z^6 + 528682095 z^7 + 28176225 z^8 - 683060 z^9))/(99008 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^10)










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