On Taylor series expansion of $(1+z{)}^A$ for $\mathrm{\mid }z\mathrm{\mid }>1$

It is well known that the Taylor series expansion of $(1+z{)}^A$ does not converge for $\mathrm{\mid }z\mathrm{\mid }>1$ where A is a real number which is not equal to zero or a positive integer. A limited series expansion of this expression is obtained in this paper for $\mathrm{\mid }z\mathrm{\mid }>1$ as a product of convergent series.