Fractional calculus, zeta functions and Shannon entropy
نویسندگان
چکیده
Abstract This paper deals with the fractional calculus of zeta functions. In particular, study is focused on Hurwitz ? \zeta function. All results are based complex generalization Grünwald-Letnikov derivative. We state and prove functional equation together an integral representation by Bernoulli numbers. Moreover, we treat application in terms Shannon entropy.
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ژورنال
عنوان ژورنال: Open Mathematics
سال: 2021
ISSN: ['2391-5455']
DOI: https://doi.org/10.1515/math-2021-0010