Search

n the present paper, the authors introduce a new subclass namely; RL(φ4L, ν) of Kamali-type starlike functions defined in the open unit disk D connected with four-leaf shaped domain. We investigate the bounds of some initial coefficients, Fekete-Szegö inequality and other results of logarithmic coefficients for the function belonging to above class. Relevant connections of the results derived in this paper with those of earlier works are indicated.

In this paper, we apply the concept of q-confluent hypergeometric distribution to introduce and study a unified subclass of univalent functions of complex order ℬζ, γ λ, q(Υ; b, c, m) consisting of all analytic functions, and some known consequences of the results are also derived for this class.

In this paper, we defined a class of analytic functions defined by Hadamard product and Atshan and Rafid operator and obtained some subordinating results for functions in this class.

The objective of this paper is to obtain an upper bound to the second Hankel determinant for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.

In this article, we obtain some subordination and superordination preserving properties of meromorphic univalent functions in the punctured open unit disk associated with an integral operator. Some Sandwich-type results are also presented.

Making use of the Dziok-Srivastava operator, we introduce two classes of analytic functions and investigate convolution properties, the necessary and sufficient condition, coefficient estimates and inclusion properties for these classes.

In the present article, we obtain some applications of first order differential subordination, superordination and sandwich results for higher-order derivatives of p-valent functions involving a generalized differential operator. Some of our results improve and generalize previously known results.

In this paper, we obtain some subordination and superordination-preserving results of analytic functions associated with the Wright generalized hypergeometric function. Sandwich-type result involving this operator is also derived.

The purpose of this paper is to find some subordination preserving properties of analytic functions associated with a class of operators with complex parameters. Due to the compositional structure of the involved operator, we take its advantage in deducing results which involve more familiar operators, thereby, exhibiting the usefulness of the main results.

We give some results for certain subclass of meromorphic function f of complex order defined on the punctured unit disk. A necessary and sufficient condition for functions to belong to the class will be discussed. Further, differential subordinations are also obtained.

In this paper we introduce a linear operator and obtain certain differential subordination properties associated with this linear operator. Some relevant consequences of the main results including new variations of earlier known results are also pointed out.