In this present investigation, we consider the subclass of analytic and bi-univalent functions associated with salagean operator consisting of the function class Σ in the unit open disk, which satisfies the qusi-subordination conditions. Also we obtain the first two Taylor-Maclaurin coefficients for functions in this new subclass. Mathematics Subject Classification: 30C45, 30C50

We define a new subclass of univalent function based on Salagean differential operator and obtained the initial Taylor coefficients using the techniques of Briot-Bouquet differential subordination in association with the modified sigmoid function. Further we obtain the classical Fekete-Szego inequality results.

By making use of the familiar Salagean derivatives, a systematic investigation of a certain subclass of uniformly convex and starlike functions with negative coefficients is presented. In addition to finding various coefficient bounds and a number of characterization and distortion theorems, a number of other potentially interesting properties of this class of functions are investigated. Finall...

In this paper, we define and discuss properties of various classes analytic univalent functions by using modified q-Sigmoid functions. We make use an idea Salagean to introduce the q-analogue differential operator. addition, derive families associated with new q-Salagean q-Ruscheweh operators. obtain coefficient bounds for in such subclasses establish certain growth distortion theorems. By conc...

In this paper, we have discussed the meromorphic p-valent functions that satisfy the differential subordinations z(Ip(r, λ)f(z)) (Ip(r, λ)f(z))(j) ≺ (1 + A−B a βz 1 +Bz )(p+ j), z ∈ ∆, where β is complex number and Ip(r, λ) is salagean Operator. Also we study coefficient inequalities and hadamard product (convolution) and found radius of starlikeness and convexity. We investigate some interesti...

*Correspondence: [email protected] 1School of Mathematics and Statistics, Chifeng University, Chifeng, Inner Mongolia 024000, China Full list of author information is available at the end of the article Abstract In the present paper, we investigate the majorization properties for certain classes of multivalent analytic functions defined by the Salagean operator. Moreover, we point out some new ...