Abertay University

output

20112025

most citedCyber Security in the Age of COVID-19: A Timeline and Analysis of Cyber-Crime and Cyber-Attacks during the Pandemic

674 citations

Showing 2015 · math.CAShow all

4 papers · 2 filters

math.CA2015

On the asymptotic expansions of products related to the Wallis, Weierstrass and Wilf formulas

C. -P. Chen, R. B. Paris

For all integers $n \geq 1$ , let \begin{align*} W_n(p,q)=\prod_{j=1}^{n}\left\{e^{-p/j}\left(1+\frac{p}{j}+\frac{q}{j^2}\right)\right\} \end{align*} and \begin{align*} R_n(p, q)=\pro…

math.CA2015

The asymptotics of the Struve function $H_{ν} (z)$ for large complex order and argument

R. B. Paris

We re-examine the asymptotic expansion of the Struve function $H_{ν} (z)$ for large complex values of $ν$ and $z$ satisfying $∣ ar g ν ∣ \leq π /2$ and $∣ ar g z ∣ < π /2$ . Watson's ana…

math.CA2015

Asymptotic and structural properties of special cases of the Wright function arising in probability theory

R. B. Paris, V. Vinogradov

This analysis paper presents previously unknown properties of some special cases of the Wright function whose consideration is necessitated by our work on probability theory and th…

math.CA2015★ 2 cited

The asymptotic expansion of a generalisation of the Euler-Jacobi series

R. B. Paris

We consider the asymptotic expansion of the sum \[S_p(a;w)=\sum_{n=1}^\infty n^{-w}\e^{-an^p}\] as $a \to 0$ in $∣ ar g a ∣ < π /2$ for arbitrary finite $p >$ and $w > 0$ . Our atte…

On the asymptotic expansions of products related to the Wallis, Weierstrass and Wilf formulas

The asymptotics of the Struve function Hν​(z) for large complex order and argument

Asymptotic and structural properties of special cases of the Wright function arising in probability theory

The asymptotic expansion of a generalisation of the Euler-Jacobi series

The asymptotics of the Struve function $H_{ν} (z)$ for large complex order and argument