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

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