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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=25/8





http://functions.wolfram.com/07.23.03.b819.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 25/8, 11/2, -z] == -((1024 (Sqrt[z] (27451200 + 107353800 z + 74007945 z^2 - 76030020 z^3 - 15803810 z^4 + 1392754980 z^5 + 3639261345 z^6 + 4338247200 z^7 + 2818379520 z^8 + 972894208 z^9 + 140574720 z^10) Cos[(5 ArcTan[Sqrt[z]])/4] - (21960960 + 81765360 z + 43772409 z^2 - 69559380 z^3 + 356694030 z^4 + 2639757340 z^5 + 5589938625 z^6 + 6090225552 z^7 + 3751820160 z^8 + 1249064960 z^9 + 175718400 z^10) Sin[(5 ArcTan[Sqrt[z]])/4]))/(456938536769 z^(9/2) (1 + z)^(5/8)))








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