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F-Classes of Univalent Functions and F-Differential Subordinations

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Abstract

This article introduces the F-classes of the convex, starlike and close-to-convex classes of univalent functions. The paper also extends the theory of differential subordinations to F-differential subordinations and presents examples of these new concepts.

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References

  1. Antonino, J.A., Romaguera, S.: Analytic and univalent solutions of Briot–Bouquet differential equations. Math. Japonica 36, 447–449 (1991)

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  2. Miller, S.S., Mocanu, P.T.: Differential subordinations and univalent functions. Michigan Math. J. 28, 157–171 (1981)

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  3. Miller, S.S., Mocanu, P.T.: Differential Subordinations. Theory and Applications. Marcel Dekker Inc, New York (2000)

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, ETSICCP, Universidad Politécnica de Valencia, 46071, Valencia, Spain

    José A. Antonino

  2. Department of Mathematics, SUNY Brockport, New York, 14420, USA

    Sanford S. Miller

Authors
  1. José A. Antonino
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  2. Sanford S. Miller
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Corresponding author

Correspondence to Sanford S. Miller.

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Communicated by Dmitry Khavinson.

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Antonino, J.A., Miller, S.S. F-Classes of Univalent Functions and F-Differential Subordinations. Comput. Methods Funct. Theory 21, 179–197 (2021). https://doi.org/10.1007/s40315-020-00321-0

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  • DOI: https://doi.org/10.1007/s40315-020-00321-0

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