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Fekete Szegö properties for a class of univalent functions of complex order associated with q-difference operator
In this paper we introduce new class of q-starlike and q-convex functions of complex order involving the q-derivative operator. Morever, we find...
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Loewner Theory for Bernstein Functions I: Evolution Families and Differential Equations
One-parameter semigroups of holomorphic functions appear naturally in various applications of Complex Analysis, and in particular, in the theory of...
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On sharp bounds of certain close-to-convex functions
We derive general formula for the fourth coefficient of the functions belonging to the Carathéodory class involving the parameters lying in the open...
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On a geometric study of a class of normalized functions defined by Bernoulli’s formula
The central purpose of this effort is to investigate analytic and geometric properties of a class of normalized analytic functions in the open unit...
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Some properties of starlike functions subordinate to k-Pell–Lucas numbers
In this current work, we introduce a subfamily of analytic functions endowed with k -Pell–Lucas numbers. The radius problems, basic geometric...
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Bi-Starlike Function of Complex Order Involving Double Zeta Functions in Shell Shaped Region
In the contemporary paper concerning double zeta functions, we demarcated two new-fangled subclasses of bi-starlike and bi-convex function of complex...
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Estimation of initial Maclaurin coefficients of certain subclasses of bounded bi-univalent functions
In this paper, two bounded bi-univalent function subclasses were defined by using Salagean q -differential operator. The functions are defined in the...
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The Second- and Third-Order Hermitian Toeplitz Determinants for Some Subclasses of Analytic Functions Associated with Exponential Function
In the current investigation, estimates for the second- and third-order Hermitian Toeplitz determinants for few subclasses of analytic functions...
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Sharp Bounds on Hermitian Toeplitz Determinants for Sakaguchi Classes
The main purpose of this paper is to derive the sharp lower and upper bounds on Hermitian Toeplitz determinants for starlike and convex functions...
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Univalent and Multivalent Functions
Let S denote the family of all function \(f(z)=z+a_{2}z^{2}+...\)...
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Bounds on Hermitian-Toeplitz and Hankel determinants for strongly starlike functions
The sharp upper and lower bounds on the Hermitian-Toeplitz determinant of third order are computed for the classes of strongly starlike functions,...
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Second order linear differential equations with a basis of solutions having only real zeros
Let A be a transcendental entire function of finite order. We show that, if the differential equation w ″ + Aw = 0 has two linearly independent...