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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=3/8, b>=a > For fixed z and a=3/8, b=37/8





http://functions.wolfram.com/07.23.03.bz6v.01









  


  










Input Form





Hypergeometric2F1[3/8, 37/8, -(11/2), z] == (1/(9146368 (1 - z)^(21/2))) (Sqrt[1 - z] (9146368 - 96920320 z + 468705888 z^2 - 1373200431 z^3 + 2746280715 z^4 - 4115754762 z^5 + 6190487030 z^6 - 1360982243 z^7 + 395999487 z^8 - 76539124 z^9 + 6970288 z^10) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (6859776 - 73690624 z + 361504836 z^2 - 1074985659 z^3 + 2182248695 z^4 - 3312829674 z^5 + 6825989634 z^6 - 1549850239 z^7 + 433397763 z^8 - 80024268 z^9 + 6970288 z^10) Sin[(3 ArcSin[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