Research article

Bi-Bazilevič functions of order $ \vartheta +i\delta $ associated with $ (p, q)- $ Lucas polynomials

  • Received: 11 November 2020 Accepted: 20 January 2021 Published: 07 February 2021
  • MSC : 30C45

  • By means of$ (p, q)- $ Lucas polynomials, a class of Bazilevič functions of order $ \vartheta +i\delta $ in the open unit disk $ \mathbb{U} $ of analytic and bi-univalent functions is introduced. Further, we estimate coefficients bounds and Fekete-Szegö inequalities for functions belonging to this class. Several corollaries and consequences of the main results are also obtained.

    Citation: Ala Amourah, B. A. Frasin, G. Murugusundaramoorthy, Tariq Al-Hawary. Bi-Bazilevič functions of order $ \vartheta +i\delta $ associated with $ (p, q)- $ Lucas polynomials[J]. AIMS Mathematics, 2021, 6(5): 4296-4305. doi: 10.3934/math.2021254

    Related Papers:

  • By means of$ (p, q)- $ Lucas polynomials, a class of Bazilevič functions of order $ \vartheta +i\delta $ in the open unit disk $ \mathbb{U} $ of analytic and bi-univalent functions is introduced. Further, we estimate coefficients bounds and Fekete-Szegö inequalities for functions belonging to this class. Several corollaries and consequences of the main results are also obtained.



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