HORADAM POLYNOMIAL COEFFICIENT ESTIMATES FOR TWO FAMILIES OF HOLOMORPHIC AND BI-UNIVALENT FUNCTIONS

S R SWAMY; Y SAILAJA

doi:https://doi.org/10.14445/22315373/IJMTT-V66I8P514

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 8 | Year 2020 | Article Id. IJMTT-V66I8P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I8P514

HORADAM POLYNOMIAL COEFFICIENT ESTIMATES FOR TWO FAMILIES OF HOLOMORPHIC AND BI-UNIVALENT FUNCTIONS

S R SWAMY, Y SAILAJA

Abstract

We aim at introducing two new families of holomorphic and bi-univalent functions in the open unit disc D by making use of Horadam polynomials, which are known to generalize some potentially useful polynomials such as the Lucas polynomials, the Pell polynomials and the Chebyshev polynomials of the second kind. For functions belonging to the defined families, the coefficient inequalities and the Fekete-Szeg¨o problem are discussed. Some interesting consequences of the result found here are also presented.

Keywords

HOLOMORPHIC, HORADAM POLYNOMIAL

References

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Citation :

S R SWAMY, Y SAILAJA, "HORADAM POLYNOMIAL COEFFICIENT ESTIMATES FOR TWO FAMILIES OF HOLOMORPHIC AND BI-UNIVALENT FUNCTIONS," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 8, pp. 131-138, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I8P514