Bohr-type inequalities for unimodular bounded analytic functions

التفاصيل البيبلوغرافية
العنوان: Bohr-type inequalities for unimodular bounded analytic functions
المؤلفون: Chen, Kaixin, Liu, Ming-Sheng, Ponnusamy, Saminathan
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Complex Variables, 30A10, 30C45, 30C62 (Primary), 30C75 (Secondary)
الوصف: In this paper, we establish several new versions of Bohr-type inequalities for bounded analytic functions in the unit disk by allowing $\varphi=\{\varphi_n(r)\}^{\infty}_{n=0}$ in place of the $\{r^n\}^{\infty}_{n=0}$ in the power series representations of the functions involved with the Bohr sum and thereby introducing a single parameter, which generalize several related results of earlier authors.
Comment: 13 pages. The article is with a journal
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2302.07745
رقم الأكسشن: edsarx.2302.07745
قاعدة البيانات: arXiv