Univalent functions with missing second coefficient
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this paper, we consider two classes $\mathcal{K}_S$ and $\mathcal{S^*_{S}}$ of convex and starlike functions with respect to symmetric points respectively. We determine bounds on Hankel determinants and Hermitian-Toeplitz determinants involving initial coefficients, initial inverse and initial logarithmic coefficients for such functions with missing second coefficient. Analogous results are also established for two subclasses of $\mathcal{S^*_{S}}$ which are associated with the lemniscate of Bernoulli and the exponential function, respectively.
Abstract
In this paper, we consider two classes $\mathcal{K}_S$ and $\mathcal{S^*_{S}}$ of convex and starlike functions with respect to symmetric points respectively. We determine bounds on Hankel determinants and Hermitian-Toeplitz determinants involving initial coefficients, initial inverse and initial logarithmic coefficients for such functions with missing second coefficient. Analogous results are also established for two subclasses of $\mathcal{S^*_{S}}$ which are associated with the lemniscate of Bernoulli and the exponential function, respectively.