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Hankel determinants of order four for a set of functions with bounded turning of order α

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Abstract

We investigate the bounds of Hankel determinants H4,1(f), H4,2(f), H4,3(f) for the set of functions with bounded turning of order alpha. We also study these bounds for 2-fold symmetric and 3-fold symmetric functions in this class.

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Authors and Affiliations

  1. Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Pakistan

    Muhammad Arif & Inayat Ullah

  2. Department of Mathematics, Government College University Faiasalabad, Faiasalabad, Pakistan

    Mohsan Raza

  3. Department of Mathematics, Faculty of Mechanical Engineering, Lublin University of Technology, Lublin, Poland

    Pawel Zaprawa

Authors
  1. Muhammad Arif
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  2. Mohsan Raza
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  3. Inayat Ullah
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  4. Pawel Zaprawa
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Correspondence to Mohsan Raza.

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Arif, M., Raza, M., Ullah, I. et al. Hankel determinants of order four for a set of functions with bounded turning of order α. Lith Math J 62, 135–145 (2022). https://doi.org/10.1007/s10986-022-09559-8

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  • DOI: https://doi.org/10.1007/s10986-022-09559-8

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