INVESTIGATION OF MULTIVALENT FUNCTIONS IN COMPLEX HILBERT SPACE EMPLOYING FRACTIONAL CALCULUS AND BOREL DISTRIBUTION SERIES
DOI:
https://doi.org/10.55766/sujst10756Keywords:
Analytic functions, Multivalent functions, Borel Distribution, Fractional CalculusAbstract
The purpose of the present paper is to determine the necessary and sufficient condition for the power series whose coefficients are probabilities of the Borel distribution to be in the subclasses and of multivalent functions defined in the open unit disk. By introducing application of fractional calculus, we derive certain interesting geometric properties such as coefficient estimates, extreme points and convex combination.
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