A unified class of analytic functions associated with Erdeyi-Kober type integral operator

	A unified class of analytic functions associated with Erdeyi-Kober type integral operator
International Journal of Nonlinear Analysis and Applications
مقاله 30، دوره 14، شماره 2، اردیبهشت 2023، صفحه 385-397 اصل مقاله (416.12 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22767.2710
نویسندگان
K.Amarender Reddy؛ Murugusundaramoorthy Gangadharan^*
School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, TN, India
چکیده
Making use of the convolution product, we introduce a unified class of analytic functions with negative coefficients. Also, we obtain the coefficient bounds, extreme points and radius of starlikeness for functions belonging to the generalized class $ \mathcal{TP}_{\vartheta,\tau}^{a,c}(\alpha ,\beta).$ Furthermore, partial sums $f_k(z)$ of functions $f(z)$ in the class $\mathcal{P}_{\vartheta,\tau}^{a,c}(\alpha ,\beta)$ are considered and sharp lower bounds for the ratios of real part of $f(z)$ to $f_k(z)$ and $f'(z)$ to $f'_k(z)$ are determined. Relevant connections of the results with various known results are also considered.
کلیدواژه‌ها
Analytic؛ univalent؛ starlikeness؛ convexity؛ Hadamard product (or convolution)؛ uniformly convex؛ uniformly starlike functions؛ Erdeyi-Kober type integral operator
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