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Some Properties of a Generalized Multiplier Transform on Analytic p-Valent Functions

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Ukrainian Mathematical Journal Aims and scope

For a function

$$f\left(z\right)={z}^{p}+\sum_{k=1}^{\infty }{a}_{k+p}{z}^{k+p}$$

where p ∈ ℕ, we study some properties of a more general multiplier transform on analytic p-valent functions in an open unit disk. The applications of the obtained results to fractional calculus are presented, while several other facts follow as simple consequences.

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Author information

Authors and Affiliations

  1. University of Lagos, Lagos, Nigeria

    J. O. Hamzat

  2. Faculty of Science, Damietta University, New Damietta, Egypt

    R. M. El-Ashwah

Authors
  1. J. O. Hamzat
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  2. R. M. El-Ashwah
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Correspondence to J. O. Hamzat.

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 9, pp. 1274–1283, September, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i9.6173.

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Hamzat, J.O., El-Ashwah, R.M. Some Properties of a Generalized Multiplier Transform on Analytic p-Valent Functions. Ukr Math J 74, 1452–1462 (2023). https://doi.org/10.1007/s11253-023-02146-1

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  • DOI: https://doi.org/10.1007/s11253-023-02146-1

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