HypExplicit
HypExplicit[exp, nu]
expresses Hypergeometric functions in exp by their definition in terms of a sum (the Sum
is omitted and nu
is the summation index).
See also
Overview, HypergeometricIR.
Examples
Hypergeometric2F1[a, b, c, z]
HypExplicit[%, \[Nu]]
\, _2F_1(a,b;c;z)
Γ(a)Γ(b)Γ(ν+1)Γ(c+ν)Γ(c)zνΓ(a+ν)Γ(b+ν)
HypergeometricPFQ[{a, b, c}, {d, e}, z]
HypExplicit[%, \[Nu]]
\, _3F_2(a,b,c;d,e;z)
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)