A subclass with bi-univalence involving Horadam polynomials and its coefficient bounds

Muthunagai, K.; Saravanan, G.; Baskaran, S.

doi:10.22199/issn.0717-6279-4073

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2024

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Cited by 2 publications

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“…For more information about Horadam polynomials and its special interesting cases, we refer the readers to the articles [1], [3], [2], [16], [18], [24], [26], [27], [30], the monograph [21], [29] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

A family of Analytic Functions Subordinate to Horadam Polynomials

AlRawashdeh

2024

Eur. J. Pure Appl. Math.

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In this paper, we introduce and investigate a family of analytic functions, denoted by $\mathcal{F}(\Pi, \alpha, \beta, \lambda, \delta, \mu)$, defined by means of Horadam polynomials. For functions in this family, we derive the estimations for the initial Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$. Moreover, we obtain the classical Fekete-Szeg\"{o} inequality of functions belonging to this family.

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