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INTERNATIONAL MATHEMATICAL FORUM ISSN 1312-7594 (print) ISSN 1314-7536 (online) |
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Ch. Ferreira, J. L. Lopez, P. Pagola, E. P. Sinusia The Laplace's and steepest descents methods revisited Int. Math. Forum, Vol. 2, 2007, no. 5-8, 297-314 http://dx.doi.org/10.12988/imf.2007.07028 Copyright © 2007 Ch. Ferreira, J. L. Lopez, P. Pagola and E. P. Sinusia. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Cited by (10): Sarah Farid Khwaja, Uniform asymptotic approximations of integrals, Diss., University of Edinburgh (2014) [View at Publisher] Sarah Farid Khwaja and Adri B. Olde Daalhuis, Exponentially accurate uniform asymptotic approximations for integrals and Bleistein's method revisited, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 469 (2013), no. 2153 [CrossRef] Jose L. Lopez, Pedro Pagola and Ester Perez Sinusia, Asymptotics of the first Appell function F 1 with large parameters, Integral Transforms and Special Functions, 24 (2013), no. 9, 715-733 [CrossRef] Jose L. Lopez, Pedro Pagola and Ester Perez Sinusia, Asymptotics of the first Appell function F 1 with large parameters II, Integral Transforms and Special Functions, 24 (2013), no. 12, 982-999 [CrossRef] Richard Bruce Paris, Hadamard Expansions and Hyperasymptotic Evaluation: An Extension of the Method of Steepest Descents, Cambridge University Press, 141, 2011 [CrossRef] Jose L. Lopez and Pedro J. Pagola, An explicit formula for the coefficients of the saddle point method, Constructive Approximation, 33 (2011), no. 2, 145-162 [CrossRef] Jose L. Lopez and Pedro J. Pagola, The confluent hypergeometric functions M(a, b; z) and U(a, b; z) for large b and z, Journal of Computational and Applied Mathematics, 233 (2010), no. 6, 1570-1576 [CrossRef] Jose L. Lopez, Pedro Pagola and E. Perez Sinusia, A simplification of Laplace’s method: Applications to the gamma function and Gauss hypergeometric function, Journal of Approximation Theory, 161 (2009), no. 1, 280-291 [CrossRef] Jose L. Lopez, Pedro Pagola and Ester Perez Sinusia, A systematization of the saddle point method. Application to the Airy and Hankel functions, Journal of Mathematical Analysis and Applications, 354 (2009), no. 1, 347-359 [CrossRef] Jose L. Lopez and Ester Perez Sinusia, Two-point Taylor expansions in the asymptotic approximation of double integrals. Application to the second and fourth Appell functions, Journal of Mathematical Analysis and Applications, 339 (2008), no. 1, 530-541 [CrossRef]
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