Properties of a Class of Analytic Functions Influenced by Multiplicative Calculus
Abstrak
Motivated by the notion of multiplicative calculus, more precisely multiplicative derivatives, we used the concept of subordination to create a new class of starlike functions. Because we attempted to operate within the existing framework of the design of analytic functions, a number of restrictions, which are in fact strong constraints, have been placed. We redefined our new class of functions using the three-parameter Mittag–Leffler function (Srivastava–Tomovski generalization of the Mittag–Leffler function), in order to increase the study’s adaptability. Coefficient estimates and their Fekete-Szegő inequalities are our main results. We have included a couple of examples to show the closure and inclusion properties of our defined class. Further, interesting bounds of logarithmic coefficients and their corresponding Fekete–Szegő functionals have also been obtained.
Topik & Kata Kunci
Penulis (2)
Kadhavoor R. Karthikeyan
Gangadharan Murugusundaramoorthy
Akses Cepat
PDF tidak tersedia langsung
Cek di sumber asli →- Tahun Terbit
- 2024
- Sumber Database
- DOAJ
- DOI
- 10.3390/fractalfract8030131
- Akses
- Open Access ✓