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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]





Series representations

Generalized power series

Expansions at generic point z==z0

For the function itself

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Expansions on branch cuts ||| Expansions on branch cuts

For the function itself

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For the function itself

Expansions at z==0

Case of simple poles

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Case of poles of order r in the points -br-k/;r ∈ {1,2,3,4} && kN

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Expansions at z==(-1)m+n-q for p==q

The general formula for arbitrary z

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The general formula for psiqZ in the particular case |z|>1

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The major terms in the general formulas for expansions of function p==q at z==(-1)m+n-q

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Expansions at z==infinity

Case of simple poles

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Case of poles of order r in the points -ar+k/;r ∈ {1,2,3,4} && kN+

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Asymptotic series expansions at z==0 for q<p

Expansions for p==q+1

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Expansions for p==q+2

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Expansions for p>q+2

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Asymptotic series expansions at z==infinity for q>p

Expansions for q==p+1

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Expansions for q==p+2

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Expansions for q>p+2

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General formulas of asymptotic series expansions

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Main terms of asymptotic expansions

Expansions at z==0

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Expansions at z==(-1)m+n-q for p==q

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Expansions at z==infinity

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Residue representations

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