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Boundedness properties of univalent functions with positive coefficients

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Abstract

The present contribution investigates sharp lower bounds of the real parts of certain types of rational functions defined in terms of functions which are analytic and univalent in the open unit disk, and which also involve the familiar fractional derivative operator. Some worthwhile consequences of the main results are also pointed out.

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Author notes

  1. R. K. Raina

    Present address: 10/11, Ganpati Vihar Paneriyon Ki Madri, Opposite Sector 5, 313002, Undaipur, Rajasthan, India

Authors and Affiliations

  1. Department of Mathematics, College of Technology and Engineering M.P. University of Agri. & Technology, 313001, Udaipur, Rajasthan, India

    R. K. Raina

  2. Department of Mathematics, Govt. Postgratuate College, 313001, Bhilwara, Rajasthan, India

    I. B. Bapna

Authors
  1. R. K. Raina
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  2. I. B. Bapna
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Correspondence to R. K. Raina.

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Raina, R.K., Bapna, I.B. Boundedness properties of univalent functions with positive coefficients. Rend. Circ. Mat. Palermo 55, 314–322 (2006). https://doi.org/10.1007/BF02874773

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  • DOI: https://doi.org/10.1007/BF02874773

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