Analytic, Algebraic and Geometric Aspects of Differential Equations

Part I. Lecture Notes

1. An Introduction to Dunkl Theory and Its Analytic Aspects
Jean-Philippe Anker

2. Holonomic Systems
Yoshishige Haraoka

3. Sub-Riemannian Geometry and Hypoelliptic Operators
Irina Markina

4. Asymptotic Analysis and Summability of Formal Power Series
Javier Sanz

5. WKB Analysis and Stokes Geometry of Differential Equations
Yoshitsugu Takei

Part II. Research Papers

6. Transcendental Meromorphic Solutions of P
34 and Small Targets
Ewa Ciechanowicz, Galina Filipuk

7. Towards the Convergence of Generalized Power Series Solutions of Algebraic ODEs
Renat R. Gontsov, Irina V. Goryuchkina

8. Connection Problem for Regular Holonomic Systems in Several Variables
Yoshishige Haraoka

9. On k-Summability of Formal Solutions for Certain Higher Order Partial Differential Operators with Polynomial Coefficients
Kunio Ichinobe

10. On Stokes Phenomena for the Alternate Discrete PI Equation
Nalini Joshi, Yoshitsugu Takei

11. Flat Structures and Algebraic Solutions to Painlevé VI Equation
Mitsuo Kato, Toshiyuki Mano, Jiro Sekiguchi

12. Relation of Semi-Classical Orthogonal Polynomials to General Schlesinger Systems via Twistor Theory
Hironobu Kimura

13. Some Notes on the Multi-Level Gevrey Solutions of Singularly Perturbed Linear Partial Differential Equations
Alberto Lastra, Stéphane Malek

14. Reducibility of Hypergeometric Equations
Toshio Oshima

15. Parametric Borel Summability of Partial Differential Equations of Irregular Singular Type
Masafumi Yoshino

Nyckelord: Mathematics, Ordinary Differential Equations, Partial Differential Equations, Differential Geometry, Mathematical Physics, Number Theory