HARMONIC FUNCTION WITH CORRELATED COEFFICIENTS

doi:10.1007/s10473-019-0615-6

Abstract

Abstract: 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.

Key words: harmonic functions, subordination, starlike functions, Dziok-Srivastava operator, correlated coefficients

CLC Number:

30C55

Jacek DZIOK. HARMONIC FUNCTION WITH CORRELATED COEFFICIENTS[J].Acta mathematica scientia,Series B, 2019, 39(6): 1661-1673.

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