GammaExpand
GammaExpand[exp]
rewrites Gamma[n + m]
in exp
(where n
has Head
Integer
).
See also
Overview, GammaEpsilon.
Examples
GammaExpand[Gamma[2 + Epsilon]]
(ε+1)Γ(ε+1)
GammaExpand[Gamma[-3 + Epsilon]]
(ε−3)(ε−2)(ε−1)εΓ(ε+1)
GammaExpand[Gamma[1 + Epsilon]]
Γ(ε+1)