Notes on Automorphic Functions
by Anders Thorup
Publisher: Kobenhavns Universitet 1995
Number of pages: 186
In mathematics, the notion of factor of automorphy arises for a group acting on a complex-analytic manifold. From the table of contents: Moebius transformations; Discrete subgroups; Modular groups; Automorphic forms; Poincare Series and Eisenstein Series.
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by W W L Chen - Macquarie University
Introduction to some of the basic ideas in complex analysis: complex numbers; foundations of complex analysis; complex differentiation; complex integrals; Cauchy's integral theorem; Cauchy's integral formula; Taylor series; Laurent series; etc.
by James McMahon - John Wiley & Sons
College students who wish to know something of the hyperbolic trigonometry, will find it presented in a simple and comprehensive way in the first half of the work. Readers are then introduced to the more general trigonometry of the complex plane.
by M. Beck, G. Marchesi, D. Pixton - San Francisco State University
These are the lecture notes of a one-semester undergraduate course: complex numbers, differentiation, functions, integration, Cauchy's theorem, harmonic functions, power series, Taylor and Laurent series, isolated singularities, etc.
by S. Axler, J. McCarthy, D. Sarason - Cambridge University Press
This volume consists of expository articles on holomorphic spaces. Topics covered are Hardy spaces, Bergman spaces, Dirichlet spaces, Hankel and Toeplitz operators, and a sampling of the role these objects play in modern analysis.