HARMONIC FUNCTION WITH CORRELATED COEFFICIENTS  

作　　者：Jacek DZIOK 

机构地区：[1]Faculty of Mathematics and Natural Sciences, University of Rzeszów

出　　处：《Acta Mathematica Scientia》2019年第6期1661-1673,共13页数学物理学报（B辑英文版）

基　　金：supported by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge,University of Rzeszów

摘　　要：In the paper we introduce an idea of harmonic functions with correlated coefficients which generalize the ideas of harmonic functions with negative coefficients introduced by Silverman and harmonic functions with varying coefficients defined by Jahangiri and Silverman. Next we define classes of harmonic functions with correlated coefficients in terms of generalized Dziok-Srivastava operator. By using extreme points theory, we obtain estimations of classical convex functionals on the defined classes of functions. Some applications of the main results are also considered.In the paper we introduce an idea of harmonic functions with correlated coefficients which generalize the ideas of harmonic functions with negative coefficients introduced by Silverman and harmonic functions with varying coefficients defined by Jahangiri and Silverman. Next we define classes of harmonic functions with correlated coefficients in terms of generalized Dziok-Srivastava operator. By using extreme points theory, we obtain estimations of classical convex functionals on the defined classes of functions. Some applications of the main results are also considered.

关 键 词：harmonic FUNCTIONS SUBORDINATION STARLIKE FUNCTIONS Dziok-Srivastava operator CORRELATED COEFFICIENTS 

分 类 号：O17[理学—数学]