Complex Analysis and Potential Theory: Proceedings of the by Tahir Aliyev Azeroglu, Promarz M. Tamrazov PDF

By Tahir Aliyev Azeroglu, Promarz M. Tamrazov

ISBN-10: 9812705988

ISBN-13: 9789812705983

This quantity gathers the contributions from impressive mathematicians, akin to Samuel Krushkal, Reiner Kühnau, Chung Chun Yang, Vladimir Miklyukov and others.It may help researchers to resolve difficulties on complicated research and power concept and talk about numerous functions in engineering. The contributions additionally replace the reader on fresh advancements within the box. additionally, a unique a part of the amount is totally dedicated to the formula of a few vital open difficulties and engaging conjectures.

Show description

Read Online or Download Complex Analysis and Potential Theory: Proceedings of the Conference Satellite to ICM 2006 PDF

Best international conferences and symposiums books

Get Spatial Information Theory A Theoretical Basis for GIS: PDF

This quantity collects the papers awarded on the eu convention on Spatial info concept (COSIT '93) hung on the island of Elba, Italy, inSeptember 1993. Spatial details idea comprises disciplinary issues and interdisciplinary matters facing the conceptualization and formalization of large-scale (geographic) area.

Download e-book for kindle: Security and Privacy in Digital Rights Management: ACM CCS-8 by Markus Jakobsson, Michael K. Reiter (auth.), Tomas Sander

The ACM Workshop on protection and privateness in electronic Rights administration is the ? rst scienti? c workshop with refereed court cases dedicated exclusively to this subject. The workshop used to be held along side the 8th ACM convention on machine and Communications safety (CCS-8) in Philadelphia, united states on November five, 2001.

Download e-book for iPad: FSTTCS 2006: Foundations of Software Technology and by Gérard Boudol (auth.), S. Arun-Kumar, Naveen Garg (eds.)

This ebook constitutes the refereed court cases of the twenty sixth overseas convention at the Foundations of software program know-how and Theoretical desktop technology, FSTTCS 2006, held in Kolkata, India, in December 2006. The 34 revised complete papers awarded including four invited papers have been rigorously reviewed and chosen from one hundred fifty five submissions.

Download e-book for kindle: Universal Acess in Human Computer Interaction. Coping with by Constantine Stephanidis

The twelfth foreign convention on Human-Computer interplay, HCI Inter- tional 2007, used to be held in Beijing, P. R. China, 22-27 July 2007, together with the S- posium on Human Interface (Japan) 2007, the seventh overseas convention on Engineering Psychology and Cognitive Ergonomics, the 4th foreign convention on common entry in Human-Computer interplay, the second foreign Conf- ence on digital fact, the second foreign convention on Usability and Inter- tionalization, the 2d foreign convention on on-line groups and Social Computing, the third foreign convention on Augmented Cognition, and the first overseas convention on electronic Human Modeling.

Extra info for Complex Analysis and Potential Theory: Proceedings of the Conference Satellite to ICM 2006

Example text

4. Mohon’ko, A,, The Nevanlinna characteristics of certain meromorphic functions, Teor. Funktsi? Funktsional. Anal. , 14(1971), 83-87. 5. Mues, E. , The theorem of Tumura-Clunie for meromorphic function, J. London Math. ,23(1981), no. 2, 113-122. 6. , The second main theorem for small functions and related problems, Acta Math. 192(2004), no. 2, 225-294. 7. , The second main theorem for small functions and related problems, Acta Math. 192(2004), no. 2, 225-294. 8. -C. , Quantitative estimations on the zeros of differential polynmials, Science in China, Series A , 1(1993), no.

From (50), we see that the multiplicity of any zero of f - Xjal is at least k / d j . Since k and n are maturely prime, the multiplicity of any pole of f is at least k . By Nevanlinna’s second fundamental theorem, we have + + 1 1 1 + + 1 + which implies k 5 d l d2 1. Since p1 p2 = n < k and d j 5 pj , we have n < k 5 n + l . Therefore, k = n + l . If d l < p1 or d2 < p2, then d1+d2 < p1+p2 = n, which yields k 5 n, a contradiction t o the assumption. Hence d i = p j , j = 1,2. Without loss of generality, we assume d l 5 d2.

Alf + ao, a, Z0. If and if f and g satisfy the following functional equation: then P ( f ) assumes one of the form described in Theorem A . Corollary 2. , a, be given meromorphic functions. ,a, being its small functions, and P ( f ) E P is as defined in Corollary 1. If there exist a positive integer k > 2n and a nonconstant meromorphic function g satisfying the functional equation: then Remark. The condition k > 2n in Corollary 2 is necessary. For example, let h be the elliptic function which satisfy (h')2= 4h3 + 6h2 4h + 1, and let g = 1 l / h , f = h'/h2,then g4 = f 2 - 1.

Download PDF sample

Complex Analysis and Potential Theory: Proceedings of the Conference Satellite to ICM 2006 by Tahir Aliyev Azeroglu, Promarz M. Tamrazov


by Paul
4.2

Rated 4.74 of 5 – based on 32 votes