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Generalized power series
Expansions at generic point z==z0
For the function itself
Expansions on branch cuts for p==q+1
For the function itself
Expansions at z==0
Expansions at z==1 for p==q+1
The general formulas
The logarithmic cases
The major terms in the general formula for expansions of function q+1Fq(a1,...,aq+1;b1,...,bq;z) at z==1
Expansions at z==infinity for p==q+1
The general formulas
Case of simple poles
Case of poles of order r in the points ar+k/;r ∈ {2,3,4} && k ∈ N
The major terms for expansions of function q+1Fq(a1,...,aq+1;b1,...,bq;z) at z==infinity
Expansions at z==infinity for polynomial cases
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HypergeometricPFQ[{},{},z] | HypergeometricPFQ[{},{b},z] | HypergeometricPFQ[{a},{},z] | HypergeometricPFQ[{a},{b},z] | HypergeometricPFQ[{a1},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1},z] | HypergeometricPFQ[{a1,a2},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] | HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5},{b1,b2,b3,b4},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5,a6},{b1,b2,b3,b4,b5},z] | |
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