Shi, Wei; Nemes, Gergő; Wang, Xiang-Sheng; Wong, Roderick Error bounds for the asymptotic expansions of the Hermite polynomials. (English) Zbl 1528.41083 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 2, 417-440 (2023). MSC: 41A60 33C45 PDFBibTeX XMLCite \textit{W. Shi} et al., Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 2, 417--440 (2023; Zbl 1528.41083) Full Text: DOI arXiv
Kaminski, D.; Paris, R. B. On the use of Hadamard expansions in hyperasymptotic evaluation: differential equations of hypergeometric type. (English) Zbl 1067.33004 Proc. R. Soc. Edinb., Sect. A, Math. 134, No. 1, 159-178 (2004). Reviewer: José L. Lopez (Pamplona) MSC: 33C15 41A60 34E05 33F05 65D20 PDFBibTeX XMLCite \textit{D. Kaminski} and \textit{R. B. Paris}, Proc. R. Soc. Edinb., Sect. A, Math. 134, No. 1, 159--178 (2004; Zbl 1067.33004) Full Text: DOI
Dunster, T. M. Uniform asymptotic expansions for associated Legendre functions of large order. (English) Zbl 1055.33008 Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 4, 807-827 (2003). Reviewer: Marcel G. de Bruin (Delft) MSC: 33C45 41A60 PDFBibTeX XMLCite \textit{T. M. Dunster}, Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 4, 807--827 (2003; Zbl 1055.33008) Full Text: DOI
Olde Daalhuis, A. B. Hyperasymptotics and the Stokes’ phenomenon. (English) Zbl 0786.33004 Proc. R. Soc. Edinb., Sect. A 123, No. 4, 731-743 (1993). Reviewer: N.M.Temme (Amsterdam) MSC: 33C15 30E15 41A60 PDFBibTeX XMLCite \textit{A. B. Olde Daalhuis}, Proc. R. Soc. Edinb., Sect. A, Math. 123, No. 4, 731--743 (1993; Zbl 0786.33004) Full Text: DOI
Dunster, T. M. Conical functions with one or both parameters large. (English) Zbl 0736.33002 Proc. R. Soc. Edinb., Sect. A 119, No. 3-4, 311-327 (1991). Reviewer: N.M.Temme (Amsterdam) MSC: 33C05 33C10 34E10 41A60 PDFBibTeX XMLCite \textit{T. M. Dunster}, Proc. R. Soc. Edinb., Sect. A, Math. 119, No. 3--4, 311--327 (1991; Zbl 0736.33002) Full Text: DOI
Sakamoto, Kunimochi Invariant manifolds in singular perturbation problems for ordinary differential equations. (English) Zbl 0719.34086 Proc. R. Soc. Edinb., Sect. A 116, No. 1-2, 45-78 (1990). Reviewer: A.Steindl (Wien) MSC: 34C30 34C37 34E05 41A60 37D99 PDFBibTeX XMLCite \textit{K. Sakamoto}, Proc. R. Soc. Edinb., Sect. A, Math. 116, No. 1--2, 45--78 (1990; Zbl 0719.34086) Full Text: DOI
Harris, B. J. The asymptotic form of the Titchmarsh-Weyl m-function associated with a second order differential equation with locally integrable coefficient. (English) Zbl 0615.34028 Proc. R. Soc. Edinb., Sect. A 102, 243-251 (1986). MSC: 34C05 41A60 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 102, 243--251 (1986; Zbl 0615.34028) Full Text: DOI
Olver, F. W. J. Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions. (English) Zbl 0446.33008 Proc. R. Soc. Edinb., Sect. A 86, 213-234 (1980). MSC: 33C05 34E20 41A60 33C10 PDFBibTeX XMLCite \textit{F. W. J. Olver}, Proc. R. Soc. Edinb., Sect. A, Math. 86, 213--234 (1980; Zbl 0446.33008) Full Text: DOI
Soni, Kusum On uniform asymptotic expansions of finite Laplace and Fourier integrals. (English) Zbl 0437.41031 Proc. R. Soc. Edinb., Sect. A 85, 299-305 (1980). MSC: 41A60 44A10 30E15 PDFBibTeX XMLCite \textit{K. Soni}, Proc. R. Soc. Edinb., Sect. A, Math. 85, 299--305 (1980; Zbl 0437.41031) Full Text: DOI
Wray, S. D. Absolutely convergent Sturm-Liouville expansions. (English) Zbl 0341.41028 Proc. R. Soc. Edinb., Sect. A 73(1974/75), 255-269 (1975). MSC: 41A60 34L99 PDFBibTeX XMLCite \textit{S. D. Wray}, Proc. R. Soc. Edinb., Sect. A, Math. 73, 255--269 (1975; Zbl 0341.41028) Full Text: DOI
Jones, D. S. Asymptotic behavior of an aperture integral. (English) Zbl 0311.41027 Proc. R. Soc. Edinb., Sect. A 71(1971-1973), 9-29 (1973). MSC: 41A60 PDFBibTeX XMLCite \textit{D. S. Jones}, Proc. R. Soc. Edinb., Sect. A, Math. 71, 9--29 (1973; Zbl 0311.41027)
Jones, D. S. A uniform asymptotic expansion for a certain double integral. (English) Zbl 0262.41027 Proc. R. Soc. Edinb., Sect. A 69(1970-1972), 205-226 (1971). MSC: 41A60 42A50 42A38 42B05 PDFBibTeX XMLCite \textit{D. S. Jones}, Proc. R. Soc. Edinb., Sect. A, Math. 69, 205--226 (1971; Zbl 0262.41027)