61 research outputs found
Subclasses of meromorphically multivalent functions defined by a differential operator
In this paper we introduce and study two new subclasses \Sigma_{\lambda\mu
mp}(\alpha,\beta)\Sigma^{+}_{\lambda\mu mp}(\alpha,\beta)%
(n,\delta)-$neighborhoods of analytic functions to these subclasses of
meromorphically multivalent functions
Coefficient Estimates for a Subclass of Meromorphic Multivalent q-Close-to-Convex Functions
By making use of the concept of basic (or q-) calculus, many subclasses of analytic and symmetric q-starlike functions have been defined and studied from different viewpoints and perspectives. In this article, we introduce a new class of meromorphic multivalent close-to-convex functions with the help of a q-differential operator. Furthermore, we investigate some useful properties such as sufficiency criteria, coefficient estimates, distortion theorem, growth theorem, radius of starlikeness, and radius of convexity for this new subclass.</p
A subclass of meromorphic Janowski-type multivalent q-starlike functions involving a q-differential operator
Keeping in view the latest trends toward quantum calculus, due to its various applications in physics and applied mathematics, we introduce a new subclass of meromorphic multivalent functions in Janowski domain with the help of the q-differential operator. Furthermore, we investigate some useful geometric and algebraic properties of these functions. We discuss sufficiency criteria, distortion bounds, coefficient estimates, radius of starlikeness, radius of convexity, inclusion property, and convex combinations via some examples and, for some particular cases of the parameters defined, show the credibility of these results. © 2022, The Author(s)
New Criteria for Meromorphic Multivalent Alpha-Convex Functions
The aim of the present paper is to obtain sufficient condition for the class of meromorphic p-valent alpha convex functions of order ξ and then to study
mapping properties of the newly defined integral operators. Many known results appeared as special consequences of our work
A class of p-valent meromorphic functions defined by the Liu–Srivastava operator
We introduce a subclass of p-valent meromorphic functions involving the Lui–Srivastava operator and investigate various properties of this subclass. We also indicate the relationships between various results presented in the paper and the results obtained in earlier works.Введено підклас p-валентних мероморфних Функцій, що визначаються оператором Луі - Шрiвастави, та вивчено різноманітні властивості цього підкласу. Також вказано співвідношення між різноманітними результатами, що отримані в роботі, та результатами, отриманими раніш
Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions
To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator. The defined function class combines the concept of spiral-like functions with other studies pertaining to subclasses of multivalent meromorphic functions. Inclusion relations, integral representation, geometrical interpretation, coefficient estimates and solution to the Fekete-Szegö problem of the defined classes are the highlights of this present study. Further to keep up with the present direction of research, we extend the study using quantum calculus. Applications of our main results are given as corollaries
Bounds for the Second Hankel Determinant of Certain Univalent Functions
The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic
function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or
1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated.
The estimates for the Hankel determinant for two other classes are also
obtained. In particular, the estimates for the Hankel determinant of strongly
starlike, parabolic starlike, lemniscate starlike functions are obtained
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