Nagano, Toshio; Miyazaki, Naoya Oscillatory integrals with phase functions of positive real powers and asymptotic expansions. arXiv:2203.13047 Preprint, arXiv:2203.13047 [math.CA] (2022). MSC: 42B20 41A60 33B20 BibTeX Cite \textit{T. Nagano} and \textit{N. Miyazaki}, ``Oscillatory integrals with phase functions of positive real powers and asymptotic expansions'', Preprint, arXiv:2203.13047 [math.CA] (2022) Full Text: arXiv OA License
Berg, Christian; Koumandos, Stamatis; Pedersen, Henrik L. Nielsen’s beta function and some infinitely divisible distributions. (English) Zbl 07746461 Math. Nachr. 294, No. 3, 426-449 (2021). Reviewer: Thomas Ernst (Uppsala) MSC: 33B15 33B20 44A10 41A80 42A38 26A48 PDFBibTeX XMLCite \textit{C. Berg} et al., Math. Nachr. 294, No. 3, 426--449 (2021; Zbl 07746461) Full Text: DOI arXiv
Nagano, Toshio; Miyazaki, Naoya Generalized Fresnel integrals as oscillatory integrals with positive real power phase functions and applications to asymptotic expansions. arXiv:2005.12754 Preprint, arXiv:2005.12754 [math.CA] (2020). MSC: 42B20 41A60 33B20 BibTeX Cite \textit{T. Nagano} and \textit{N. Miyazaki}, ``Generalized Fresnel integrals as oscillatory integrals with positive real power phase functions and applications to asymptotic expansions'', Preprint, arXiv:2005.12754 [math.CA] (2020) Full Text: arXiv OA License
Nagano, Toshio On asymptotic expansions of oscillatory integrals with phase functions expressed by a product of positive real power function and real analytic function in one variable. arXiv:2010.11141 Preprint, arXiv:2010.11141 [math.CA] (2020). MSC: 42B20 41A60 33B20 BibTeX Cite \textit{T. Nagano}, ``On asymptotic expansions of oscillatory integrals with phase functions expressed by a product of positive real power function and real analytic function in one variable'', Preprint, arXiv:2010.11141 [math.CA] (2020) Full Text: arXiv OA License
Nagano, Toshio; Miyazaki, Naoya On Singular Points and Oscillatory Integrals. arXiv:1906.01438 Preprint, arXiv:1906.01438 [math.CA] (2019). MSC: 42B20 41A60 33B20 BibTeX Cite \textit{T. Nagano} and \textit{N. Miyazaki}, ``On Singular Points and Oscillatory Integrals'', Preprint, arXiv:1906.01438 [math.CA] (2019) Full Text: arXiv OA License
Barry, Paul Sigmoid functions and exponential Riordan arrays. arXiv:1702.04778 Preprint, arXiv:1702.04778 [math.CA] (2017). MSC: 33B10 33B20 42C05 11C20 15B36 05A15 BibTeX Cite \textit{P. Barry}, ``Sigmoid functions and exponential Riordan arrays'', Preprint, arXiv:1702.04778 [math.CA] (2017) Full Text: arXiv OA License
Dechevsky, Lubomir T. Evaluation of Beta-function B-splines. III: Global monomial bases. (English) Zbl 1229.41007 Int. J. Pure Appl. Math. 65, No. 3, 323-338 (2010). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 33B15 33B20 65D07 33F05 41A30 42A38 44A10 65D05 65D20 65D30 PDFBibTeX XMLCite \textit{L. T. Dechevsky}, Int. J. Pure Appl. Math. 65, No. 3, 323--338 (2010; Zbl 1229.41007) Full Text: Link
Novikov, I. Ya. Asymptotics of the roots of Bernstein polynomials used in the construction of modified Daubechies wavelets. (English. Russian original) Zbl 1034.42040 Math. Notes 71, No. 2, 217-229 (2002); translation from Mat. Zametki 71, No. 2, 239-253 (2002). Reviewer: N. M. Temme (Amsterdam) MSC: 42C40 33B20 33E20 PDFBibTeX XMLCite \textit{I. Ya. Novikov}, Math. Notes 71, No. 2, 217--229 (2002; Zbl 1034.42040); translation from Mat. Zametki 71, No. 2, 239--253 (2002) Full Text: DOI
Talvila, Erik Some divergent trigonometric integrals. (English) Zbl 0982.65025 Am. Math. Mon. 108, No. 5, 432-436 (2001). Reviewer: Luigi Gatteschi (Torino) MSC: 65D20 42A16 65T40 33B20 PDFBibTeX XMLCite \textit{E. Talvila}, Am. Math. Mon. 108, No. 5, 432--436 (2001; Zbl 0982.65025) Full Text: DOI arXiv
Milovanović, G. V. Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures. (English) Zbl 0932.65023 Comput. Math. Appl. 36, No. 8, 19-39 (1998). MSC: 65D32 65D20 33B20 33C45 41A55 42A16 65T40 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Comput. Math. Appl. 36, No. 8, 19--39 (1998; Zbl 0932.65023) Full Text: DOI
Oskolkov, K. Schrödinger equation and oscillatory Hilbert transforms of second degree. (English) Zbl 0912.35052 J. Fourier Anal. Appl. 4, No. 3, 341-356 (1998). MSC: 35J10 42A16 11L07 11T24 33B20 PDFBibTeX XMLCite \textit{K. Oskolkov}, J. Fourier Anal. Appl. 4, No. 3, 341--356 (1998; Zbl 0912.35052) Full Text: DOI EuDML
Monkenbusch, Michael A set of routines for efficient and accurate computation of lattice sums of \(1/r^ n\)-potentials. (English) Zbl 0875.65038 Comput. Phys. Commun. 67, No. 2, 343-355 (1991). MSC: 65D20 65B10 82B20 65T40 82D25 82-04 42A38 PDFBibTeX XMLCite \textit{M. Monkenbusch}, Comput. Phys. Commun. 67, No. 2, 343--355 (1991; Zbl 0875.65038) Full Text: DOI
Daubechies, Ingrid Time-frequency localization operators: A geometric phase space approach. (English) Zbl 0672.42007 IEEE Trans. Inf. Theory 34, No. 4, 605-612 (1988). Reviewer: L.Goras MSC: 42A38 47A05 33E10 33C45 PDFBibTeX XMLCite \textit{I. Daubechies}, IEEE Trans. Inf. Theory 34, No. 4, 605--612 (1988; Zbl 0672.42007) Full Text: DOI Link