190 citations · 563 across the 20 of their papers we have counts for
20 papers
A novel asymptotic technique for integrals involving the Hankel contour and the Bleistein asymptotic formula
A. S. Fokas, J. Lenells
Several important functions, including the gamma function, as well as several infinite sums, admit integral representations involving the Hankel contour. In addition, the large …
A quantitative framework for exploring exit strategies from the COVID-19 lockdown
A. S. Fokas, J. Cuevas-Maraver, P. G. Kevrekidis
Following the highly restrictive measures adopted by many countries for combating the current pandemic, the number of individuals infected by SARS-CoV-2 and the associated number o…
Initial-boundary value problems associated with the Ablowitz-Ladik system
Baoqiang Xia, A. S. Fokas
We employ the Ablowitz-Ladik system as an illustrative example in order to demonstrate how to analyze initial-boundary value problems for integrable nonlinear differential-differen…
Perturbative and exact results on the Neumann value for the nonlinear Schrödinger equation on the half-line
A. S. Fokas, J. Lenells
The most challenging problem in the implementation of the so-called \textit{unified transform} to the analysis of the nonlinear Schrödinger equation on the half-line is the charact…
The Fourier Transforms of the Chebyshev and Legendre Polynomials
A. S. Fokas, S. A. Smitheman
Analytic expressions for the Fourier transforms of the Chebyshev and Legendre polynomials are derived, and the latter is used to find a new representation for the half-order Bessel…
On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function
A. S. Fokas, J. Lenells
We present several formulae for the large asymptotics of the Riemann zeta function , , , , which are valid to all orders. A particular case o…