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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/07.34.03.0010.01









  


  








Input Form





MeijerG[{{a, b, Subscript[a, 3], \[Ellipsis], Subscript[a, p]}, {}}, {{0}, {a - 1, b - 1, Subscript[b, 3], \[Ellipsis], Subscript[b, q]}}, z] == (Product[Gamma[Subscript[a, j]], {j, 3, p}]/ ((1 - a) (1 - b) (b - a) Product[Gamma[Subscript[b, j]], {j, 3, q}])) ((1 - a) HypergeometricPFQ[{1 - b, 1 - Subscript[a, 3], \[Ellipsis], 1 - Subscript[a, p]}, {2 - b, 1 - Subscript[b, 3], \[Ellipsis], 1 - Subscript[b, q]}, -z] - (1 - b) HypergeometricPFQ[ {1 - a, 1 - Subscript[a, 3], \[Ellipsis], 1 - Subscript[a, p]}, {2 - a, 1 - Subscript[b, 3], \[Ellipsis], 1 - Subscript[b, q]}, -z]) /; a != b








Standard Form





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MathML Form







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





2001-10-29