Certain subclass of harmonic functions associated with univalent functions

التفاصيل البيبلوغرافية
العنوان: Certain subclass of harmonic functions associated with univalent functions
المؤلفون: Dash, Prachi Prajna, Prajapat, Jugal Kishore
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Complex Variables, 30C45, 30C50
الوصف: In this paper, we define a subclass of sense-preserving harmonic functions associated with a class of analytic functions satisfying a differential inequality. We then establish a close relation between both subclasses. Further, we obtain some characteristic properties, including radius properties, convolution, coefficient estimates and their properties, growth estimates, and convex combination for the functions in the defined subclass. At last, we produce conditions for some special functions as well as harmonic univalent polynomials to belong to the defined subclass of harmonic functions.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.13311
رقم الأكسشن: edsarx.2406.13311
قاعدة البيانات: arXiv