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Lay, Wolfgang

Higher special functions. A theory of the central two-point connection problem based on a singularity approach. (English) Zbl 07839202

Encyclopedia of Mathematics and its Applications 188. Cambridge: Cambridge University Press (ISBN 978-1-00-912319-8/hbk; 978-1-00-912841-4/ebook). xiv, 300 p. (2024).
Reviewer: Dmitry Artamonov (Moskva)
MSC:  33-01 34-01 33C05 33C20 33C45 33C47 33E30 34M03 34M25 34M30 34M35 81Q05 81Q10
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Khakimova, Zilya Nail’evna; Timofeeva, Larisa Nikolaevna; Atoyan, Aĭkanush Ashotovna

Applying a power transformation to the orbit of the 2nd Painlevé equation and solving differential equations with polynomial right-hand sides via the 2nd Painlevé transcendent and in polynomials. (Russian. English summary) Zbl 1540.34160

Differ. Uravn. Protsessy Upr. 2023, No. 4, 143-154 (2023).
Reviewer: Mengkun Zhu (Jinan)
MSC:  34M55 34M25 34A05
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Yoshino, Masafumi

Solution with movable singular points of some Hamiltonian system. (English) Zbl 1515.37063

Filipuk, Galina (ed.) et al., Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 – July 2, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 782, 207-218 (2023).
MSC:  37J65 34M25 34M30 34M35 40C15
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Suwińska, Maria

Summability of formal solutions for a family of linear moment integro-differential equations. (English) Zbl 1511.35083

Filipuk, Galina (ed.) et al., Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 – July 2, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 782, 167-192 (2023).
MSC:  35C10 35G10
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Chen, Guoting; Lastra, Alberto; Malek, Stéphane

Some notes on the parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms. (English) Zbl 1494.35066

Filipuk, Galina (ed.) et al., Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 – July 3, 2020. Singapore: World Scientific. 363-378 (2022).
Reviewer: Pascal Remy (Carrières-sur-Seine)
MSC:  35C10 35C20 44A10
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Ecalle, J.

Resurgent analysis of singularly perturbed differential systems: exit Stokes, enter tes. (English) Zbl 1501.35027

Manuilov, Vladimir M. (ed.) et al., Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6–9, 2018. Cham: Birkhäuser. Trends Math., 103-129 (2021).
MSC:  35B25 35C10 34M40 34A34
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Boulier, François; Falkensteiner, Sebastian; Noordman, Marc Paul; Sánchez, Omar León

On the relationship between differential algebra and tropical differential algebraic geometry. (English) Zbl 1512.14036

Boulier, François (ed.) et al., Computer algebra in scientific computing. 23rd international workshop, CASC 2021, Sochi, Russia, September 13–17, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12865, 62-77 (2021).
Reviewer: Cristhian Garay (Guanajuato)
MSC:  14T10 12H05 13N99 13F25 68W30
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