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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=-7/4, b>=a > For fixed z and a=-7/4, b=9/4





http://functions.wolfram.com/07.23.03.af4b.01









  


  










Input Form





Hypergeometric2F1[-(7/4), 9/4, 6, -z] == (16384 Sqrt[2] (Sqrt[1 + z] (-2048 - 8352 z - 11475 z^2 - 3850 z^3 + 3465 z^4 + 4752 z^5 + 1408 z^6) EllipticE[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] + (-2048 - 10400 z - 19827 z^2 - 15325 z^3 - 385 z^4 + 8217 z^5 + 6160 z^6 + 1408 z^7) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (-2048 - 9888 z - 17595 z^2 - 11935 z^3 + 1155 z^4 + 1287 z^5 + 352 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (-2048 - 8352 z - 11475 z^2 - 3850 z^3 + 3465 z^4 + 4752 z^5 + 1408 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (49968765 Pi z^5 Sqrt[1 + Sqrt[1 + z]])










Standard Form





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MathML Form







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<apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02