In present paper, we use fractional integral and Wanas differential operator to obtain some subordination superordination results associated with Hadamard product for univalent analytic functions defined in the open unit disk. These are applied sandwich results. Our extend corresponding previously known

The results from this paper are related to the geometric function theory. In order obtain them, we use technique based on differential subordination, one of newest techniques used in field, also known as admissible functions. For that, appropriate classes functions first defined. Based these classes, some subordination and superordination for multivalent meromorphic functions, analytic puncture...

In this article, we use the q-derivative operator and principle of subordination to define a new subclass analytic functions related q-Ruscheweyh operator. Sufficient conditions, sharp bounds for initial coefficients, Fekete–Szegö functional Toeplitz determinant are investigated class functions. Additionally, also present several established consequences derived from our primary findings.

The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequen...

Keywords: Analytic functions Differential subordination Ma–Minda type starlike and convex functions Integral operators a b s t r a c t Two integral operators on the classes consisting of normalized p-valent Ma–Minda type starlike and convex functions are considered. Functions in these classes have the form zf ′ (z)/f (z) ≺ pϕ(z) and 1 + zf ′′ (z)/f ′ (z) ≺ pϕ(z) respectively, where ϕ is a conve...

Department of Mathematics and Astronomy University of Lucknow, Lucknow 226007, India sharma [email protected] pathakmamta [email protected] Abstract In this paper, a necessary and sufficient condition for a function to be in the class Tμ(α, p,A,B) of p-valent analytic functions involving fractional calculus operator is obtained. Distortion bounds, subordination result, convolution results ...