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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 4 and fixed z > For fixed z and a=-3/4, b>=a > For fixed z and a=-3/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[-(3/4), 19/4, -(9/2), -z] == (1/(672 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((336 + 2380 z + 6941 z^2 + 10088 z^3 + 5390 z^4 + 10088 z^5 + 6941 z^6 + 2380 z^7 + 336 z^8)/(1 + z)^8 + (1/(1 + z)^(17/2)) (336 + 2548 z + 8089 z^2 + 13282 z^3 + 9702 z^4 - 25180 z^5 - 30311 z^6 - 17410 z^7 - 5264 z^8 - 672 z^9)))








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