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Differential Superordinations and Sandwich-Type Results

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Current Topics in Pure and Computational Complex Analysis

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Abstract

Let \(\Omega\subset\mathbb{C}\), let p be analytic in the unit disc \(\mathrm{U}=\left\{z\in\mathbb{C}:|z|<1\right\}\), and let \(\psi(r,s,t;z):\mathbb{C}^3\times\mathrm{U}\rightarrow\mathbb{C}\). In a series of articles, S. S. Miller, P. T. Mocanu and many others have determined properties of functions ψ that satisfy the differential subordination (i.e. the differential inclusion)

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084, Cluj-Napoca, Romania

    Teodor Bulboacӑ

  2. Department of Applied Mathematics, Pukyong National University, 608-737, Pusan, Korea

    Nak Eun Cho

  3. School of Liberal Studies, Bharat Ratna Dr. B. R. Ambedkar University, 110006, Delhi, India

    Pranay Goswami

Authors
  1. Teodor Bulboacӑ
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  2. Nak Eun Cho
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  3. Pranay Goswami
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Corresponding author

Correspondence to Teodor Bulboacӑ .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Walchand College of Engineering, Sangli, Maharashtra, India

    Santosh Joshi

  2. Department of Mathematics, Brigham Young University, Provo, Utah, USA

    Michael Dorff

  3. Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India

    Indrajit Lahiri

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Bulboacӑ, T., Cho, N., Goswami, P. (2014). Differential Superordinations and Sandwich-Type Results. In: Joshi, S., Dorff, M., Lahiri, I. (eds) Current Topics in Pure and Computational Complex Analysis. Trends in Mathematics. Birkhäuser, New Delhi. https://doi.org/10.1007/978-81-322-2113-5_6

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