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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2016 Volume 9, Issue 3, Pages 374–383 (Mi jsfu496)

This article is cited in 10 papers

On a class of $A$-analytic functions

Azimbai Sadullaev, Nasridin M. Jabborov

National University of Uzbekistan, Vuzgorodok, Tashkent, 100174, Uzbekistan

Abstract: We consider $A$-analytic functions in case when $A$ is anti-holomorphic function. In paper for $A$-analytic functions the integral theorem of Cauchy, integral formula of Cauchy, expansion to Taylor series, expansion to Loran series, Picard's big theorem and Montel's theorem are proved.

Keywords: $A$-analytic function, integral theorem of Cauchy, integral formula of Cauchy, Taylor series, Loran series, Picard's big theorem, Montel's theorem.

UDC: 517.55

Received: 10.05.2016
Received in revised form: 06.06.2016
Accepted: 01.07.2009

Language: English

DOI: 10.17516/1997-1397-2016-9-3-374-383



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