• Kyungpook Mathematical Journal
• /
• 제57권4호
• /
• pp.613-621
• /
• 2017

In this paper, we have constructed subclasses of bi-univalent functions associated with ${\lambda}$-bi-pseudo-starlike functions in the unit disc U. Furthermore we established bound on the coefficients for the subclasses $S^{\lambda}_{\Sigma}(k,{\alpha})$ and $S^{\lambda}_{\Sigma}(k,{\beta})$.

• 대한수학회논문집
• /
• 제39권3호
• /
• pp.647-655
• /
• 2024

In this article, by making use of the λ-pseudo-starlike functions, we introduce a certain family of normalized analytic functions in the open unit disk U and we establish coefficient estimates for the first four determinants of the Toeplitz matrices T₂(2), T₂(3), T₃(2) and T₃(1) for the functions belonging to this family. Further, some known and new results which follow as special cases of our results are also mentioned.

• 호남수학학술지
• /
• 제43권3호
• /
• pp.503-511
• /
• 2021

In this present work, we obtain certain coefficients of the subclass 𝓗_λ,𝛄(s, b, n) of non-Bazilević functions and estimate the relevant connection to the famous classical Fekete-Szegö inequality of functions belonging to this class.