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math.CV2022

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)}/…

math.CV2022

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…

math.CV2021

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…

math.CV2020

Differential Subordinations For Functions With Positive Real Part Using Admissibility Conditions

Meghna Sharma, Sushil Kumar, Naveen Kumar Jain

Some sufficient conditions on certain constants which are involved in some first, second and third order differential subordinations associated with certain functions with positive…

math.CV2020

Certain Estimates of Normalized Analytic Functions

Swati Anand, Naveen Kumar Jain, Sushil Kumar

Let be a normalized convex function defined on open unit disk . For a unified class of normalized analytic functions which satisfy the second order differential sub…

math.CV2020

Sharp Bohr Radius Constants For Certain Analytic Functions

Swati Anand, Naveen Kumar Jain, Sushil Kumar

The Bohr radius for a class consisting of analytic functions in unit disc is the largest