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• W3170632476 abstract "We use the concept of convolution to introduce and study the properties of a unified family $mathcal{TUM}_gamma(g,b,k,alpha)$, $(0leqgammaleq1,,kgeq0)$, consisting of uniformly $k$-starlike and $k$-convex functions of complex order $binmathbb{C}setminus{0}$ and type $alphain[0,1)$. The family $mathcal{TUM}_gamma(g,b,k,alpha)$ is a generalization of several other families of analytic functions available in literature. Apart from discussing the coefficient bounds, sharp radii estimates, extreme points and the subordination theorem for this family, we settle down the Silverman's conjecture for integral means inequality. Moreover, invariance of this family under certain well-known integral operators is also established in this paper. Some previously known results are obtained as special cases." @default.
• W3170632476 created "2021-06-22" @default.
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• W3170632476 date "2021-05-28" @default.
• W3170632476 modified "2023-09-30" @default.
• W3170632476 title "Certain Properties of a Generalized Class of Analytic Functions Involving Some Convolution Operator" @default.
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• W3170632476 doi "https://doi.org/10.34198/ejms.7121.4976" @default.
• W3170632476 hasPublicationYear "2021" @default.
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