Sum of the Hurwitz-Lerch Zeta Function over Natural Numbers: Derivation and Evaluation
نویسندگان
چکیده
We consider a Hurwitz-Lerch zeta function Φ s , z a sum over the natural numbers. provide an analytically continued closed form solution for this in terms of addition functions. A new recurrence identity with consecutive neighbours and product trigonometric functions is derived.
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ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2022
ISSN: ['2314-4785', '2314-4629']
DOI: https://doi.org/10.1155/2022/3591775