Some Special Families of Holomorphic and Sălăgean Type Bi-univalent Functions Associated with \((m,n)\)-Lucas Polynomials

Authors

  • S. R. Swamy Department of Computer Science and Engineering, R.V. College of Engineering, Bengaluru 560059, Karnataka
  • Abbas Kareem Wanas Department of Mathematics, College of Science, University of Al-Qadisiyah
  • Y. Sailaja Department of Mathematics, R.V. College of Engineering, Bengaluru 560059, Karnataka

DOI:

https://doi.org/10.26713/cma.v11i4.1411

Keywords:

Holomorphic function, Bi-univalent function, Fekete-Szegö inequality, Lucas polynomial, Sălăgean operator

Abstract

The aim of the present paper is to introduce some special families of holomorphic and Sălăgean type bi-univalent functions associated with \((m,n)\)-Lucas polynomials in the open unit disc \(\mathfrak{D}\). We investigate the upper bounds on initial coefficients for functions in these newly introduced special families and also discuss the Fekete-Szegö problem.\ Some interesting consequences of the results established here are indicated.

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References

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Published

31-12-2020
CITATION

How to Cite

Swamy, S. R., Wanas, A. K., & Sailaja, Y. (2020). Some Special Families of Holomorphic and Sălăgean Type Bi-univalent Functions Associated with \((m,n)\)-Lucas Polynomials. Communications in Mathematics and Applications, 11(4), 563–574. https://doi.org/10.26713/cma.v11i4.1411

Issue

Vol. 11 No. 4 (2020)

Section

Research Article

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