Unknown

Dataset Information

0

Radius constants for analytic functions with fixed second coefficient.


ABSTRACT: Let f(z) = z + ∑(n=2)(∞) (a)n(z) (n) be analytic in the unit disk with the second coefficient a2 satisfying |a2| = 2b, 0 ≤ b ≤ 1. Sharp radius of Janowski starlikeness is obtained for functions f whose nth coefficient satisfies |a(n)| ≤ cn + d (c, d ≥ 0) or |a(n)| ≤ c/n  (c > 0 and n ≥ 3). Other radius constants are also obtained for these functions, and connections with earlier results are made.

SUBMITTER: Nargesi MM 

PROVIDER: S-EPMC4102033 | biostudies-other | 2014

REPOSITORIES: biostudies-other

Similar Datasets

| S-EPMC3932209 | biostudies-other
| S-EPMC4014317 | biostudies-literature
| S-EPMC3819042 | biostudies-literature
| S-EPMC5901517 | biostudies-literature
| S-EPMC6750076 | biostudies-literature
| S-EPMC2584208 | biostudies-other
| S-EPMC10603293 | biostudies-literature
| S-EPMC8510860 | biostudies-literature
| S-EPMC3482254 | biostudies-other
| S-EPMC11317987 | biostudies-literature