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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=-23/4, b>=a > For fixed z and a=-23/4, b=19/4





http://functions.wolfram.com/07.23.03.a7q7.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, -(11/2), z] == (1/88704) ((1/(1 - Sqrt[z])^(9/2)) (44352 - 199584 Sqrt[z] + 569520 z - 1282176 z^(3/2) + 2511992 z^2 - 4464054 z^(5/2) + 7415991 z^3 - 11691570 z^(7/2) + 17763372 z^4 - 26193024 z^(9/2) + 38005968 z^5 - 54486432 z^(11/2) + 80720640 z^6 - 111002112 z^(13/2) + 107437824 z^7 - 58046976 z^(15/2) + 12899328 z^8) + (1/(1 + Sqrt[z])^(9/2)) (44352 + 199584 Sqrt[z] + 569520 z + 1282176 z^(3/2) + 2511992 z^2 + 4464054 z^(5/2) + 7415991 z^3 + 11691570 z^(7/2) + 17763372 z^4 + 26193024 z^(9/2) + 38005968 z^5 + 54486432 z^(11/2) + 80720640 z^6 + 111002112 z^(13/2) + 107437824 z^7 + 58046976 z^(15/2) + 12899328 z^8))








Standard Form





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MathML Form







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<cn type='integer'> 4464054 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2511992 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1282176 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 569520 </cn> <ci> z </ci> </apply> <apply> <times /> <cn type='integer'> 199584 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> 44352 </cn> </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