On Janowski type <i>p</i>-harmonic functions associated with generalized Sǎlǎgean operator

Shuhai Li; Lina Ma; Huo Tang; Shuhai Li; Lina Ma; Huo Tang

doi:10.3934/math.2021035

AIMS Mathematics

2021, Volume 6, Issue 1: 569-583. doi: 10.3934/math.2021035

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Research article

On Janowski type p-harmonic functions associated with generalized Sǎlǎgean operator

School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, Inner Mongolia, China

Received: 07 June 2020 Accepted: 16 October 2020 Published: 22 October 2020
MSC : 30C45, 30C50, 30C80

In this paper, some classes of Janowski type p-harmonic functions associated with the generalized Sǎlǎgean operator are introduced. Further, coefficient conditions, distortion estimates and the other properties of the classes are obtained. On the one hand, the results presented here generalize the results of Yașar and Yalçin ^[8]. On the other hand, we obtain some new results on sufficient convolution condition of the classes.
- p-harmonic function,
- Janowski function,
- Sǎlǎgean operator,
- subordination,
- extreme point,
- convolution
Citation: Shuhai Li, Lina Ma, Huo Tang. On Janowski type p-harmonic functions associated with generalized Sǎlǎgean operator[J]. AIMS Mathematics, 2021, 6(1): 569-583. doi: 10.3934/math.2021035

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Abstract

In this paper, some classes of Janowski type p-harmonic functions associated with the generalized Sǎlǎgean operator are introduced. Further, coefficient conditions, distortion estimates and the other properties of the classes are obtained. On the one hand, the results presented here generalize the results of Yașar and Yalçin ^[8]. On the other hand, we obtain some new results on sufficient convolution condition of the classes.

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