Complex Differential and Difference Equations: Proceedings of the School and Conference held at Będlewo, Poland, September 2-15, 2018

Book

Complex Differential and Difference Equations

Proceedings of the School and Conference held at Będlewo, Poland, September 2-15, 2018

Edited by: Galina Filipuk , Alberto Lastra , Sławomir Michalik , Yoshitsugu Takei and Henryk Żołądek

Language: English

Published/Copyright: 2020

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This book is in the series

De Gruyter Proceedings in Mathematics

About this book

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.

A collection of select articles in complex differential and difference equations
Documents the presentations of an international school and conference
Covers topics such as WKB analysis, summability, formal solutions, integrability, etc.

Author / Editor information

G. Filipuk, S. Michalik, and H. Żołądek, Warsaw, Poland; A. Lastra, Alcalá, Spain; G. Łysik, Kielce, Poland; Y. Takei, Kyoto, Japan.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Contents Publicly Available Download PDF	IX
Part I
Group-theoretical origin of symmetries of hypergeometric class equations and functions J. Dereziński Requires Authentication Unlicensed Licensed	3
The algebro-geometric solution method for algebraic differential equations – an introduction by examples J. Rafael Sendra and Franz Winkler Requires Authentication Unlicensed Licensed	129
Movable singularity of some Hamiltonian systems Masafumi Yoshino Requires Authentication Unlicensed Licensed	147
Some aspects of summability Jorge Mozo Fernández Requires Authentication Unlicensed Licensed	171
Convolution product and resurgence Shingo Kamimoto Requires Authentication Unlicensed Licensed	219
Part II
The relation between the Bessel function and the Borel sum of the WKB solution Toshinori Takahashi and Mika Tanda Requires Authentication Unlicensed Licensed	245
A relation between the exact WKB analysis and the topological recursion – in the case of the Gauss hypergeometric differential equation Yumiko Takei Requires Authentication Unlicensed Licensed	259
On the solutions of the Airy equation and their zeros Federico Zullo Requires Authentication Unlicensed Licensed	267
Intersection theory for Euler integral representations of GKZ hypergeometric functions: Appell’s F₁ case Saiei-Jaeyeong Matsubara-Heo Requires Authentication Unlicensed Licensed	283
Ultradiscrete limit of the spectral polynomial of the q-Heun equation Kentaro Kojima, Tsukasa Sato and Kouichi Takemura Requires Authentication Unlicensed Licensed	297
Isomonodromy deformations with coalescing eigenvalues and applications – Będlewo 2018 Davide Guzzetti Requires Authentication Unlicensed Licensed	313
Potential vector fields and isomonodromic tau functions in terms of flat coordinates Toshiyuki Mano Requires Authentication Unlicensed Licensed	327
Solutions to the extended WDVV equations and the Painlevé VI equation Mitsuo Kato, Toshiyuki Mano and Jiro Sekiguchi Requires Authentication Unlicensed Licensed	343
On the instanton-type expansions for Painlevé transcendents and elliptic functions Yoshitsugu Takei Requires Authentication Unlicensed Licensed	365
Formal solutions to ordinary differential equation via dimensioned numbers Hideaki Izumi Requires Authentication Unlicensed Licensed	379
Gevrey estimates for certain moment partial differential equations Sławomir Michalik and Maria Suwińska Requires Authentication Unlicensed Licensed	391
A Nagumo-type theorem for a class of singular nonlinear equations Mark Philip F. Ona and Jose Ernie C. Lope Requires Authentication Unlicensed Licensed	409
The Stokes phenomenon of the Cauchy problem for certain partial differential equations with variable coefficients depending on the time variable Bożena Tkacz Requires Authentication Unlicensed Licensed	419
Some notes on the parametric Borel summability for linear singularly perturbed Cauchy problems with linear fractional transforms Alberto Lastra and Stéphane Malek Requires Authentication Unlicensed Licensed	435
On k-summability of formal solutions to the Cauchy problems for some linear q-difference-differential equations Kunio Ichinobe and Shunya Adachi Requires Authentication Unlicensed Licensed	447

Publishing information

Pages and Images/Illustrations in book

eBook published on:

November 18, 2019

eBook ISBN:

9783110611427

Hardcover published on:

November 18, 2019

Hardcover ISBN:

9783110609523

Pages and Images/Illustrations in book

Front matter:

10

Main content:

463

Illustrations:

10

Coloured Illustrations:

7

Tables:

15

https://doi.org/10.1515/9783110611427

eBook ISBN: 9783110611427

Hardcover ISBN: 9783110609523

Keywords for this book

Algebraische Differentialgleichung; Funktionentheorie; Komplexe Differentialgleichung; Reihenlösung; WKB-Methode

Audience(s) for this book

Researchers and graduate students in complex analysis, differential equations, and applications.

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Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Complex Differential and Difference Equations

Overview

About this book

Author / Editor information

Topics

Table of contents

Bibliographic data