Contemporary aspects of complex analysis, differential by Stancho Dimiev, Kouei Sekigawa

Contemporary aspects of complex analysis, differential by Stancho Dimiev, Kouei Sekigawa

By Stancho Dimiev, Kouei Sekigawa

This quantity provides the state-of-the-art contributions to the 7th overseas Workshop on complicated buildings and Vector Fields, which used to be prepared as a continuation of the excessive winning previous workshops on comparable study. the quantity comprises works treating bold issues in differential geometry, mathematical physics and expertise equivalent to Bezier curves in area types, capability and catastrophy of a cleaning soap movie, computer-assisted reviews of logistic maps, and robotics.

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Extra info for Contemporary aspects of complex analysis, differential geometry, and mathematical physics: proceedings of the 7th International Workshop on Complex Structures and Vector Fields, Plovdiv, Bulgaria, 31 August - 4 September 2004

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In the general case of associative complex algebras this is not true. 1. Introduction The main purpose of this talk is to remember the old theory of holomorphicity on commutative and associative real and complex algebras and to indicate some possible interconnections with the contemporary theory of many complex variables. According to the classical Frobenius theorem the set of complex associative algebras without divisors of zero reduces to two algebras only, namely, the field of complex numbers and the non-commutative algebra of quaternions.

86 (1922). 5. S. Tachibana, S. Koto, Tohoku Math. J. 14 (1962), 177-186. 6. S. Dimiev and P. hrlinska, Holomorphic bi-complex functions (to be pub- lished). 7. B. Kiradjiev and P. , 64 (2003) 1, 99-104. GENERALIZED PARALLELISM AND FIELD EQUATIONS STOIL DONEV Bulgarian Academy of Sciences Institute for Nuclear Research and Nuclear Energy, Blvd. Tzarigradsko chaussee 72 1784 Sofia - Bulgaria E-mail: sdonevQinrne. bas. bg MARIA TASHKOVA Bulgarian Academy of Sciences Institute for Nuclear Research and Nuclear Energy, Blud.

Math. 6 (1983), 267-285. BI-COMPLEX HOLOMORPHICITY STANCH0 DIMIEV Plovdiv University - Filial Smolyan, 3700 Smolyan - Bulgaria, Institute of Mathematics and Informatics Acad. net In this paper the interconnection between holomorphic and analytic functions is studied in the case of the algebra of bi-complex numbers. It is proved that each holomorphic bi-complex function is bi-complex analytic. In the general case of associative complex algebras this is not true. 1. Introduction The main purpose of this talk is to remember the old theory of holomorphicity on commutative and associative real and complex algebras and to indicate some possible interconnections with the contemporary theory of many complex variables.

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