Gergő
Nemes is a postdoctoral research fellow
at the School of Mathematics
at
the
University of Edinburgh.
He has an Ph.D. degree in Mathematics.
Address:
School of Mathematics
The University of Edinburgh
James Clerk Maxwell Building
King's Buildings,
Peter
Guthrie Tait Road
Edinburgh
EH9 3FD
United Kingdom 
Welcome to my home page. Here you can find information
about my research topics and some of my papers.
I can be contacted by email at
Gergo.Nemes@ed.ac.uk.
Research interests:
●
Asymptotic expansions
●
Resurgence
●
Special functions
Publications:

On the coefficients of the asymptotic expansion of n!,
Journal of Integer
Sequences
13
(2010), no. 6, Article 10.6.6, 5 pp.

New
asymptotic expansion for the Gamma function,
Archiv der Mathematik
95 (2010), no. 2, 161169

Asymptotic expansion for log n!
in terms of the reciprocal of a triangular number,
Acta Mathematica Hungarica
129 (2010), no. 3, 254262

More accurate approximations for the Gamma function,
Thai Journal of
Mathematics
9 (2011), no. 1, 2128

On the coefficients of an asymptotic expansion related to Somos' Quadratic
Recurrence Constant,
Applicable Analysis and Discrete Mathematics 5 (2011), no. 1, 6066

An asymptotic expansion for the Bernoulli Numbers of the Second Kind,
Journal of Integer
Sequences
14
(2011), no. 4, Article 11.4.8, 6 pp.

With A. Nemes 
A note
on the Landau constants,
Applied Mathematics and Computation
217 (2011), no. 21,
85438546

Proofs
of two conjectures on the Landau constants,
Journal of Mathematical Analysis and Applications
388
(2012), no. 2, 838844

Approximations for the higher order coefficients in an asymptotic expansion
for the Gamma function,
Journal of Mathematical Analysis and
Applications
396 (2012), no. 1, 417424

A remark on some accurate estimates of
p,
Journal of Mathematical Inequalities
6 (2012), no. 4, 517521

A solution to an open problem on Mathieu series posed by
Hoorfar and Qi,
Acta Mathematica Vietnamica
37 (2012), no. 3, 301310

Error bounds and exponential improvement for Hermite's
asymptotic expansion for the Gamma function,
Applicable Analysis and Discrete Mathematics 7
(2013), no. 1, 161179

Generalization of Binet's Gamma function formulas,
Integral Transforms and Special Functions
24 (2013), no. 8,
597606

An explicit formula for the coefficients in Laplace's method,
Constructive Approximation 38
(2013),
no. 3, 471487

The resurgence
properties of the largeorder asymptotics of the Hankel and Bessel functions,
Analysis and Applications
12 (2014), no. 4, 403462

The resurgence
properties of the large order asymptotics of the AngerWeber function I,
Journal of Classical Analysis
4 (2014), no. 1, 139

The resurgence
properties of the large order asymptotics of the AngerWeber function II,
Journal of Classical Analysis
4 (2014), no. 2, 121147

Error bounds and
exponential improvement for the asymptotic expansion of the Barnes Gfunction,
Proceedings of the Royal Society A: Mathematical, Physical and
Engineering Sciences
470 (2014), no. 2172, 14 pp.

On the large argument asymptotics of the Lommel
function via Stieltjes transforms,
Asymptotic Analysis
91 (2015), no. 34, 265281

Error bounds and
exponential improvements for the asymptotic expansions of the gamma function
and its reciprocal,
Proceedings of the Royal Society of Edinburgh,
Section A: Mathematics
145 (2015), no. 3, 571596

The resurgence
properties of the incomplete gamma function II,
Studies in Applied Mathematics
135
(2015), no. 1, 86116

The resurgence
properties of the Hankel and Bessel functions of nearly equal order and
argument, Mathematische Annalen
363 (2015), no. 3, 12071263

The resurgence
properties of the incomplete gamma function I,
Analysis and Applications
14 (2016), no. 5, 631677

With A. B. Olde Daalhuis 
Uniform
asymptotic expansion for the incomplete beta function,
Symmetry,
Integrability and Geometry: Methods and Applications 12
(2016), Article 101, 5 pp.

Error bounds for the largeargument
asymptotic expansions of the Hankel and Bessel functions,
Acta Applicandae Mathematicae 150 (2017), no. 1,
141177

Error bounds for the asymptotic
expansion of the Hurwitz zeta function,
Proceedings of the Royal Society A: Mathematical, Physical and
Engineering Sciences
473 (2017), no. 2203, Article 20170363, 16 pp.

Error bounds
for the largeargument asymptotic expansions of the Lommel and allied
functions, submitted

With T. Bennett, C. J. Howls, and A.
B. Olde Daalhuis 
Globally exact asymptotics for integrals with arbitrary
order saddles, submitted
The pdf version of my publication list:
pdf, and my citation list:
pdf.
My Erdős number is 3.
Curriculum Vitae:
My Curriculum Vitae is avaliable
in
pdf.
Ph.D. Dissertation:
My Ph.D. dissertation is avaliable
in
pdf.
Errata: pdf.
Notes:
●
A proof of Stirling's formula (in
Hungarian),
2008.
●
Topics in Combinatorics,
2013.
● Topics in Algebra
(incomplete),
2013.
●
A proof of
Burnside's formula,
2017.
Teaching:
Math 5003
(Introduction to Asymptotic Expansions) W 2014
