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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==3 > Case {m,n,p,q}={3,1,3,3}





http://functions.wolfram.com/07.34.03.0997.01









  


  








Input Form





MeijerG[{{a}, {c, b - n}}, {{b, d, e}, {}}, z] == (((-1)^n Gamma[1 - a + d] Gamma[1 - a + e])/Gamma[1 - a + c]) z^(1 - a) Sum[(z^k Binomial[n, k] Hypergeometric2F1[1 - a + d + k, 1 - a + e + k, 1 - a + c + k, -z] Pochhammer[a - b, -k + n] Pochhammer[1 - a + d, k] Pochhammer[1 - a + e, k])/Pochhammer[1 - a + c, k], {k, 0, n}] /; Element[n, Integers] && n > 0








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