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.
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...
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Superior document: | Title is part of eBook package: De Gruyter DG Ebook Package English 2020 |
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MitwirkendeR: | |
HerausgeberIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2020 |
Year of Publication: | 2019 |
Language: | English |
Series: | De Gruyter Proceedings in Mathematics
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Online Access: | |
Physical Description: | 1 online resource (X, 463 p.) |
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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 |
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Summary: | 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. |
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. |