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Some properties of certain subclasses of analytic functions with negative coefficients by using generalized ruscheweyh derivative operator

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Abstract

By making use of the known concept of neighborhoods of analytic functions we prove several inclusions associated with the (j, δ)-neighborhoods of various subclasses of starlike and convex functions of complex order b which are defined by the generalized Ruscheweyh derivative operator. Further, partial sums and integral means inequalities for these function classes are studied. Relevant connections with some other recent investigations are also pointed out.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Ataturk University, 25240, Erzurum, Turkey

    Erhan Deni̇z & Halit Orhan

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  1. Erhan Deni̇z
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  2. Halit Orhan
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Correspondence to Erhan Deni̇z.

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Deni̇z, E., Orhan, H. Some properties of certain subclasses of analytic functions with negative coefficients by using generalized ruscheweyh derivative operator. Czech Math J 60, 699–713 (2010). https://doi.org/10.1007/s10587-010-0064-9

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