| Coefficient inequality for certain subclass of $p$-valent analytic functions whose reciprocal derivative has a positive real part |
| D. Vamshee Krishna, B. Venkateswarlu and T. RamReddy |
Abstract The objective of this paper is to introduce certain new subclass of $p$-valent analytic functions in the open unit disc $E=\{z:|z|<1\}$ and obtain sharp upper bound for the second Hankel determinant of functions belonging to this class, using Toeplitz determinants.
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Keywords: $p$-valent analytic function; function whose derivative has a positive real part; second Hankel determinant; positive real function; Toeplitz determinants |
MSC: 30C45, 30C50 |
Pages: 87$-$92 |
Volume 68 , Issue 2 , 2016 |
