How to find the value of an infinite series. for e.g.(adsbygoogle = window.adsbygoogle || []).push({});

[itex]Ʃ_{n=1}^{\infty} (β^{n-1}y^{R^{n}}e^{A(1-R^{2n})}) [/itex]

where β<1, R<1, y>1, and A>0?

Note that this series is covergent by Ratio test. I already have the numerical solution of the above. However, I am interested in analytical solution (approximation) of the value of infinte series (in terms of β,R, y, A).

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# Analytical solution of an infinite series

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