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Hankel and Toeplitz determinants of logarithmic coefficients of Inverse functions for certain classes of univalent functions
Sanju Mandal, Partha Pratim Roy, Molla Basir Ahamed
The Hankel and Toeplitz determinants and are defined as: \begin{align*} H_{2,1}(F_{f^{-1}}/2):= \begin{vmatrix} Γ_1 & Γ_2 Γ_2 & Γ_3…
Second Hankel determinant of logarithmic coefficients of inverse functions in certain classes of univalent functions
Sanju Mandal, Molla Basir Ahamed
The Hankel determinant of logarithmic coefficients is defined as: \begin{align*} H_{2,1}(F_{f^{-1}}/2):= \begin{vmatrix} Γ_1 & Γ_2 Γ_2 & Γ_3 \end{vmatrix}=Γ…
Entire Solutions for quadratic trinomial-type partial differential-difference equations in
Sanju Mandal, Molla Basir Ahamed
In this paper, utilizing Nevanlinna theory, we study existence and forms of the entire solutions of the quadratic trinomial-type partial differential-difference equations in…
Characterization of solutions of refined Fermat-type functional equations in
Molla Basir Ahamed, Sanju Mandal
The main purpose of this article is concerned with the existence and the precise forms of the transcendental solutions of several refined versions of Fermat-type functional equatio…
Second Hankel determinant of Logarithmic coefficients for Starlike and Convex functions associated with lune
Sanju Mandal, Molla Basir Ahamed
The Hankel determinant is defined as: \begin{align*} H_{2,1}(F_{f}/2):= \begin{vmatrix} γ_1 & γ_2 γ_2 & γ_3 \end{vmatrix}, \end{align*} where and $γ_…
Sharp bounds for second Hankel determinant of logarithmic coefficients for certain classes of univalent functions
Sanju Mandal, Partha Pratim Roy, Molla Basir Ahamed
The Hankel determinant is defined as: \begin{align*} H_{2,2}(F_{f}/2):= \begin{vmatrix} γ_2 & γ_3 γ_3 & γ_4 \end{vmatrix}, \end{align*} where and $γ_…