%0 Journal Article %1 Khwaja21532013 %A Khwaja, Sarah Farid %A Olde Daalhuis, Adri B. %D 2013 %J Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science %K approximation asymptotic integral mathematics unread %N 2153 %P 1471-2946 %R 10.1098/rspa.2013.0008 %T Exponentially accurate uniform asymptotic approximations for integrals and Bleistein's method revisited %U http://rspa.royalsocietypublishing.org/content/469/2153/20130008.abstract %V 469 %X We obtain new uniform asymptotic approximations for integrals with a relatively exponentially small remainder. We illustrate how these results can be used to obtain remainder estimates in the Bleistein method. The method is created to deal with new types of integrals in which the usual methods for remainder estimates fail. As an application, we obtain an asymptotic expansion for as in |ph λ|≤π/2 uniformly for large |z|.

@article{Khwaja21532013, abstract = {We obtain new uniform asymptotic approximations for integrals with a relatively exponentially small remainder. We illustrate how these results can be used to obtain remainder estimates in the Bleistein method. The method is created to deal with new types of integrals in which the usual methods for remainder estimates fail. As an application, we obtain an asymptotic expansion for as in |ph λ|≤π/2 uniformly for large |z|.}, added-at = {2013-03-25T02:59:29.000+0100}, author = {Khwaja, Sarah Farid and Olde Daalhuis, Adri B.}, biburl = {https://www.bibsonomy.org/bibtex/2dcd381f0b0b234750bc0901e4840393e/drmatusek}, doi = {10.1098/rspa.2013.0008}, eprint = {http://rspa.royalsocietypublishing.org/content/469/2153/20130008.full.pdf+html}, interhash = {097621da2f5bbbdc17bbe19e45d49efc}, intrahash = {dcd381f0b0b234750bc0901e4840393e}, journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science}, keywords = {approximation asymptotic integral mathematics unread}, month = may, number = 2153, pages = {1471-2946}, timestamp = {2013-03-25T02:59:29.000+0100}, title = {Exponentially accurate uniform asymptotic approximations for integrals and Bleistein's method revisited}, url = {http://rspa.royalsocietypublishing.org/content/469/2153/20130008.abstract}, volume = 469, year = 2013 }