Higher-order q-derivatives and their applications to subclasses of multivalent Janowski type q-starlike functions
نویسندگان
چکیده
Abstract In the present investigation, with help of certain higher-order q -derivatives, some new subclasses multivalent -starlike functions which are associated Janowski defined. Then, interesting results, for example, radius problems and results related to distortion, derived. We also derive a sufficient condition coefficient inequalities our defined function classes. Some known consequences this subject highlighted. Finally, well-demonstrated fact about $(p,q)$ ( p , q ) -variations is given in concluding section.
منابع مشابه
COEFFICIENT ESTIMATES OF NEW CLASSES OF q–STARLIKE AND q–CONVEX FUNCTIONS OF COMPLEX ORDER
We introduce new classes of q -starlike and q -convex functions of complex order involving the q -derivative operator defined in the open unit disc. Furthermore, we find estimates on the coefficients for second and third coefficients of these classes.
متن کاملApplications of subordination theory to starlike functions
Let $p$ be an analytic function defined on the open unit disc $mathbb{D}$ with $p(0)=1.$ The conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{C}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. Similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of Bernoulli $|w^{2}-1|=1$ ...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2021
ISSN: ['1687-1839', '1687-1847']
DOI: https://doi.org/10.1186/s13662-021-03611-6