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

Abstract

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.

18 pages

References in corpus (1)

• On the higher derivatives of Z(t) associated with the Riemann Zeta-Function