Research article Special Issues

Inclusion relations of $ q $-Bessel functions associated with generalized conic domain

  • Received: 01 December 2020 Accepted: 22 December 2020 Published: 22 January 2021
  • MSC : 05A30, 30C45, 11B65, 47B38

  • In this paper, we investigate the geometric properties of Jackson and Hahn-Exton $ q $-Bessel functions and perform their normalization for the analyticity in open unit disk $ E $. By applying normalized Jackson and Hahn-Exton $ q $-Bessel functions and idea of convolution we introduce a new operator and define new family of subclasses of analytic functions related with generalized conic domain. For these subclasses of analytic functions, we investigate inclusion relations and integral preserving properties. Also we will use $ q $-Bernardi integral operator to discuss some applications of our main results.

    Citation: Shahid Khan, Saqib Hussain, Maslina Darus. Inclusion relations of $ q $-Bessel functions associated with generalized conic domain[J]. AIMS Mathematics, 2021, 6(4): 3624-3640. doi: 10.3934/math.2021216

    Related Papers:

  • In this paper, we investigate the geometric properties of Jackson and Hahn-Exton $ q $-Bessel functions and perform their normalization for the analyticity in open unit disk $ E $. By applying normalized Jackson and Hahn-Exton $ q $-Bessel functions and idea of convolution we introduce a new operator and define new family of subclasses of analytic functions related with generalized conic domain. For these subclasses of analytic functions, we investigate inclusion relations and integral preserving properties. Also we will use $ q $-Bernardi integral operator to discuss some applications of our main results.



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