In this study,we derive the sharp bounds of certain Toeplitz determinants whose entries are the coefficients of holomorphic functions belonging to a class defined on the unit disk U.Furthermore,these results are exten...In this study,we derive the sharp bounds of certain Toeplitz determinants whose entries are the coefficients of holomorphic functions belonging to a class defined on the unit disk U.Furthermore,these results are extended to a class of holomorphic functions on the unit ball in a complex Banach space and on the unit polydisc in C^(n).The obtained results provide the bounds of Toeplitz determinants in higher dimensions for various subclasses of normalized univalent functions.展开更多
We introduce a primitive class of analytic functions,by specializing in many well-known classes,classify Ma-Minda functions based on its conditions and their interesting geomet-rical aspects.Further,study a newly de n...We introduce a primitive class of analytic functions,by specializing in many well-known classes,classify Ma-Minda functions based on its conditions and their interesting geomet-rical aspects.Further,study a newly de ned subclass of starlike functions involving a special type of Ma-Minda function introduced here for obtaining inclusion and radius results.We also establish some majorization,Bloch function norms,and other related problems for the same class.展开更多
基金supported by University Grant Commission,New Delhi,India under UGC-Ref.No.1112/(CSIR-UGC NET JUNE 2019).
文摘In this study,we derive the sharp bounds of certain Toeplitz determinants whose entries are the coefficients of holomorphic functions belonging to a class defined on the unit disk U.Furthermore,these results are extended to a class of holomorphic functions on the unit ball in a complex Banach space and on the unit polydisc in C^(n).The obtained results provide the bounds of Toeplitz determinants in higher dimensions for various subclasses of normalized univalent functions.
文摘We introduce a primitive class of analytic functions,by specializing in many well-known classes,classify Ma-Minda functions based on its conditions and their interesting geomet-rical aspects.Further,study a newly de ned subclass of starlike functions involving a special type of Ma-Minda function introduced here for obtaining inclusion and radius results.We also establish some majorization,Bloch function norms,and other related problems for the same class.
