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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=43/8, b>=a > For fixed z and a=43/8, b=47/8





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









  


  










Input Form





Hypergeometric2F1[43/8, 47/8, -(9/2), -z] == (1/(64512 (1 + z)^(123/8))) ((64512 + 1426432 z + 16530516 z^2 + 142859787 z^3 + 1205709869 z^4 + 18662626983 z^5 - 123966468951 z^6 + 159485520257 z^7 - 58702391769 z^8 + 5525515917 z^9 - 60896913 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (48384 + 1062768 z + 12244517 z^2 + 105393939 z^3 + 889305417 z^4 - 63311311297 z^5 + 165519538191 z^6 - 113007527367 z^7 + 21838154947 z^8 - 853728699 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