Abstract

ABSTRACT A Bromwich-Hansen series is extended to derive the infinite sum of the addition of two incomplete gamma functions in terms of the Hurwitz-Lerch Zeta function. This formula is then used to derive infinite sums and products involving elementary and trigonometric functions. In some cases the infinite products are highly-oscillatory and difficult to evaluate. Symmetric plots are produced to showcase interesting features of special cases of infinite product and summation forms.

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