The Coefficients of Powers of Bazilević Functions
Copyright policy )The Coefficients of Powers of Bazilević Functions
In the present work, a sharp bound on the modulus of the initial coefficients for powers of strongly Bazilević functions is obtained. As an application of these results, certain conditions are investigated under which the Littlewood-Paley conjecture holds for strongly Bazilević functions for large values of the parameters involved therein. Further, sharp estimate on the generalized Fekete-Szegö functional is also derived. Relevant connections of our results with the existing ones are also made.
- Pukyong National University Korea (Republic of)
- University of Delhi India
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Littlewood-Paley conjecture, Coefficient problems for univalent and multivalent functions of one complex variable, QA1-939, starlike function, univalent function, strongly Bazilević function, Mathematics, Fekete-Szegö functional
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Littlewood-Paley conjecture, Coefficient problems for univalent and multivalent functions of one complex variable, QA1-939, starlike function, univalent function, strongly Bazilević function, Mathematics, Fekete-Szegö functional
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