This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and long-time leader of the International Society for Analysis, its Applications and Computation (ISAAC).
Spis treści
Preface.- Analysis as a life.- Stories.- Deformation of complex structures and boundary value problem with shift.- Dirichlet problem for Poisson and Bi-Poisson equations in Clifford analysis.- Boundary eigenvalues of pluriharmonic functions for the third boundary condition of the polydisc.- Survey of some general properties of meromorphic functions in a given domain.- Boundary value problems in polydomains.- Completeness Theorems on the Boundary in Thermoelasticity.- A circle pattern algorithm via combinatorial Ricci flows.- Strong Asymptotic Analysis of OLPs on the Unit Circle by Riemann-Hilbert Approach.- Time Dependent Solutions for the Biot Equations.- Schwartz-type boundary value problems for monogenic functions in a biharmonic algebra.- The string equation for some rational functions.- Newtonian and single layer potentials for the Stokes system with L ∞ coefficients and the exterior Dirichlet problem.- Special functions method for fractional analysis and fractional modelling.- To elliptic systems of two equations on the plane.- Real Variable Inverse Laplace Transform.
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