In this paper we introduce and study a new subclass of meromorphically uniformly convex functions with positive coefficients defined by a differential operator and obtain coefficient estimates, growth and distortion theorems, radius of convexity, integral transforms, convex linear combinations, convolution properties and δ−neighborhoods for the class σp(α, β, λ).MSC 2010. 30C45.
The object of this work is to an innovation of a class k − U ~ S T s ℏ , υ , τ , ι , ς in Y with negative coefficients, further determining coefficient estimates, neighborhoods, partial sums, convexity, and compactness of this specified class.
In this work, we introduce and investigate a new class k - U S ~ s ( b , μ , γ , t ) {k-\widetilde{US}_{s}(b,\mu,\gamma,t)} of analytic functions in the open unit disk U with negative coefficients. The object of the present paper is to determine coefficient estimates, neighborhoods and partial sums for functions f belonging to this class.
In this paper, we introduced new subclasses $UCV_S(\alpha,\beta)$ and $SP_S(\alpha,\beta)$ which are sub classes of $UCV(\alpha,\beta)$ and $SP(\alpha, \beta)$ and studied the $T$ - $\delta$ neighbourhoods of functions in these classes. The results obtained in this paper generalizes the recent results of Parvatham and Premabai[5], Ram Reddy and Thirupathi Reddy[6,7], Padmanabhan[4], and Ronning[8].
In this survey-cum-expository work, we primarily seek to study many families of the renowned Hurwitz–Lerch Zeta mapping, including the so-called generalized Hurwitz–Lerch Zeta mappings. The purpose of this study is to examine a new subclass of Hurwitz–Lerch Zeta mappings with negative coefficients in the unit disc U={z∈C:|z|<1}. We explore fundamental characteristics of the defined class, such as coefficient inequality, neighborhoods, partial sums, and integral means properties.
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