Estimate for Initial MacLaurin Coefficients of Certain Subclasses of Bi-univalent Functions

In this paper, estimates for second and third MacLaurin coefficients of certain subclasses of bi-univalent functions in the open unit disk defined by convolution are determined, and certain special cases are also indicated. The main result extends and improve a recent one obtained by Srivastava et al

Majorization for certain classes of meromorphic functions defined by integral operator

Here we investigate a majorization problem involving starlike meromorphic functions of complex order belonging to a certain subclass of meromorphic univalent functions defined by an integral operator introduced recently by Lashin

Extensions of sufficient conditions for starlikeness and convexity of order α for multivalent function

AbstractIn this paper, we obtain extensions of sufficient conditions for analytic functions f(z) in the open unit disk U to be starlike and convex of order α. Our results unify and extend some starlikeness and convexity conditions for analytic functions discussed by Mocanu (1988) [4], Uyanik et al. (2011) [3] and others

On Some Integral Operators for Certain Classes of p

We study some generalized integral operators for the classes of p-valent functions with bounded radius and boundary rotation. Our work generalizes many previously known results. Many of our results are best possible

METHOD AND SYSTEM FOR MIGRATING A CODE FROM A FIRST FORMAT TO A SECOND FORMAT

The present disclosure relates to a migration tool to convert a code in a first format to a code in a second format. The source code received can be from a user (108) or from a database (106). The input code is said to be in the first format. An Abstract Syntax tree (AST) of the code in the first format is generated by a system (104) by parsing the code. A modified AST is generated based on the AST of the code in the first format. A code in the second format is generated from the modified AST

Effect of shell thickness on exciton and biexciton binding energy of a ZnSe/ZnS core/shell quantum dot

The exciton and biexciton binding energy have been studied for a ZnSe/ZnS core/shell quantum dot using WKB (Wentzel-Kramers-Brillouin) approximation. The exciton binding energy increases for small shell thickness and for large thickness, the binding energy again starts decreasing. A similar result is obtained for biexcitons where for thicker shells, the biexciton attains antibonding.Comment: 5 Figure

Starlikeness of General Integral Operator for Meromorphic Multivalent Functions

We introduce a new integral operator for meromorphic multivalent functions. The starlikeness condition of this integral operator is determined. Several special cases are also discussed in the form of corollaries

Coefficients Estimates of the Class of Biunivalent Functions

Applying the Faber polynomial expansions, we obtain the general coefficient bounds for the class of biunivalent functions with bounded boundary rotations

Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives

Estimates for second and third Maclaurin coefficients of certain bi-univalent functions in the open unit disk defined by convolution are determined. Certain special cases are also indicated