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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Identities > Functional identities > Relations of special kind





http://functions.wolfram.com/07.23.17.0043.01









  


  










Input Form





Hypergeometric2F1[1/2 - \[Lambda], 1/2 + \[Nu], 1 + \[Mu] + \[Nu], 1 - z] Hypergeometric2F1[1/2 + \[Lambda], -(1/2) - \[Nu], 1 + \[Lambda] + \[Mu], z] + Hypergeometric2F1[-(1/2) - \[Lambda], 1/2 + \[Nu], 1 + \[Mu] + \[Nu], 1 - z] Hypergeometric2F1[1/2 + \[Lambda], 1/2 - \[Nu], 1 + \[Lambda] + \[Mu], z] - Hypergeometric2F1[1/2 - \[Lambda], 1/2 + \[Nu], 1 + \[Mu] + \[Nu], 1 - z] Hypergeometric2F1[1/2 + \[Lambda], 1/2 - \[Nu], 1 + \[Lambda] + \[Mu], z] == (Gamma[1 + \[Lambda] + \[Mu]] Gamma[1 + \[Mu] + \[Nu]])/ (Gamma[1/2 + \[Mu]] Gamma[3/2 + \[Lambda] + \[Mu] + \[Nu]])










Standard Form





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MathML Form







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</ci> <ci> &#956; </ci> <ci> &#957; </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29





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