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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] > Identities > Functional identities > General cases





http://functions.wolfram.com/07.34.17.0017.01









  


  










Input Form





MeijerG[{{Subscript[a, 1], \[Ellipsis], Subscript[a, n]}, {Subscript[a, n + 1], \[Ellipsis], Subscript[a, q]}}, {{Subscript[b, 1], \[Ellipsis], Subscript[b, m]}, {Subscript[b, m + 1], \[Ellipsis], Subscript[b, q]}}, z] == (Pi^(m + n - q)/Sin[Pi Subscript[\[Psi], q]]) Sum[E^((m + n - q) (1 - Subscript[a, h]) Pi I) (Product[Sin[(Subscript[a, h] - Subscript[b, k]) Pi], {k, m + 1, q}]/ Product[If[k == h, 1, Sin[Pi (Subscript[a, h] - Subscript[a, k])]], {k, 1, n}]) MeijerG[{{Subscript[a, h]}, {Subscript[a, 1], \[Ellipsis], Subscript[a, q], Subscript[a, h] + Subscript[\[Psi], q]}}, {{Subscript[a, h]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q], Subscript[a, h] + Subscript[\[Psi], q]}}, (-1)^(m + n - q) z], {h, 1, n}] /; Abs[z] > 1 && Subscript[\[Psi], q] == Sum[Subscript[a, k] - Subscript[b, k], {k, 1, q}] - 1 && !Element[Subscript[\[Psi], q], Integers]










Standard Form





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MathML Form







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Rule Form





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





2001-10-29





© 1998- Wolfram Research, Inc.