Toeplitz Determinants for a Subclass of Analytic Functions
Keywords:
Analytic functions, Differential Operators, Toeplitz Determinant
Abstract
A new subclass of analytic functions that generalizes some known subclasses of analytic functions was defined and investigated. The bounds for Toeplitz determinants of T2(2), T2(3), T3(1) and T3(2) were obtained.
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References
1. Duren P.L. (1983). Univalent functions. Graduate texts in mathematics. Springer-Verlag. New York Inc. New York.
2. Lecko, A and Kanas, S. (1990). On the Fekete Szego problem and the domain in convexity for certain class of univalent functions. Folia Scientiarum Universitatis Technical Resolviensis, 73, 49-56.
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6. Ramanchandran, C and Kavitha, D. (2017). Toeplitz determinant for some subclasses of analytic functions. Globa Journal of Pure and Applied Mathematics, 13(2), 785-793.
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8. Thomas, D.K and Halim S.A (2016). Toeplitz matrices whose elements are the coefficients of starlike and close-to-convex functions. Bulleting of the Malaysian Mathematical Sciences Society,, 193-217.
9. Ye, K and Lim, L.K. (2016). Every matrix is a product of Toeplitz matrices. Foundations of Computational Mathematics, 16(3), 577-598.
2. Lecko, A and Kanas, S. (1990). On the Fekete Szego problem and the domain in convexity for certain class of univalent functions. Folia Scientiarum Universitatis Technical Resolviensis, 73, 49-56.
3. Lecko, A and Kanas, S. (1993). Some generalizations of analytic condition for class of convex in a given direction. Folia Scientiarum Universitatis Technical Resolviensis, 121(14), 23-24.
4. Libera, R.J and Zlotkiewicz, E.J (1983). Coefficient bounds for the inverse of a function with derivative. Proceedings of American Mathematical Society. 87(2),, 251-257.
5. Radhika, V. Sivasubramanian, S. Murugusundaramoorthy, G and Jahangiri, Jay M. (2016). Toeplitz matrices whose elements are the coefficients of functions with bounded boundary rotation. Journal of Complex Analysis. http//dx.doi.org/10.1155/2016/4960704, 1-4.
6. Ramanchandran, C and Kavitha, D. (2017). Toeplitz determinant for some subclasses of analytic functions. Globa Journal of Pure and Applied Mathematics, 13(2), 785-793.
7. Salagean, S. (1983). Subclasses of univalent functions. Lecture notes in Mathematics. Springer, Berlin, 1013, 362-372.
8. Thomas, D.K and Halim S.A (2016). Toeplitz matrices whose elements are the coefficients of starlike and close-to-convex functions. Bulleting of the Malaysian Mathematical Sciences Society,, 193-217.
9. Ye, K and Lim, L.K. (2016). Every matrix is a product of Toeplitz matrices. Foundations of Computational Mathematics, 16(3), 577-598.
Published
2021-05-03
How to Cite
Ayinla, R., & Bello, R. (2021). Toeplitz Determinants for a Subclass of Analytic Functions. Journal of Progressive Research in Mathematics, 18(1), 99-106. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/2034
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