In the present paper, we introduce and explore certain new classes of meromorphic functions related with closed-to-convexity q-calculus. Such results as coefficient estimates, grow property partial sums are derived. It is important to mentioned that our generalization number existing in literature.

The numbers of a-points of different classes of meromorphic functions have been widely studied for more than 120 years. As a culmination of similar studies, there arose classical Nevanlinna theory (1920s) and Ahlfors theory (1935). Clearly, further development should touch not only the numbers of a-points but also on their locations. Similar regularities were established nearly 30 years ago: th...

In this paper, we define two classes of meromorphic multivalent functions in the punctured disc U*=w∈C:0<|w|<1 by using principle subordination. We investigate a number useful results including subordination results, some connections with certain integral operator, sandwich properties, an inclusion relationship, and Fekete-Szegö inequalities for belonging these classes. Our are connected ...

‎In the present paper‎, ‎by making use of the differential subordination and‎ ‎superordination results of Miller and Mocanu‎, ‎  ‎certain classes of admissible functions ‎are determined so that subordination as well as superordination implications‎ ‎of functions associated with an integral operator hold‎. ‎Additionally‎, ‎differential sandwich-type result is obtained‎.

In the work it is shown that not all limit points of poles of the Padé approximants for the last intermediate row are obstructions for uniform convergence of the whole row to an approximable function. The corresponding examples are constructed. For some classes of meromorphic functions it is found under what conditions the limit point is not the obstruction for the uniform convergence of the la...

Combining theorems of Halphen, Floquet, and Picard and a Frobenius type analysis, we characterize rational, meromorphic simply periodic, and elliptic KdV potentials. In particular, we explicitly describe the proper extension of the Airault–McKean–Moser locus associated with these three classes of algebro-geometric solutions of the KdV hierarchy with special emphasis on the case of multiple coll...

‎in the present paper‎, ‎by making use of the differential subordination and‎ ‎superordination results of miller and mocanu‎, ‎  ‎certain classes of admissible functions ‎are determined so that subordination as well as superordination implications‎ ‎of functions associated with an integral operator hold‎. ‎additionally‎, ‎differential sandwich-type result is obtained‎.