Author(s):
1. Samra Shaheen:
Rawalpindi Women University, Rawalpindi, Pakistan.
2. Saima Mustafa:
Rawalpindi Women University, Rawalpindi, Pakistan.
Abstract:
The study extends the classical theory of Bazilevic functions by introducing ageneralized class incorporating both growth and rotational distortion parameters. We establish sharp bounds for logarithmic coefficients and Taylor series coefficients, revealing how the interaction between these parameters control function behavior. Our main results provide a unified framework that recovers known special cases while generating new insights for the extended class. The analysis combines techniques from geometric function theory with innovative applications of integral mean estimates and coefficient bounds. Key findings demonstrate the optimality of these bounds through comparison with extremal functions and highlight the delicate balance between growth and rotation in coefficient estimation. This work not only advances the theoretical understanding of Bazilevic-type functions but also provides tools for further investigations in complex analysis. The results open several research directions,including optimization of bounding constants and exploration of geometric properties in this broader functional space.
Page(s):
154-154
DOI:
DOI not available
Published:
Journal: 4th International Conference of Sciences “Revamped Scientific Outlook of 21st Century, 2025” , November 12,2025, Volume: 1, Issue: 1, Year: 2025
Keywords:
convex
,
starlike
,
and Caratheodory Class
,
Normalized
,
Bazilevic
,
Univalent
,
Analytic
References:
References are not available for this document.
Citations
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