Paris, Richard B.; Vinogradov, Vladimir Asymptotic and structural properties of special cases of the Wright function arising in probability theory. (English) Zbl 1360.33012 Lith. Math. J. 56, No. 3, 377-409 (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C20 33C70 34E05 41A60 60E07 60E05 PDFBibTeX XMLCite \textit{R. B. Paris} and \textit{V. Vinogradov}, Lith. Math. J. 56, No. 3, 377--409 (2016; Zbl 1360.33012) Full Text: DOI arXiv Link
Paris, R. B. On the asymptotics of a sequence of lacunary binomial-type polynomials. (English) Zbl 1412.30129 J. Class. Anal. 6, No. 1, 47-57 (2015). MSC: 30E15 41A60 PDFBibTeX XMLCite \textit{R. B. Paris}, J. Class. Anal. 6, No. 1, 47--57 (2015; Zbl 1412.30129) Full Text: DOI arXiv
Paris, R. B. Exponential asymptotics of the Voigt functions. (English) Zbl 1319.30026 Z. Angew. Math. Phys. 66, No. 3, 563-572 (2015). MSC: 30E15 33E20 34E05 41A60 PDFBibTeX XMLCite \textit{R. B. Paris}, Z. Angew. Math. Phys. 66, No. 3, 563--572 (2015; Zbl 1319.30026) Full Text: DOI arXiv Link
Paris, R. B. An asymptotic expansion for the generalised quadratic Gauss sum revisited. (English) Zbl 1412.11086 J. Class. Anal. 5, No. 1, 15-24 (2014). MSC: 11L05 11L07 PDFBibTeX XMLCite \textit{R. B. Paris}, J. Class. Anal. 5, No. 1, 15--24 (2014; Zbl 1412.11086) Full Text: DOI arXiv
Paris, Richard B. Exponentially small expansions of the Wright function on the Stokes lines. (English) Zbl 1306.33014 Lith. Math. J. 54, No. 1, 82-105 (2014). MSC: 33C20 33C70 34E05 41A60 PDFBibTeX XMLCite \textit{R. B. Paris}, Lith. Math. J. 54, No. 1, 82--105 (2014; Zbl 1306.33014) Full Text: DOI Link
Paris, R. B. Exponentially small expansions in the asymptotics of the Wright function. (English) Zbl 1215.33003 J. Comput. Appl. Math. 234, No. 2, 488-504 (2010). Reviewer: Khodabakhsh Hessami Pilehrood (Mogilev) MSC: 33C20 33C70 34E05 41A60 PDFBibTeX XMLCite \textit{R. B. Paris}, J. Comput. Appl. Math. 234, No. 2, 488--504 (2010; Zbl 1215.33003) Full Text: DOI
Paris, R. B. A generalisation of an expansion for the Riemann zeta function involving incomplete gamma functions. (English) Zbl 1203.11058 Appl. Math. Sci., Ruse 3, No. 57-60, 2973-2984 (2009). Reviewer: Mehmet Cenkci (Antalya) MSC: 11M06 33B20 34E05 41A60 PDFBibTeX XMLCite \textit{R. B. Paris}, Appl. Math. Sci., Ruse 3, No. 57--60, 2973--2984 (2009; Zbl 1203.11058) Full Text: Link
Paris, R. B. The asymptotics of a new exponential sum. (English) Zbl 1241.11097 J. Comput. Appl. Math. 223, No. 1, 314-325 (2009). MSC: 11L05 40A05 30B50 PDFBibTeX XMLCite \textit{R. B. Paris}, J. Comput. Appl. Math. 223, No. 1, 314--325 (2009; Zbl 1241.11097) Full Text: DOI
Paris, R. B. On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. III: Clusters of saddle points. (English) Zbl 1119.41031 J. Comput. Appl. Math. 207, No. 2, 273-290 (2007). MSC: 41A60 30E15 30E20 PDFBibTeX XMLCite \textit{R. B. Paris}, J. Comput. Appl. Math. 207, No. 2, 273--290 (2007; Zbl 1119.41031) Full Text: DOI
Paris, R. B. On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. IV: Poles. (English) Zbl 1119.41030 J. Comput. Appl. Math. 206, No. 1, 454-472 (2007). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 33B20 PDFBibTeX XMLCite \textit{R. B. Paris}, J. Comput. Appl. Math. 206, No. 1, 454--472 (2007; Zbl 1119.41030) Full Text: DOI
Paris, R. B. The Stokes phenomenon associated with the Hurwitz zeta function \(\zeta (s,a)\). (English) Zbl 1145.11326 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2053, 297-304 (2005). MSC: 11M35 33F05 41A60 PDFBibTeX XMLCite \textit{R. B. Paris}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2053, 297--304 (2005; Zbl 1145.11326) Full Text: DOI
Paris, R. B. An asymptotic approximation for incomplete Gauss sums. (English) Zbl 1099.11041 J. Comput. Appl. Math. 180, No. 2, 461-477 (2005). Reviewer: John H. Loxton (North Ryde) MSC: 11L05 11L07 33C15 PDFBibTeX XMLCite \textit{R. B. Paris}, J. Comput. Appl. Math. 180, No. 2, 461--477 (2005; Zbl 1099.11041) Full Text: DOI
Paris, R. B. Exactification of the method of steepest descents: the Bessel functions of large order and argument. (English) Zbl 1071.65024 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2049, 2737-2759 (2004). MSC: 65D20 33C10 33C15 33F05 PDFBibTeX XMLCite \textit{R. B. Paris}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2049, 2737--2759 (2004; Zbl 1071.65024) Full Text: DOI
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
Paris, R. B. On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. II: Complex variable. (English) Zbl 1052.41017 J. Comput. Appl. Math. 167, No. 2, 321-343 (2004). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 33B15 33C10 PDFBibTeX XMLCite \textit{R. B. Paris}, J. Comput. Appl. Math. 167, No. 2, 321--343 (2004; Zbl 1052.41017) Full Text: DOI
Paris, R. B. On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. I: Real variable. (English) Zbl 1052.41016 J. Comput. Appl. Math. 167, No. 2, 293-319 (2004). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 33B15 33C10 PDFBibTeX XMLCite \textit{R. B. Paris}, J. Comput. Appl. Math. 167, No. 2, 293--319 (2004; Zbl 1052.41016) Full Text: DOI
Paris, R. B. On the asymptotic connection between two exponential sums. (English) Zbl 1162.11370 J. Comput. Appl. Math. 157, No. 2, 297-308 (2003). MSC: 11L07 PDFBibTeX XMLCite \textit{R. B. Paris}, J. Comput. Appl. Math. 157, No. 2, 297--308 (2003; Zbl 1162.11370) Full Text: DOI
Paris, R. B. Exponential asymptotics of the Mittag-Leffler function. (English) Zbl 1049.33018 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2028, 3041-3052 (2002). Reviewer: José L. Lopez (Pamplona) MSC: 33E12 41A60 PDFBibTeX XMLCite \textit{R. B. Paris}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2028, 3041--3052 (2002; Zbl 1049.33018) Full Text: DOI
Paris, R. B. On the use of Hadamard expansions in hyperasymptotic evaluation. II: Complex variables. (English) Zbl 1097.33503 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2016, 2855-2869 (2001). Reviewer: Nácere Hayek (La Laguna) MSC: 33C15 33F05 65D20 41A60 PDFBibTeX XMLCite \textit{R. B. Paris}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2016, 2855--2869 (2001; Zbl 1097.33503) Full Text: DOI
Kaminski, D.; Paris, R. B. Asymptotics via iterated Mellin-Barnes integrals: Application to the generalised Faxén integral. (English) Zbl 0920.41018 Methods Appl. Anal. 4, No. 3, 311-325 (1997). Reviewer: N.M.Temme (Amsterdam) MSC: 41A60 30E15 33E15 PDFBibTeX XMLCite \textit{D. Kaminski} and \textit{R. B. Paris}, Methods Appl. Anal. 4, No. 3, 311--325 (1997; Zbl 0920.41018) Full Text: DOI
Paris, R. B.; Wood, A. D. A model equation for optical tunnelling. (English) Zbl 0695.34057 IMA J. Appl. Math. 43, No. 3, 273-284 (1989). MSC: 34E10 78A55 34D10 PDFBibTeX XMLCite \textit{R. B. Paris} and \textit{A. D. Wood}, IMA J. Appl. Math. 43, No. 3, 273--284 (1989; Zbl 0695.34057) Full Text: DOI
Wood, Alastair D.; Paris, Richard B. Asymptotics of a model equation for optical tunneling. (English) Zbl 0694.34042 Boundary and interior layers - computational and asymptotic methods, Proc. 5th Int. Conf., BAIL-V, Shanghai/China 1988, Conf. Ser. 12, 380-385 (1988). Reviewer: V.Bach MSC: 34E10 81Q15 PDFBibTeX XML
Paris, R. B.; Wood, A. D. On the \(L^ 2\) nature of solutions of \(n\)th order symmetric differential equations and McLeod’s conjecture. (English) Zbl 0483.34014 Proc. R. Soc. Edinb., Sect. A 90, 209-236 (1981). MSC: 34A99 47E05 34E05 34D05 PDFBibTeX XMLCite \textit{R. B. Paris} and \textit{A. D. Wood}, Proc. R. Soc. Edinb., Sect. A, Math. 90, 209--236 (1981; Zbl 0483.34014) Full Text: DOI