is defined for all complex number z with Re[z] > 0, and from using the
relation G[z] = G[z+1]/z, this definition can be extended into the
left half-plane,
except when z = 0, -1, -2, ... . Alternatively,
there are definitions of G using infinite products, limits, and
identities involving trigonometric functions.
is defined for all complex number z with Re[z] > 0, and from using the relation G[z] = G[z+1]/z, this definition can be extended into the left half-plane, except when z = 0, -1, -2, ... . Alternatively, there are definitions of G using infinite products, limits, and identities involving trigonometric functions.
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