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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] > Series representations





Generalized power series

Expansions at generic point z==z0

For the function itself

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Expansions on branch cut

For the function itself

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Expansions at z==0

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Expansions at z==1

The general formulas

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The logarithmic cases

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The major terms in the general formula for expansions of function 4F3(a1,a2,a3,a4;b1,b2,b3;z) at z==1

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Expansions at z==infinity

The general formulas

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Case of simple poles

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

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The major terms for expansions of function 4F3(a1,a2,a3,a4;b1,b2,b3;z) at z==infinity

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Expansions at z==infinity for polynomial cases

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