Majorization properties for analytic functions with positive real part

Authors

OYA MERTFollow

Author ORCID Identifier

OYA MERT: 0000-0002-8791-3341

Abstract

The majorization feature is important when investigating analytical functions’ geometric properties. The present work focuses on the majorization property for a general Ma-Minda type function class S^*_φ(γ, λ) of starlike functions of complex order, which is described with the Ruscheweyh differential operator. In the context of the main theorem, consequences are presented for various special functions φ having a positive real part. Furthermore, the Ruscheweyh differential operator extends a representation formula and investigates an upper-bound formula. Examples of upper bounds for analytic functions are also presented.

DOI

10.55730/1300-0098.3611

Keywords

Majorization, Ruscheweyh differential operator, starlike functions

First Page

603

Last Page

613

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

MERT, O (2025). Majorization properties for analytic functions with positive real part. Turkish Journal of Mathematics 49 (5): 603-613. https://doi.org/10.55730/1300-0098.3611