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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=43/8





http://functions.wolfram.com/07.23.03.c5l2.01









  


  








Input Form





Hypergeometric2F1[15/8, 43/8, -(7/2), -z] == (1/(1792 (1 + z)^(79/8))) ((1792 + 20112 z + 115927 z^2 + 541772 z^3 + 4464306 z^4 - 3350732 z^5 - 285649 z^6 - 36120 z^7 - 2752 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (3136 + 37352 z + 228417 z^2 + 1103564 z^3 - 5725522 z^4 + 545412 z^5 + 66521 z^6 + 4816 z^7) Sin[(7 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