Complex analysis and potential theory : proceedings of the Conference Satellite to ICM, Gebze Institute of Technolopgy, Turkey, 8-14 September, 2006 / editors, Tahir Aliyev Azeroglu, Promarz M. Tamrazov.

Includes bibliographical references and index.

Pt. A. Talks. Strengthened Moser's conjecture and Finsler geometry of Grunsky coefficients / S. Krushkal. Decompositions of meromorphic functions over small functions fields / C.C. Yang and P. La. Speed of approximation to degenerate quasiconformal mappings and stability problems / V.M. Miklyukov. Grunsky inequalities, Fredholm eigenvalues, Reflection coefficients / R. Kuhnau. Sums of reciprocal eigenvalues / B. Dittmar. Geometry of the general Beltrami equations / B. Bojarski. A Particular polyharmonic dirichlet oroblem / H. Begehr. Finely meromorphic functions in contour-solid problems / T. Aliyeu Azeroilu and P.M. Tamrazou. A Generalized Schwartz Lemma at the boundary / Aliyev Azeroilu and B.N. Ornek. Singular perturbation problems in Potential theory and applications / M. Lanza de Gristoforis. Residues on a Klein surface / A. Fernández Árias and J. Pérez Alvarez. Combinatorial theorems of complex analysis / Yu. B. Zelinskii.

Geometric approach in the Theory of Generalized Quasiconformal Mappings / A. Golberg. Separately quasi-nearly Subharmoriic functions / J. Riihentaus. Harmonic commutative Banach algebras and spatial potential fields / S.A. Plaksa. The parameter space of error functions of the form a [equation] / S. Morosawa. On Potential theory associated to a coupled PDE / A. Benyaiche. An implicit Function theorem for Sobolev mappings / V. Zhuravlev. A Relation among Ramanujan's integral formula, Shannons Sampling Theorem and Plana's summation formula / K. Yoshino. Asymptotic expansions of the solutions to the heat equations with generalized functions initial value / K. Yoshino and Y. Oka. On the existence of harmonic differential forms with prescribed singularities / E. Malinnikova. Approximate properties of the Bieberbach polynomials on the complex domains / D.M. Israfilov. Harmonic transfinite diameter and Chebyshev constants / N. Skiba and V. Zakharyuta.

On properties of Moduli of smoothness of conformal mappings / O.W. Karupu. Strict stability criteria of perturbed systems with respect to uperturbed systems in terms of initial time difference / C. Yakar. Piecewise continuous Riemann boundary value problem on a closed Jordan rectifiable curve / Yu. V. Vasil'eva. A Note on the modified Crank-Nicholson difference schemes for Schrodinger equation / A. Ashyralyev and A. Sirma -- pt. B. Open problems. Some old (unsolved) and new problems and conjectures on functional equations of entire and meromorphic functions / C. Yang. An open problem on the Bohr Radius / L. Aizenberg. Open Problems on Hausdorff operators / E. Laflyand.

This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Kühnau, Chung Chun Yang, Vladimir Miklyukov and others. It will help researchers to solve problems on complex analysis and potential theory and discuss various applications in engineering. The contributions also update the reader on recent developments in the field. Moreover, a special part of the volume is completely devoted to the formulation of some important open problems and interesting conjectures.

eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - Worldwide