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Journal
2011, Cambridge texts in applied mathematics, ISBN 9781107664104, Volume 47, xiv, 348
The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In... 
Wave equation | Nonlinear waves | Asymptotic expansions | Solitons
Book
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 10/2015, Volume 92, Issue 7
The numerically dominant QED contributions to the anomalous magnetic moment of the muon stem from Feynman diagrams with internal electron loops. We consider... 
4 LOOPS | DIAGRAMS | FEYNMAN-INTEGRALS | ELECTRON | HADRONIC CONTRIBUTIONS | FORM | G-2 EXPERIMENT | ASTRONOMY & ASTROPHYSICS | ASYMPTOTIC-EXPANSION | REGIONS | VACUUM POLARIZATION INSERTIONS | PHYSICS, PARTICLES & FIELDS | Asymptotic expansions | Integrals | Mathematical analysis | Cosmology | Photons | Feynman diagrams | Muons | Magnetic moment | Physics - High Energy Physics - Phenomenology
Journal Article
2014, 1st edition., ISBN 9780199681730, 4 v.
Book
Applied Mathematics and Computation, ISSN 0096-3003, 03/2019, Volume 344-345, pp. 183 - 190
•A method is considered for computing oscillatory Bessel transforms.•The relation between the multiple integral and simple integral is used.•The order is... 
Bessel function integrals | Multiple integral | Asymptotic expansion | Hankel transforms | INTEGRALS | MATHEMATICS, APPLIED | ASYMPTOTIC EXPANSIONS | BESSEL TRANSFORMS
Journal Article
2017, Annals of mathematics studies, ISBN 9780691175423, Volume number 195, xxi, 849 pages
Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The... 
Series, Arithmetic | Asymptotic expansions | Divergent series | Differential algebra | MATHEMATICS | Abstract | Algebra | Mathematics
Book
Applied Mathematics and Computation, ISSN 0096-3003, 01/2018, Volume 317, pp. 121 - 128
In this paper, we investigate certain asymptotic series used by Hirschhorn to prove an asymptotic expansion of Ramanujan for the nth harmonic number. We give a... 
Euler–Mascheroni constant | Asymptotic expansion | Harmonic number | MATHEMATICS, APPLIED | Euler-Mascheroni constant | SERIES | ASYMPTOTIC-EXPANSION
Journal Article
2010, 2 ed., Cambridge series in statistical and probabilistic mathematics, ISBN 9780521877220, xii, 386
Exact statistical inference may be employed in diverse fields of science and technology. As problems become more complex and sample sizes become larger,... 
Asymptotic expansions | Mathematical statistics | Probabilities | Estimation theory | Mathematics
Book
Communications in Partial Differential Equations, ISSN 0360-5302, 05/2016, Volume 41, Issue 5, pp. 812 - 837
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 07/2019, Volume 354, pp. 86 - 95
An expansion of the ratio of two gamma functions is used to obtain an adequate representation for the product of ratios of gamma functions which enables the... 
Ratio of gamma functions | Asymptotic expansions | Fourier transform | Mixtures | Gamma function | Generalized Bernoulli polynomials | MATHEMATICS, APPLIED | APPROXIMATIONS | ASYMPTOTIC-EXPANSION | NEAR-EXACT DISTRIBUTIONS | Statistics | Equality
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 03/2018, Volume 56, pp. 314 - 329
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2019, Volume 267, Issue 2, pp. 902 - 937
The Fourier transform, F, on R (N≥3) transforms the Cauchy problem for the strongly damped wave equation u −Δu −Δu=0 to an ordinary differential equation in... 
Wave equation | Asymptotic expansion of L | Fourier analysis | Strong damping | Asymptotic analysis | initial data | norm | Weighted L | MATHEMATICS | Asymptotic expansion of L-2-norm | Weighted L-1-initial data
Journal Article
2017, Probability theory and stochastic modelling, ISBN 3662543222, Volume 80, xviii, 204 pages
Presenting tools to aid understanding of asymptotic theory and weakly dependent processes, this book is devoted to inequalities and limit theorems for... 
Inequalities (Mathematics) | Markov processes | Central limit theorem | Asymptotic distribution (Probability theory) | Mathematics | Asymptotic expansions | Stochastic processes
Book
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