Abstract
In the present paper we introduce and investigate an interesting subclass \({\mathcal{K}_{s}^{(k)}(\lambda,h)}\) of analytic and close-to-convex functions in the open unit disk \({\mathbb{U}}\) . For functions belonging to the class \({\mathcal{K}_{s}^{(k)}(\lambda,h)}\) , we derive several properties as the inclusion relationships and distortion theorems. The various results presented here would generalize many known recent results.
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Acknowledgments
The first author (Pranay Goswami) is grateful to Prof. S.P. Goyal, Emeritus Scientist, Department of Mathematics, University of Rajasthan, Jaipur, India, for his guidance and constant encouragement.
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Goswami, P., Bulut, S. & Bulboacă, T. Certain properties of a new subclass of close-to-convex functions. Arab. J. Math. 1, 309–317 (2012). https://doi.org/10.1007/s40065-012-0029-y
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DOI: https://doi.org/10.1007/s40065-012-0029-y