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12 papers
Sharp bounds on Coefficient functionals of certain Sakaguchi functions
Sushil Kumar, Rakesh Kumar Pandey, Pratima Rai
We determine sharp bounds on some Hankel determinants involving initial coefficients, inverse coefficients, and logarithmic inverse coefficients for two subclasses of Sakaguchi fun…
Starlikeness Using Special Functions and Subordination
Meghna Sharma, Naveen Kumar Jain, Sushil Kumar
The association of subordination and special functions is used to find sharp estimates on the parameter such that the analytic function is subordinate to certain functio…
Constrained Radius Estimates Of Certain Analytic Functions
Meghna Sharma, Naveen Kumar Jain, Sushil Kumar
Let denote the Carathéodory class accommodating all the analytic functions having positive real part and satisfying . In this paper, the second coefficien…
Certain subclasses of Analytic Functions with Fixed Second Coefficient
Sushil Kumar, Swati Anand, Naveen Kumar Jain
This paper aims to pursue some classes of normalized analytic functions with fixed second coefficient defined on open unit disk, such that and ${(1+z)f(z)}/…
Generalized radius problems for quotient functions having fixed second coefficient
Swati Anand, Naveen Kumar Jain, Sushil Kumar
In this manuscript, we deal with three classes of quotient functions having fixed second coefficient described on open unit disk. The radius of strongly starlikeness, lemniscate st…
Differential Subordination implications for Certain Carathéodory functions
Meghna Sharma, Sushil Kumar, Naveen Kumar Jain
In this article, we wish to establish some first order differential subordination relations for certain Carathéodory functions with nice geometrical properties. Moreover, several i…