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June 1, 2026Filomat0 citationsOpen Access

A subclass of multivalent starlike functions with fixed second coefficient

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ZWZhi-Gang WangHSH.M. SrivastavaXWXiao-Yuan Wang

Key Points

  • This research aims to define and explore a specific subclass of multivalent starlike functions with a fixed second coefficient.
  • Derived an integral representation for the function class.
  • Investigated coefficient inequalities and convolution properties.
  • Established inclusion relationships and neighborhood properties.
  • Provided new coefficient inequalities that characterize the function class.
  • Demonstrated inclusion relationships among different multivalent starlike functions.
  • Described the behavior of partial sums related to the subclass.

Abstract

We introduce and investigate a subclass of multivalent starlike functions with fixed second coefficient. Such results as an integral representation, an inclusion relationship, a convolution property, coefficient inequalities, a neighborhood property and partial sums for this function class are derived.

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Cite This Study

Wang et al. (2025) studied this question.

synapsesocial.com/papers/6a1d226d02fbce9130638220https://doi.org/10.2298/fil2534061w
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