Complex Differential and Difference Equations
Proceedings of the School and Conference held at Bedlewo, Poland, September 2-15, 2018
1st Edition
Published on 18. November 2019
X, 463 pages
978-3-11-061142-7 (ISBN)
Description
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.
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Galina Filipuk | Alberto Lastra | Slawomir Michalik
Complex Differential and Difference Equations
Proceedings of the School and Conference held at Bedlewo, Poland, September 2-15, 2018
Book
02/2024
1st Edition
De Gruyter
€189.95
Shipment within 7-9 days
Galina Filipuk | Alberto Lastra | Slawomir Michalik
Complex Differential and Difference Equations
Proceedings of the School and Conference held at Bedlewo, Poland, September 2-15, 2018
E-Book
11/2019
1st Edition
De Gruyter
€189.95
Available for download
Persons
G. Filipuk
,
S. Michalik
, and
H. Zoladek
, Warsaw, Poland;
A. Lastra
, Alcalá, Spain;
G. Lysik
, Kielce, Poland;
Y. Takei
, Kyoto, Japan.
Content
- Intro
- 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 F⊂&1&/sub& case
- Ultradiscrete limit of the spectral polynomial of the q-Heun equation
- Isomonodromy deformations with coalescing eigenvalues and applications - Bedlewo 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
