Some coefficient properties of a certain family of regular functions associated with lemniscate of Bernoulli and Opoola differential operator
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Date
2024
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Abstract
In this exploration, we introduce a certain family of regular (or analytic) functions in association with the right half of the Lemniscate of Bernoulli and the well-known Opoola differential operator. For the regular function f studied in
this work, some estimates for the early coefficients, Fekete-Szego functionals and second and third Hankel determinants are established. Another established result is the sharp upper estimate of the third Hankel determinant for the inverse function f^(−1) of f .