Applications of Babalola q-convolution operator on subclass of analytic functions
Copyright policy )Applications of Babalola q-convolution operator on subclass of analytic functions
AbstractIn this study, we present a specific type of analytic functions called $\mathfrak{B}_{\gamma}(q)$ B γ ( q ) , characterized by the Babalola q-convolution operator. We examine the characteristics of this category and set the limits for the initial four coefficients. In addition, we establish the limits for the Toeplitz determinants of second and third order for the functions within this category. Our discoveries offer fresh perspectives on the behavior of these functions and aid in comprehending their structural characteristics.
- University of The Gambia Gambia
- Department of Mathematics
- King Saud University Saudi Arabia
- Landmark University Nigeria
Toeplitz determinant, coefficient inequalities, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), \(q\)-Babalola convolution operator, analytic functions, Binomial coefficients; factorials; \(q\)-identities, Coefficient problems for univalent and multivalent functions of one complex variable, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, Linear operators on function spaces (general), Analytic functions, QA1-939, q-Babalola convolution operator, Coefficient inequalities, Mathematics
Toeplitz determinant, coefficient inequalities, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), \(q\)-Babalola convolution operator, analytic functions, Binomial coefficients; factorials; \(q\)-identities, Coefficient problems for univalent and multivalent functions of one complex variable, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, Linear operators on function spaces (general), Analytic functions, QA1-939, q-Babalola convolution operator, Coefficient inequalities, Mathematics
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