Neighbourhoods of two new classes of harmonic univalent functions with varying arguments

In: Mathematica Slovaca, vol. 64, no. 6

Elif Yaşar - Sibel Yalçin

Detaily:

Rok, strany: 2014, 1409 - 1420

Kľúčové slová:

harmonic, $k$-starlike, $k$-uniformly convex, hypergeometric functions, varying arguments, convolution, neighbourhood

DOI: https://doi.org/10.2478/s12175-014-0283-x

O článku:

In this paper, two new classes of harmonic univalent functions with varying arguments are defined by using planar harmonic convolution operator involving hypergeometric functions. Those classes are of special interest because they contain various classes of well-known harmonic univalent functions such as the classes of $k$-starlike and $k$-uniformly convex harmonic univalent functions. The main purpose of this paper is to investigate neighbourhoods of the classes in question.

Ako citovať:

ISO 690:

Yaşar, E., Yalçin, S. 2014. Neighbourhoods of two new classes of harmonic univalent functions with varying arguments. In Mathematica Slovaca, vol. 64, no.6, pp. 1409-1420. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0283-x

APA:

Yaşar, E., Yalçin, S. (2014). Neighbourhoods of two new classes of harmonic univalent functions with varying arguments. Mathematica Slovaca, 64(6), 1409-1420. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0283-x

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