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On a generalisation of the Riemann $\xi$-function

open access: yes, 2021
It is known that we can construct the meromorphic function $Z_k(s)$ associated with the higher derivative of Hardy's $Z$-function. In this paper, we introduce the entire function derived from $Z_k(s)$, a generalisation of the Riemann $\xi$-function and prove some properties.
openaire   +1 more source

On a Method of Solution of Systems of Fractional Pseudo-Differential Equations. [PDF]

open access: yesFract Calc Appl Anal, 2021
Umarov S, Ashurov R, Ashurov R, Chen Y.
europepmc   +1 more source

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