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On a Class of Analytic Functions Closely Related to a Class Defined by Silverman and Silvia

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Ukrainian Mathematical Journal Aims and scope

We define and study a class of analytic functions in the unit disc by using a modification of the well-known Silverman and Silvia analytic formula for starlike functions with respect to a boundary point. The representation theorem, as well as growth and distortion theorems are established for the new class of functions. Further, early coefficients of the new class of functions are also estimated.

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Authors and Affiliations

  1. SDNB Vaishnav College for Women, Chennai, Tamil Nadu, India

    S. Kavitha

  2. Universiti Kebangsaan Malaysia, Selangor, Malaysia

    M. Darus

  3. University College of Engineering, Anna University, Tindivanam, Tamil Nadu, India

    S. Sivasubramanian

Authors
  1. S. Kavitha
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  2. M. Darus
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  3. S. Sivasubramanian
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Corresponding author

Correspondence to S. Sivasubramanian.

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 11, pp. 1533–1543, November, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i11.6523.

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Kavitha, S., Darus, M. & Sivasubramanian, S. On a Class of Analytic Functions Closely Related to a Class Defined by Silverman and Silvia. Ukr Math J 74, 1752–1763 (2023). https://doi.org/10.1007/s11253-023-02168-9

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  • DOI: https://doi.org/10.1007/s11253-023-02168-9

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