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Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions
Two new subclasses of the class of bi-Bazilevič functions, which are related to the Fibonacci-number series and the square-root functions, are...
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Difference formula defined by a new differential symmetric operator for a class of meromorphically multivalent functions
Symmetric operators have benefited in different fields not only in mathematics but also in other sciences. They appeared in the studies of boundary...
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Elementary Analytic Functions
Conformal map**s are of immense importance in various branches of mathematics and in many applications. To solve many problems, one needs to be...
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Certain classes of bi-univalent functions related to Shell-like curves connected with Fibonacci numbers
In 2010, Srivastava et al. [
38 ] revived the study of coefficient problems for bi-univalent functions. Due to the pioneering work of Srivastava et al.... -
Fekete–Szegö problem for some subclasses of bi-univalent functions
Certain new subclasses of bi-univalent analytic functions are introduced in this paper using the concept of subordination. Non-sharp bounds for the...
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Majorization problems for class of q-starlike functions
Considering the most recent developments in quantum calculus and its numerous uses in physics and applied mathematics, this topic has inspired and...
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Two coefficient conjectures for nonvanishing Hardy functions, II
Recently the author proved that the Hummel–Scheinberg–Zalcman conjecture of 1977 on coefficients of nonvanishing H p functions is true for all p = 2 m,...
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Sharp bounds on the third Hankel determinant for the Ozaki close-to-convex and convex functions
Our main purpose in this paper is to obtain certain sharp estimates of the third Hankel determinant for the class ℱ of Ozaki close-to-convex...
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Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions
In this paper, we have determined the sharp lower and upper bounds on the fourth-order Hermitian-Toeplitz determinant for starlike functions with...
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Two Coefficient Conjectures for Nonvanishing Hardy Functions, I
There are two eminent still open conjectures for nonvanishing holomorphic Hardy functions f(z) on the unit disk. The Hummel–Scheinberg–Zalcman...
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New classes of pseudo-type bi-univalent functions
In this paper, we introduce and investigate two new subclasses of pseudo-type bi-univalent functions which were defined by linear combinations of...