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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 arbitrary {m,n,p,q} > Case {m,n,p,q}={1,p,p,q}





http://functions.wolfram.com/07.34.03.0014.01









  


  








Input Form





MeijerG[{{a, Subscript[a, 2], \[Ellipsis], Subscript[a, p]}, {}}, {{0}, {a + m, Subscript[b, 2], \[Ellipsis], Subscript[b, q]}}, z] == Gamma[1 - a] Sum[(Binomial[m, k]/Gamma[1 - a - m + k]) (Product[Gamma[1 - Subscript[a, j] + k], {j, 2, p}]/ Product[Gamma[1 - Subscript[b, j] + k], {j, 2, q}]) (-z)^k HypergeometricPFQ[{1 - Subscript[a, 2] + k, \[Ellipsis], 1 - Subscript[a, p] + k}, {1 - Subscript[b, 2] + k, \[Ellipsis], 1 - Subscript[b, q] + k}, -z], {k, 0, m}]








Standard Form





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MathML Form







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





2001-10-29