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variants of this functions
MeijerG






Mathematica Notation

Traditional Notation









Hypergeometric Functions > MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z] > Specific values > Specialized values > Cases with m==1 > Case {m,n,p,q}={1,0,0,2}





http://functions.wolfram.com/07.34.03.0237.01









  


  










Input Form





MeijerG[{{}, {}}, {{b}, {b + 1/2 - n}}, z] == ((-(I/Sqrt[Pi])) z^b (I Cos[(n Pi)/2 - 2 I Sqrt[-z]] Sum[Gamma[1/2 + 2 k + Abs[-(1/2) + n]]/(16^k (-z)^k ((2 k)! Gamma[1/2 - 2 k + Abs[-(1/2) + n]])), {k, 0, Floor[(1/4) (-1 + 2 Abs[-(1/2) + n])]}] + (1/Sqrt[-z]) (Sin[(n Pi)/2 - 2 I Sqrt[-z]] Sum[(2^(-2 - 4 k) (1/2 + 2 k + Abs[-(1/2) + n])!)/ ((-z)^k ((-(3/2) - 2 k + Abs[-(1/2) + n])! Gamma[2 + 2 k])), {k, 0, Floor[(1/4) (-3 + 2 Abs[-(1/2) + n])]}])))/ (E^((1/2) I n Pi) (-z)^(n/2)) /; Element[n, Integers]










Standard Form





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MathML Form







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<apply> <in /> <ci> n </ci> <integers /> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29