Analytic, Algebraic and Geometric Aspects of Differential Equations : Będlewo, Poland, September 2015
Overview
Preface.- An introduction to Dunkl theory and its analytic aspects.- Holonomic Systems.- Sub-Riemannian geometry and hypoelliptic operators.- Asymptotic analysis and summability of formal power series.- WKB analysis and Stokes geometry of differential equations.- Transcendental Meromorphic Solutions of P34and Small Targets.- Towards the convergence of generalized power series solutions of algebraic ODEs.- Connection problem for regular holonomic systems in several variables.- On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients.- On Stokes phenomena for the alternate discrete PI equation.- Flat structures and algebraic solutions toPainlev VI equation.- Relation of Semi-classical orthogonal polynomials to General Schlesinger systems via Twistor theory.- Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations.- Reducibility of hypergeometric equations.- Parametric Borel summability of partial differential equations of irregular singular type.
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Details
- ISBN-13: 9783319849997
- ISBN-10: 3319849999
- Publisher: Birkhauser
- Publish Date: August 2018
- Dimensions: 9.21 x 6.14 x 0.97 inches
- Shipping Weight: 1.47 pounds
- Page Count: 471
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