13 citations · 33 across the 8 of their papers we have counts for
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math.CA2020★ 3 cited
Proofs of two conjectures on the real zeros of the cylinder and Airy functions
Gergő Nemes
We prove the enveloping property of the known divergent asymptotic expansions of the large real zeros of the cylinder and Airy functions, and thereby answering in the affirmative t…
math.CA2020★ 13 cited
On the Borel summability of WKB solutions of certain Schrödinger-type differential equations
Gergő Nemes
A class of Schrödinger-type second-order linear differential equations with a large parameter is considered. Analytic solutions of this type of equations can be described via (…
math.CV2020★ 3 cited
Asymptotic expansions for the radii of starlikeness of normalised Bessel functions
Árpád Baricz, Gergő Nemes
The asymptotic behaviour, with respect to the large order, of the radii of starlikeness of two types of normalised Bessel functions is considered. We derive complete asymptotic exp…