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Some Geometric Properties of Analytic Functions Involving a New Fractional Operator

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Abstract

In this paper, we introduce and study a new fractional operator and its implications in terms of the Ruscheweyh derivative operator, the Sălăgean operator and a certain fractional differintegral operator. Some geometric properties of the analytic functions involving this operator are derived. We also consider some applications and derive certain corollaries of our main results. Some useful consequences and relationship of certain results with known results are also pointed out.

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Author notes

  1. R. K. Raina

    Present address: , 10/11 Ganpati Vihar, Opposite Sector 5, Udaipur, 313002, Rajasthan, India

Authors and Affiliations

  1. Department of Mathematics and Astronomy, University of Lucknow, Lucknow, 226007, India

    Poonam Sharma

  2. M. P. University of Agriculture and Technology, Udaipur, 313001, Rajasthan, India

    R. K. Raina

  3. Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Str. M. Kogalniceanu Nr. 1, 400084, Cluj-Napoca, Romania

    G. S. Sălăgean

Authors
  1. Poonam Sharma
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  2. R. K. Raina
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  3. G. S. Sălăgean
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Correspondence to G. S. Sălăgean.

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Sharma, P., Raina, R.K. & Sălăgean, G.S. Some Geometric Properties of Analytic Functions Involving a New Fractional Operator. Mediterr. J. Math. 13, 4591–4605 (2016). https://doi.org/10.1007/s00009-016-0764-y

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  • DOI: https://doi.org/10.1007/s00009-016-0764-y

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