336 citations · 1.1k across the 21 of their papers we have counts for
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math.CA2017★ 336 cited
On some new properties of fractional derivatives with Mittag-Leffler kernel
Dumitru Baleanu, Arran Fernandez
We establish a new formula for the fractional derivative with Mittag-Leffler kernel, in the form of a series of Riemann-Liouville fractional integrals, which brings out more clearl…
math.NT2017★ 9 cited
Asymptotics to all orders of the Hurwitz zeta function
Arran Fernandez, Athanassios S. Fokas
We present several formulae for the large- asymptotics of the modified Hurwitz zeta function which are valid to all orders. In the case of $x…
math.CA2017★ 5 cited
Uniform asymptotics as a stationary point approaches an endpoint
Arran Fernandez, Athanassios S. Fokas, Euan A. Spence
We obtain the rigorous uniform asymptotics of a particular integral where a stationary point is close to an endpoint. There exists a general method introduced by Bleistein for obta…