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A subclass with bi-univalence involving (\({\mathfrak {p}}\),\({\mathfrak {q}}\))- Lucas polynomials and its coefficient bounds

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Abstract

We have constructed a subclass of analytic bi-univalent functions using (\({{\mathfrak {p}}}\),\({{\mathfrak {q}}}\))-Lucas polynomials in this research contribution. Bounds for certain coefficients and Fekete–Szegö inequalities have been estimated.

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Author notes

  1. G. Saravanan

    Present address: Department of Mathematics, Patrician College of Arts and Science, Adyar, Chennai, 600 020, Tamil Nadu, India

Authors and Affiliations

  1. Department of Mathematics, Bursa Uludag University, 16059, Bursa, Turkey

    S. Yalçın

  2. School of Advanced Sciences, VIT University, Chennai, 600 127, Tamil Nadu, India

    K. Muthunagai

  3. Research Scholar, School of Advanced Sciences, VIT University, Chennai, 600 127, Tamil Nadu, India

    G. Saravanan

Authors
  1. S. Yalçın
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  2. K. Muthunagai
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  3. G. Saravanan
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Correspondence to K. Muthunagai.

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Yalçın, S., Muthunagai, K. & Saravanan, G. A subclass with bi-univalence involving (\({\mathfrak {p}}\),\({\mathfrak {q}}\))- Lucas polynomials and its coefficient bounds. Bol. Soc. Mat. Mex. 26, 1015–1022 (2020). https://doi.org/10.1007/s40590-020-00294-z

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  • DOI: https://doi.org/10.1007/s40590-020-00294-z

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