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612-822-4611
Analytic, Algebraic and Geometric Aspects of Differential Equations: Będlewo, Poland, September 2015

Analytic, Algebraic and Geometric Aspects of Differential Equations: Będlewo, Poland, September 2015

Paperback

Series: Trends in Mathematics

General MathematicsGeometryPhysics

ISBN10: 3319849999
ISBN13: 9783319849997
Publisher: Birkhauser
Published: Aug 1 2018
Pages: 471
Weight: 1.47
Height: 0.97 Width: 6.14 Depth: 9.21
Language: English
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 toPainlevé 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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