Research article

Geometric properties of $ q $-spiral-like with respect to $ (\ell, \jmath) $-symmetric points

  • Received: 13 September 2022 Revised: 13 November 2022 Accepted: 25 November 2022 Published: 02 December 2022
  • MSC : 30C45, 30C50

  • In this paper, the concepts of $ (\ell, \jmath) $-symmetrical functions and the concept of $ q $-calculus are combined to define a new subclasses defined in the open unit disk. In particular. We look into a convolution property, and we'll use the results to look into our task even more, we deduce the sufficient condition, coefficient estimates investigate related neighborhood results for the class $ \mathcal{S}^{\ell, \jmath}_q(\lambda) $ and some interesting convolution results are also pointed out.

    Citation: Samirah Alzahrani, Fuad Alsarari. Geometric properties of $ q $-spiral-like with respect to $ (\ell, \jmath) $-symmetric points[J]. AIMS Mathematics, 2023, 8(2): 4141-4152. doi: 10.3934/math.2023206

    Related Papers:

  • In this paper, the concepts of $ (\ell, \jmath) $-symmetrical functions and the concept of $ q $-calculus are combined to define a new subclasses defined in the open unit disk. In particular. We look into a convolution property, and we'll use the results to look into our task even more, we deduce the sufficient condition, coefficient estimates investigate related neighborhood results for the class $ \mathcal{S}^{\ell, \jmath}_q(\lambda) $ and some interesting convolution results are also pointed out.



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