Burnol, Jean-François Digamma function and general Fischer series in the theory of Kempner sums. (English) Zbl 07961108 Expo. Math. 42, No. 6, Article ID 125604, 14 p. (2024). MSC: 11Y60 11M06 11A63 44A60 30C10 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dunster, T. M. Uniform asymptotic expansions for the zeros of Bessel functions. (English) Zbl 07928640 SIAM J. Math. Anal. 56, No. 5, 6521-6550 (2024). MSC: 33C10 34E05 34E20 26C10 30C15 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dell’Accio, Francesco; Di Tommaso, Filomena; Francomano, Elisa The enriched multinode Shepard collocation method for solving elliptic problems with singularities. (English) Zbl 1546.65125 Appl. Numer. Math. 205, 87-100 (2024). MSC: 65N35 65D05 41A10 35J05 35C20 × Cite Format Result Cite Review PDF Full Text: DOI
Lampret, Vito Accurate approximations of classical and generalized binomial coefficients. (English) Zbl 1546.33002 Comput. Appl. Math. 43, No. 6, Paper No. 341, 13 p. (2024). Reviewer: Thomas Ernst (Uppsala) MSC: 33B15 26D07 05A10 11B65 41A20 41A30 41A60 41A17 × Cite Format Result Cite Review PDF Full Text: DOI
Oliver, Marcel; Kenfack, Marc A. Tiofack Deterministic and stochastic surrogate models for a slowly driven fast oscillator. (English) Zbl 1546.34131 SIAM J. Appl. Dyn. Syst. 23, No. 2, 1090-1107 (2024). MSC: 34E13 34E15 34E05 34M35 34M40 41A20 37C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kieburg, Mario; Kuijlaars, Arno B. J.; Lahiry, Sampad Orthogonal polynomials in the normal matrix model with two insertions. arXiv:2408.12952 Preprint, arXiv:2408.12952 [math.CA] (2024). MSC: 42C05 30C10 30E25 60B20 41A60 × Cite Format Result Cite Full Text: arXiv
Derevianko, Nadiia Recovery of rational functions via Hankel pencil method and sensitivities of the poles. arXiv:2406.13192 Preprint, arXiv:2406.13192 [math.NA] (2024). MSC: 41A20 42A16 42C15 65D15 94A12 × Cite Format Result Cite Full Text: arXiv OA License
Burnol, Jean-François Un développement asymptotique des sommes harmoniques de Kempner-Irwin. arXiv:2404.13763 Preprint, arXiv:2404.13763 [math.NT] (2024). MSC: 11Y60 11M06 11A63 44A60 30C10 41A60 × Cite Format Result Cite Full Text: arXiv
Burnol, Jean-François Sur l’asymptotique des sommes de Kempner pour de grandes bases. arXiv:2403.01957 Preprint, arXiv:2403.01957 [math.NT] (2024). MSC: 11Y60 11M06 11A63 11B37 30C10 41A60 44A60 × Cite Format Result Cite Full Text: arXiv OA License
Serbenyuk, Symon Cantor series expansions of rational numbers. (English) Zbl 07894545 Commun. Math. 31, No. 1, 393-407 (2023). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11K55 11J72 26A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Lustri, Christopher J.; Crew, Samuel; Chapman, S. Jonathan Exponential asymptotics using numerical rational approximation in linear differential equations. (English) Zbl 1545.34083 ANZIAM J. 65, No. 4, 285-307 (2023). MSC: 34E15 34B40 34E05 34M40 41A20 34A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Xin; Deng, Changlin Asymptotic expansion for generalized Mathieu series. (English) Zbl 1532.41032 J. Math. Inequal. 17, No. 3, 1113-1127 (2023). MSC: 41A60 40A05 41A20 11B68 × Cite Format Result Cite Review PDF Full Text: DOI
Iserles, Arieh; Luong, Karen; Webb, Marcus Approximation of wave packets on the real line. (English) Zbl 1530.41025 Constr. Approx. 58, No. 1, 199-250 (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A60 42C05 41A20 42A16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Ligang; Dilz, Roeland J.; van Beurden, Martijn C. A rational-expansion-based method to compute Gabor coefficients of 2D indicator functions supported on polygonal domain. (English) Zbl 1540.65080 Math. Comput. Simul. 206, 487-502 (2023). MSC: 65D20 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii Gabor frames for rational functions. (English) Zbl 1512.42044 Invent. Math. 231, No. 2, 431-466 (2023). Reviewer: Rosario Corso (Palermo) MSC: 42C15 37N99 30D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Waldschmidt, Michel Lidstone interpolation. III: Several variables. (English) Zbl 1507.41012 Trans. Am. Math. Soc., Ser. B 10, 201-219 (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 32A08 32A15 41A05 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Derevianko, Nadiia; Plonka, Gerlind; Razavi, Raha ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application. (English) Zbl 07644397 Numer. Algorithms 92, No. 1, 437-470 (2023). MSC: 65-XX 41A20 42A16 42C15 65D15 94A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sastre, Jorge; Ibáñez, Javier On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions. (English) Zbl 1502.65022 J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023). MSC: 65F60 65D15 15A16 26C15 41-04 41A10 × Cite Format Result Cite Review PDF Full Text: DOI
Derevianko, Nadiia; Plonka, Gerlind Differential approximation of the Gaussian by short cosine sums with exponential error decay. arXiv:2307.13587 Preprint, arXiv:2307.13587 [math.NA] (2023). MSC: 41A20 42A16 42C15 65D15 94A12 × Cite Format Result Cite Full Text: arXiv OA License
Parveen; Dahiya, Sunita; Kumar, Hitender; Kumar, Anand; Gautam, Manjeet Singh New optical dromion and domain wall solutions of cascaded system in \((2+1)\)-dimensions via various analytical architectures. (English) Zbl 1492.35317 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 100, 39 p. (2022). MSC: 35Q55 35Q41 78A60 78A50 35C20 35C08 35C09 33E05 33C45 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
López, José L.; Pagola, Pedro J.; Palacios, Pablo New analytic representations of the hypergeometric functions \({}_{p+1}F_p\). (English) Zbl 1520.33001 Constr. Approx. 55, No. 3, 891-917 (2022). MSC: 33C05 41A20 41A58 65D20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Derevianko, Nadiia; Plonka, Gerlind Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients. (English) Zbl 1503.41008 Anal. Appl., Singap. 20, No. 3, 543-577 (2022). MSC: 41A20 42A16 42C15 65D15 94A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andrei, Diana; Nevanlinna, Olavi; Vesanen, Tiina Rational functions as new variables. (English) Zbl 1492.30005 Banach J. Math. Anal. 16, No. 3, Paper No. 37, 22 p. (2022). MSC: 30B10 30C10 30E99 46J10 47A25 47A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mardešić, Pavao; Resman, Maja Realization of analytic moduli for parabolic Dulac germs. (English) Zbl 1485.37041 Ergodic Theory Dyn. Syst. 42, No. 1, 195-249 (2022). MSC: 37F05 37F10 37F75 37C15 32B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bodmann, Bernhard G.; Abouserie, Ahmed Spikes, Roots, and Modulations: Phase Retrieval for Finitely-Supported Complex Measures. arXiv:2204.00190 Preprint, arXiv:2204.00190 [math.FA] (2022). MSC: 42C15 30C15 × Cite Format Result Cite Full Text: arXiv OA License
Petz, Markus; Plonka, Gerlind; Derevianko, Nadiia Exact reconstruction of sparse non-harmonic signals from their Fourier coefficients. (English) Zbl 1496.94019 Sampl. Theory Signal Process. Data Anal. 19, No. 1, Paper No. 7, 36 p. (2021). Reviewer: Mariarosaria Natale (Firenze) MSC: 94A12 41A20 42A16 42C15 65D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hamana, Yuji; Kaikura, Ryo; Shinozaki, Kosuke Asymptotic expansions for the first hitting times of Bessel processes. (English) Zbl 1481.60082 Opusc. Math. 41, No. 4, 509-537 (2021). MSC: 60G40 60J60 41A60 30C10 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior. (English) Zbl 1476.11061 Rassias, Themistocles M. (ed.), Approximation theory and analytic inequalities. Cham: Springer. 435-486 (2021). MSC: 11B68 05A15 05A19 12D10 30C10 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Nemes, Gergö Proofs of two conjectures on the real zeros of the cylinder and Airy functions. (English) Zbl 1487.41041 SIAM J. Math. Anal. 53, No. 4, 4328-4349 (2021). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 33C10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Serbenyuk, S. Rational numbers defined in terms of certain generalized series. (English) Zbl 1488.11117 Acta Math. Hung. 164, No. 2, 580-592 (2021). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 11K55 11J72 26A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aktaş, I.; Toklu, E.; Orhan, H. Radii of \(k\)-Starlikeness of order \(\alpha\) of Struve and Lommel functions. (English) Zbl 1474.30042 Miskolc Math. Notes 22, No. 1, 5-15 (2021). MSC: 30C45 30C15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Štampach, František Asymptotic behavior and zeros of the Bernoulli polynomials of the second kind. (English) Zbl 1478.11029 J. Approx. Theory 262, Article ID 105517, 29 p. (2021). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B68 30C15 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paris, R B Asymptotic expansion of the Wright function for large variable and parameter. arXiv:2110.06690 Preprint, arXiv:2110.06690 [math.CA] (2021). MSC: 33C10 34E05 41A20 41A60 × Cite Format Result Cite Full Text: arXiv
Toklu, Evrim Radii of starlikeness and convexity of generalized Struve functions. (English) Zbl 1488.30136 Hacet. J. Math. Stat. 49, No. 4, 1216-1233 (2020). MSC: 30C45 30C15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Jian-Mei; Yang, Zhen-Hang; Qian, Wei-Mao; Zhang, Wen; Chu, Yu-Ming Sharp rational bounds for the gamma function. (English) Zbl 1455.33002 Math. Inequal. Appl. 23, No. 3, 843-853 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 33B15 26D07 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Maass, Fernando; Martin, Pablo; Olivares, Jorge Analytic approximation to Bessel function \(J_0(x)\). (English) Zbl 1474.65043 Comput. Appl. Math. 39, No. 3, Paper No. 222, 12 p. (2020). MSC: 65D20 33C10 33F05 41A20 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Bauer, Sebastian A post-Newtonian expansion including radiation damping for a collisionless plasma. (English) Zbl 1439.82044 J. Nonlinear Sci. 30, No. 1, 487-536 (2020). Reviewer: Vladimir Čadež (Beograd) MSC: 82D10 44A15 41A20 35Q83 35Q60 30E10 30E15 × Cite Format Result Cite Review PDF Full Text: DOI
Sarumi, Ibrahim O.; Furati, Khaled M.; Khaliq, Abdul Q. M. Highly accurate global Padé approximations of generalized Mittag-Leffler function and its inverse. (English) Zbl 1440.65100 J. Sci. Comput. 82, No. 2, Paper No. 46, 27 p. (2020). MSC: 65M06 33E12 41A21 35C20 26A33 35R11 74F10 74K20 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bothner, Thomas; Miller, Peter D. Rational solutions of the Painlevé-III equation: large parameter asymptotics. (English) Zbl 1435.34093 Constr. Approx. 51, No. 1, 123-224 (2020). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 34M50 33E17 34E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mickens, Ronald E.; Herron, Isom H. Dynamically Consistent Approximate Rational Solutions to the Thomas-Fermi Equation. arXiv:2011.09889 Preprint, arXiv:2011.09889 [math.CA] (2020). MSC: 34A45 34B40 34E05 41A20 81V45 × Cite Format Result Cite Full Text: arXiv
Chen, Chao-Ping; Wang, Qin Asymptotic expansions and continued fraction approximations for harmonic number. (English) Zbl 1513.40010 Appl. Anal. Discrete Math. 13, No. 2, 569-582 (2019). MSC: 40A15 41A60 11J70 41A20 × Cite Format Result Cite Review PDF Full Text: DOI
Toklu, Evrim; Aktaş, İbrahim; Orhan, Halit Radii problems for normalized \(q\) Bessel and Wright functions. (English) Zbl 1432.30016 Acta Univ. Sapientiae, Math. 11, No. 1, 203-223 (2019). MSC: 30C45 30C15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Qu, Wei; Dang, Pei Reproducing kernel approximation in weighted Bergman spaces: algorithm and applications. (English) Zbl 1440.42009 Math. Methods Appl. Sci. 42, No. 12, 4292-4304 (2019). MSC: 42A16 42A20 41A30 30B99 × Cite Format Result Cite Review PDF Full Text: DOI
Lupu, Cezar; Orr, Derek Series representations for the Apéry constant \(\zeta (3)\) involving the values \(\zeta (2n)\). (English) Zbl 1454.11228 Ramanujan J. 48, No. 3, 477-494 (2019). Reviewer: Vlad Alexandru Matei (Tel Aviv) MSC: 11Y60 11M06 41A58 33E05 40B99 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Komarov, M. A. A note on rational approximations to \(e^x\), constructed by Németh and Newman. (English) Zbl 1416.41015 J. Approx. Theory 240, 126-128 (2019). Reviewer: Alexei Lukashov (Saratov) MSC: 41A20 41A21 41A60 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Szabłowski, Paweł J. On probabilistic aspects of Chebyshev polynomials. (English) Zbl 1412.62063 Stat. Probab. Lett. 145, 205-215 (2019). MSC: 62H10 41A50 60E05 42A16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thabet, Faouzi Lemniscates as Trajectories of Quadratic Differentials (I). arXiv:1901.07382 Preprint, arXiv:1901.07382 [math.CA] (2019). MSC: 30C15 31A35 34E05 × Cite Format Result Cite Full Text: arXiv OA License
Vartanian, Arthur H.; Zhou, Xin Riemann-Hilbert Characterisation of Rational Functions with a General Distribution of Poles on the Extended Real Line Orthogonal with Respect to Varying Exponential Weights: Multi-Point Padé Approximants and Asymptotics. arXiv:1912.00500 Preprint, arXiv:1912.00500 [math.CA] (2019). MSC: 41A20 41A21 41A60 42C05 30C15 30E15 30E20 30E25 × Cite Format Result Cite Full Text: arXiv OA License
Thabet, Faouzi Recurrent Trajectories and Finite Critical Trajectories of Quadratic Differentials on the Riemann Sphere. arXiv:1903.03665 Preprint, arXiv:1903.03665 [math.CA] (2019). MSC: 30C15 31A35 34E05 × Cite Format Result Cite Full Text: arXiv OA License
Hueso, José L.; Martínez, Eulalia; Gupta, D. K.; Cevallos, Fabricio A note on “Convergence radius of Osada’s method under Hölder continuous condition”. (English) Zbl 1426.65066 Appl. Math. Comput. 321, 689-699 (2018). MSC: 65H05 65J15 41A58 37F10 37F50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aktaş, İbrahim; Baricz, Árpád; Orhan, Halit Bounds for radii of starlikeness and convexity of some special functions. (English) Zbl 1424.30019 Turk. J. Math. 42, No. 1, 211-226 (2018). MSC: 30C45 30C15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aktaş, Ibrahim; Toklu, Evrim; Orhan, Halit Radii of uniform convexity of some special functions. (English) Zbl 1424.30020 Turk. J. Math. 42, No. 6, 3010-3024 (2018). MSC: 30C45 30C15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blagouchine, Iaroslav V.; Coppo, Marc-Antoine A note on some constants related to the zeta-function and their relationship with the Gregory coefficients. (English) Zbl 1442.11120 Ramanujan J. 47, No. 2, 457-473 (2018). MSC: 11M06 41A20 65D20 65D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Wang, Liuquan; Zhang, Cheng Zeros of the deformed exponential function. (English) Zbl 1392.30004 Adv. Math. 332, 311-348 (2018). MSC: 30C15 41A60 11M36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shapiro, Boris; Solynin, Alexander Root-counting measures of Jacobi polynomials and topological types and critical geodesics of related quadratic differentials. (English) Zbl 1406.30003 Andersson, Mats (ed.) et al., Analysis meets geometry. The Mikael Passare memorial volume. Cham: Birkhäuser/Springer (ISBN 978-3-319-52469-6/hbk; 978-3-319-52471-9/ebook). Trends in Mathematics, 369-438 (2017). MSC: 30C10 30C15 31A35 34E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aktaş, Ibrahim; Baricz, Árpád; Yağmur, Nihat Bounds for the radii of univalence of some special functions. (English) Zbl 1377.30006 Math. Inequal. Appl. 20, No. 3, 825-843 (2017). MSC: 30C45 30C15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aktaş, İbrahim; Baricz, Árpád Bounds for radii of starlikeness of some \(q\)-Bessel functions. (English) Zbl 1371.30013 Result. Math. 72, No. 1-2, 947-963 (2017). MSC: 30C45 30C15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Zhen-Hang; Qian, Wei-Mao; Chu, Yu-Ming; Zhang, Wen On rational bounds for the gamma function. (English) Zbl 1370.41056 J. Inequal. Appl. 2017, Paper No. 210, 17 p. (2017). MSC: 41A60 33B15 26D07 × Cite Format Result Cite Review PDF Full Text: DOI
Aptekarev, Alexander I.; Bogolyubskii, Aleksei I.; Yattselev, Maxim L. Convergence of ray sequences of Frobenius-Padé approximants. (English. Russian original) Zbl 1373.41009 Sb. Math. 208, No. 3, 313-334 (2017); translation from Mat. Sb. 208, No. 3, 4-27 (2017). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A20 41A21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link Link
Verger-Gaugry, Jean-Louis On the conjecture of Lehmer, limit Mahler measure of trinomials and asymptotic expansions. (English) Zbl 1455.11143 Unif. Distrib. Theory 11, No. 1, 79-139 (2016). MSC: 11R06 11R09 11K16 11K38 30B10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Apetrei, Diana; Nevanlinna, Olavi Multicentric calculus and the Riesz projection. (English) Zbl 1399.30016 J. Numer. Anal. Approx. Theory 44, No. 2, 127-145 (2015). MSC: 30B99 32E30 34L16 47A10 47A60 × Cite Format Result Cite Review PDF Full Text: arXiv
Forgács, Tamás; Piotrowski, Andrzej Hermite multiplier sequences and their associated operators. (English) Zbl 1327.30010 Constr. Approx. 42, No. 3, 459-479 (2015). MSC: 30C15 26C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Favre, C.; Gauthier, T. Distribution of postcritically finite polynomials. (English) Zbl 1352.37202 Isr. J. Math. 209, Part 1, 235-292 (2015). MSC: 37P05 11K55 37P30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Bodmann, Bernhard G.; Hammen, Nathaniel Stable phase retrieval with low-redundancy frames. (English) Zbl 1316.42035 Adv. Comput. Math. 41, No. 2, 317-331 (2015). MSC: 42C15 15A29 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shmoĭlov, V. I.; Redin, N. A.; Nikulin, N. A. Continued fractions in numerical mathematics. (Непрерывные дроби в вычислительной математике.) (Russian) Zbl 1320.65001 Rostov-on-Don: Izd. Yuzhnogo Federal’nogo Universiteta. 227 p. (2015). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65-01 65B10 41-01 65D05 65D20 65H10 41A05 41A20 11A55 11Y65 30B70 40A15 × Cite Format Result Cite Review PDF
Neuschel, Thorsten Apéry polynomials and the multivariate saddle point method. (English) Zbl 1304.30050 Constr. Approx. 40, No. 3, 487-507 (2014). MSC: 30E15 41A60 30C10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gawronski, Wolfgang; Neuschel, Thorsten On a conjecture on sparse binomial-type polynomials by Brown, Dilcher and Manna. (English) Zbl 1300.30010 Anal. Appl., Singap. 12, No. 5, 511-522 (2014). MSC: 30C10 30E15 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oguiso, Keiji; Truong, Tuyen Trung Salem numbers in dynamics on Kähler threefolds and complex tori. (English) Zbl 1380.37094 Math. Z. 278, No. 1-2, 93-117 (2014). MSC: 37F10 32H50 11K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paris, R B The Stokes phenomenon associated with the periodic zeta function \(F(a,s)\). arXiv:1407.2782 Preprint, arXiv:1407.2782 [math.CA] (2014). MSC: 34E05 30C15 30E15 34E05 41A60 × Cite Format Result Cite Full Text: arXiv OA License
Paris, R B Comments on ”Exactification of Stirling’s approximation for the logarithm of the gamma function”. arXiv:1406.1320 Preprint, arXiv:1406.1320 [math.CA] (2014). MSC: 34E05 30C15 30E15 34E05 41A60 × Cite Format Result Cite Full Text: arXiv OA License
Totik, Vilmos Erdős on polynomials. (English) Zbl 1295.42010 Lovász, László (ed.) et al., Erdős centennial. On the occasion of Paul Erdős 100th anniversary of his birth. Berlin: Springer; Budapest: János Bolyai Mathematical Society (ISBN 978-3-642-39285-6/hbk; 978-3-642-39286-3/ebook). Bolyai Society Mathematical Studies 25, 683-709 (2013). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 41A10 01A70 11C08 26C10 30C10 30C15 41-02 41-03 × Cite Format Result Cite Review PDF Full Text: DOI Link
Deaño, Alfredo; Huertas, Edmundo J.; Marcellán, Francisco Strong and ratio asymptotics for Laguerre polynomials revisited. (English) Zbl 1285.33009 J. Math. Anal. Appl. 403, No. 2, 477-486 (2013). MSC: 33C45 42C05 30C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Corless, Robert M.; Lawrence, Piers W. The largest roots of the Mandelbrot polynomials. (English) Zbl 1280.37040 Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 305-324 (2013). MSC: 37F10 37F45 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
López, José L.; Temme, Nico M. New series expansions of the Gauss hypergeometric function. (English) Zbl 1276.33006 Adv. Comput. Math. 39, No. 2, 349-365 (2013). MSC: 33C05 41A58 41A20 65D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hawkins, Jane M. Proof of a folklore Julia set connectedness theorem and connections with elliptic functions. (English) Zbl 1279.37033 Conform. Geom. Dyn. 17, 26-38 (2013). Reviewer: Yuefei Wang (Beijing) MSC: 37F10 37F45 30D05 30B99 × Cite Format Result Cite Review PDF Full Text: DOI
Dimitrov, Vesselin A note on a generalization of the Hadamard quotient theorem. arXiv:1309.1920 Preprint, arXiv:1309.1920 [math.NT] (2013). MSC: 11G50 11G30 41A20 41A21 41A58 30F15 30C85 30C80 × Cite Format Result Cite Full Text: arXiv OA License
Kouba, Omran Partial fraction expansions for Newton’s and Halley’s iterations for square roots. (English) Zbl 1292.65044 Kyungpook Math. J. 52, No. 3, 347-357 (2012). MSC: 65H04 65E05 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Lihua; He, Guoliang; Geng, Xianguo Algebro-geometric solutions to the modified Sawada-Kotera hierarchy. (English) Zbl 1284.37053 J. Math. Phys. 53, No. 12, 123513, 23 p. (2012). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K10 35Q51 35C20 37F10 14H42 14H45 × Cite Format Result Cite Review PDF Full Text: DOI
Arvesú, Jorge (ed.); López Lagomasino, Guillermo (ed.) Recent advances in orthogonal polynomials, special functions, and their applications. 11th international symposium, Universidad Carlos III de Madrid, Leganés, Spain, August 29 – September 2, 2011. Proceedings. (English) Zbl 1250.00015 Contemporary Mathematics 578. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6896-6/pbk). x, 254 p. (2012). MSC: 00B25 33-06 30-06 41-06 42-06 33C45 33C47 30E10 41A20 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Cooper, Shaun Level 10 analogues of Ramanujan’s series for \(1/\pi\). (English) Zbl 1282.11032 J. Ramanujan Math. Soc. 27, No. 1, 59-76 (2012). Reviewer: Cristinel Mortici (Târgovişte) MSC: 11Y60 11F11 11F27 33C05 33E05 05A10 × Cite Format Result Cite Review PDF
Andrievskii, V. V.; Blatt, H.-P.; Kovacheva, R. K. On the distribution of zeros and poles of rational approximants on intervals. (English) Zbl 1250.41005 Abstr. Appl. Anal. 2012, Article ID 961209, 21 p. (2012). MSC: 41A20 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Khwaja, S. Farid; Daalhuis, A. B. Olde Uniform asymptotic approximations for the Meixner-Sobolev polynomials. (English) Zbl 1248.33025 Anal. Appl., Singap. 10, No. 3, 345-361 (2012). MSC: 33C47 33C10 30E15 41A60 30C15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Nevanlinna, Olavi Multicentric holomorphic calculus. (English) Zbl 1337.47021 Comput. Methods Funct. Theory 12, No. 1, 45-65 (2012). Reviewer: Evgueni Doubtsov (St. Petersburg) (MR2977278) MSC: 47A60 46H30 47A10 30B99 32E30 34L16 × Cite Format Result Cite Review PDF Full Text: DOI
Borcea, Julius; Bøgvad, Rikard; Shapiro, Boris Corrigendum: “Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions”. (English) Zbl 1235.30003 Publ. Res. Inst. Math. Sci. 48, No. 1, 229-233 (2012). MSC: 30C15 31A35 34E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aptekarev, A. I. Preface to: Rational approximants for the Euler constant. (English. Russian original) Zbl 1370.11001 Proc. Steklov Inst. Math. 272, Suppl. 2, S138-S141 (2011); translation from Sovrem. Probl. Mat. 9, 5-10 (2007). MSC: 11-06 40-06 41-06 00B15 11Y60 40A25 41A20 × Cite Format Result Cite Review PDF Full Text: DOI
Bruno, A. D.; Batkhin, A. B. Asymptotic solution of an algebraic equation. (English. Russian original) Zbl 1236.65049 Dokl. Math. 84, No. 2, 634-639 (2011); translation from Dokl. Akad. Nauk 440, No. 3, 295-300 (2011). MSC: 65H04 26C10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Petrushev, P. P.; Popov, V. A. Rational approximation of real functions. Reprint of the 1987 hardback edition. (English) Zbl 1209.41002 Encyclopedia of Mathematics and its Applications 28. Cambridge: Cambridge University Press (ISBN 978-0-521-17740-5/pbk). xi, 371 p. (2011). MSC: 41A20 41-02 41A21 41A17 41A25 41A15 × Cite Format Result Cite Review PDF
Kraus, Christiane Bernstein-Walsh type theorems for real analytic functions in several variables. (English) Zbl 1230.41002 Constr. Approx. 33, No. 2, 191-217 (2011). Reviewer: Wiesław Pleśniak (Kraków) MSC: 41A17 41A10 41A60 41A63 41A25 32U35 32U05 32E30 32D20 × Cite Format Result Cite Review PDF Full Text: DOI
Foulquié Moreno, A.; Martínez-Finkelshtein, A.; Sousa, V. L. Asymptotics of orthogonal polynomials for a weight with a jump on \([-1,1]\). (English) Zbl 1213.42090 Constr. Approx. 33, No. 2, 219-263 (2011). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 30C15 33C15 41A60 46E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Shapiro, Boris Algebro-geometric aspects of Heine-Stieltjes theory. (English) Zbl 1210.34127 J. Lond. Math. Soc., II. Ser. 83, No. 1, 36-56 (2011). MSC: 34L40 34L10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ward, Mark Daniel Asymptotic rational approximation to pi: solution of an “unsolved problem” posed by Herbert Wilf. (English) Zbl 1355.05031 Drmota, Michael (ed.) et al., Proceeding of the 21st international meeting on probabilistic, combinatorial, and asymptotic methods in the analysis of algorithms (AofA’10), Vienna, Austria, June 28 – July 2, 2010. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 591-602 (2010). MSC: 05A15 41A60 33F05 41A20 × Cite Format Result Cite Review PDF Full Text: Link
Kurbanov, Vali M.; Ismailova, Aytekin I. Equiconvergence theorems for expansion by the root-functions of Dirac operator. (English) Zbl 1235.34223 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 33, 111-126 (2010). MSC: 34L10 41A20 34L40 47E05 × Cite Format Result Cite Review PDF Full Text: Link
Stawiska, Małgorzata Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields. (English) Zbl 1229.13017 Commentat. Math. 50, No. 2, 155-159 (2010). Reviewer: Ali Benhissi (Monastir) MSC: 13F25 41A58 12Y99 × Cite Format Result Cite Review PDF Full Text: arXiv
Vassilev, Peter On one trinomial equation and its solution. (English) Zbl 1220.30007 Adv. Stud. Contemp. Math., Kyungshang 20, No. 4, 489-497 (2010). MSC: 30C15 41A58 × Cite Format Result Cite Review PDF
Borghi, Riccardo Asymptotic and factorial expansions of Euler series truncation errors via exponential polynomials. (English) Zbl 1203.30006 Appl. Numer. Math. 60, No. 12, 1242-1250 (2010). MSC: 30C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Erdélyi, T. George Lorentz and inequalities in approximation. (English. Russian original) Zbl 1203.41001 St. Petersbg. Math. J. 21, No. 3, 365-405 (2010); translation from Algebra Anal. 21, No. 3, 1-57 (2009). Reviewer: T. D. Narang (Amritsar) MSC: 41-02 30C15 41A17 41A63 42A05 × Cite Format Result Cite Review PDF Full Text: DOI
Jafarov, Sadulla Z. Approximation of continuous functions on V. K. Dzjadyk curves. (English) Zbl 1240.30183 Stud. Univ. Babeș-Bolyai, Math. 54, No. 1, 107-118 (2009). MSC: 30E10 41A10 41A25 41A58 × Cite Format Result Cite Review PDF
Borcea, Julius; Bøgvad, Rikard; Shapiro, Boris Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions. (English) Zbl 1182.30008 Publ. Res. Inst. Math. Sci. 45, No. 2, 525-568 (2009); corrigendum 48, No. 1, 229-233 (2012). Reviewer: Eligiusz Złotkiewicz (Lublin) MSC: 30C15 31A35 34E05 × Cite Format Result Cite Review PDF Full Text: DOI
Navascués, M. A. Local variability of non-smooth functions. (English) Zbl 1181.26010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 7, 2506-2518 (2009). Reviewer: Shingo Saito (Kyushu) MSC: 26A27 41A58 26A12 26C99 54C30 26A24 × Cite Format Result Cite Review PDF Full Text: DOI
Lubinsky, D. S.; Sidi, A. Zero distribution of composite polynomials and polynomials biorthogonal to exponentials. (English) Zbl 1181.42027 Constr. Approx. 28, No. 3, 343-371 (2008). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 30C15 41A99 × Cite Format Result Cite Review PDF Full Text: DOI