Complex Differential and Difference Equations : : Proceedings of the School and Conference held at Będlewo, Poland, September 2-15, 2018 / / ed. by Galina Filipuk, Alberto Lastra, Sławomir Michalik, Yoshitsugu Takei, Henryk Żołądek.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2020
• MitwirkendeR: Adachi, Shunya,; Dereziński, J.,; Fernández, Jorge Mozo,; Guzzetti, Davide,; Ichinobe, Kunio,; Izumi, Hideaki,; Kamimoto, Shingo,; Kato, Mitsuo,; Kojima, Kentaro,; Lastra, Alberto,; Lope, Jose Ernie C.,; Malek, Stéphane,; Mano, Toshiyuki,; Matsubara-Heo, Saiei-Jaeyeong,; Michalik, Sławomir,; Ona, Mark Philip F.,; Sato, Tsukasa,; Sekiguchi, Jiro,; Sendra, J. Rafael,; Suwińska, Maria,; Takahashi, Toshinori,; Takei, Yoshitsugu,; Takei, Yumiko,; Takemura, Kouichi,; Tanda, Mika,; Tkacz, Bożena,; Winkler, Franz,; Yoshino, Masafumi,; Zullo, Federico,
• HerausgeberIn: Filipuk, Galina,; Lastra, Alberto,; Michalik, Sławomir,; Takei, Yoshitsugu,; Żołądek, Henryk,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2019]; ©2020
• Year of Publication: 2019
• Language: English
• Series: De Gruyter Proceedings in Mathematics
• Physical Description: 1 online resource (X, 463 p.)
• Other title: Frontmatter --; Preface --; Contents --; Part I --; Group-theoretical origin of symmetries of hypergeometric class equations and functions --; The algebro-geometric solution method for algebraic differential equations – an introduction by examples --; Movable singularity of some Hamiltonian systems --; Some aspects of summability --; Convolution product and resurgence --; Part II --; The relation between the Bessel function and the Borel sum of the WKB solution --; A relation between the exact WKB analysis and the topological recursion – in the case of the Gauss hypergeometric differential equation --; On the solutions of the Airy equation and their zeros --; Intersection theory for Euler integral representations of GKZ hypergeometric functions: Appell’s F1 case --; Ultradiscrete limit of the spectral polynomial of the q-Heun equation --; Isomonodromy deformations with coalescing eigenvalues and applications – Będlewo 2018 --; Potential vector fields and isomonodromic tau functions in terms of flat coordinates --; Solutions to the extended WDVV equations and the Painlevé VI equation --; On the instanton-type expansions for Painlevé transcendents and elliptic functions --; Formal solutions to ordinary differential equation via dimensioned numbers --; Gevrey estimates for certain moment partial differential equations --; A Nagumo-type theorem for a class of singular nonlinear equations --; The Stokes phenomenon of the Cauchy problem for certain partial differential equations with variable coefficients depending on the time variable --; Some notes on the parametric Borel summability for linear singularly perturbed Cauchy problems with linear fractional transforms --; On k-summability of formal solutions to the Cauchy problems for some linear q-difference-differential equations
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110611427; 9783110696288; 9783110696271; 9783110610765; 9783110664232; 9783110610406; 9783110606362
• DOI: 10.1515/9783110611427
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: ed. by Galina Filipuk, Alberto Lastra, Sławomir Michalik, Yoshitsugu Takei, Henryk Żołądek.

With a balanced combination of longer survey articles and shorter, peer-reviewed research-level presentations on the topic of differential and difference equations on the complex domain, this edited volume presents an up-to-date overview of areas such as WKB analysis, summability, resurgence, formal solutions, integrability, and several algebraic aspects of differential and difference equations.