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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=-13/8, b>=a > For fixed z and a=-13/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 47/8, -(9/2), -z] == (1/(1999872 (1 + z)^(67/8))) (4 (499968 + 2985920 z + 6429183 z^2 + 4282278 z^3 - 3353952 z^4 + 6079038 z^5 + 24761385 z^6 + 31076836 z^7 + 20016864 z^8 + 6741504 z^9 + 946176 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-1499904 - 8739024 z - 18063235 z^2 - 10481100 z^3 + 11109966 z^4 + 63444452 z^5 + 85498077 z^6 + 57256416 z^7 + 19810560 z^8 + 2838528 z^9) Sin[(3 ArcTan[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