HypergeometricSE
HypergeometricSE[exp, nu]
expresses Hypergeometric functions by their series expansion in terms of a sum (the Sum
is omitted and nu
, running from 0 to ∞, is the summation index).
See also
Overview, HypergeometricIR.
Examples
HypergeometricSE[Hypergeometric2F1[a, b, c, z], \[Nu]]
Γ(a)Γ(b)Γ(ν+1)Γ(c+ν)Γ(c)zνΓ(a+ν)Γ(b+ν)
HypergeometricSE[HypergeometricPFQ[{a, b, c}, {d, e}, z], \[Nu]]
Γ(a)Γ(b)Γ(c)Γ(ν+1)Γ(d+ν)Γ(e+ν)Γ(d)Γ(e)zνΓ(a+ν)Γ(b+ν)Γ(c+ν)