
































Series representations
Generalized power series
Expansions at generic point z==z_{0}
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+1}F_{q}(a_{1},...,a_{q+1};b_{1},...,b_{q};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 a_{r}+k/;r ∈ {2,3,4} && k ∈ N
The major terms for expansions of function _{q+1}F_{q}(a_{1},...,a_{q+1};b_{1},...,b_{q};z) at z==infinity
Expansions at z==infinity for polynomial cases
Asymptotic series expansions
Expansions for q==p
Expansions for q==p+1
Expansions for q>=p+2
Expansions for _{0}F_{2}
Expansions for _{0}F_{3}
General formulas of asymptotic series expansions
Main terms of asymptotic expansions
Residue representations








HypergeometricPFQ[{},{},z]  HypergeometricPFQ[{},{b},z]  HypergeometricPFQ[{a},{},z]  HypergeometricPFQ[{a},{b},z]  HypergeometricPFQ[{a_{1}},{b_{1},b_{2}},z]  HypergeometricPFQ[{a_{1},a_{2}},{b_{1}},z]  HypergeometricPFQ[{a_{1},a_{2}},{b_{1},b_{2}},z]  HypergeometricPFQ[{a_{1},a_{2}},{b_{1},b_{2},b_{3}},z]  HypergeometricPFQ[{a_{1},a_{2},a_{3}},{b_{1},b_{2}},z]  HypergeometricPFQ[{a_{1},a_{2},a_{3},a_{4}},{b_{1},b_{2},b_{3}},z]  HypergeometricPFQ[{a_{1},a_{2},a_{3},a_{4},a_{5}},{b_{1},b_{2},b_{3},b_{4}},z]  HypergeometricPFQ[{a_{1},a_{2},a_{3},a_{4},a_{5},a_{6}},{b_{1},b_{2},b_{3},b_{4},b_{5}},z]  

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