Abstract
In recent years, special functions such as Bessel functions have been widely used in many areas of mathematics and physics. We are essentially motivated by the recent development; in our present investigation, we make use of certain conic domains and define a new class of analytic functions associated with the Dini functions. We derive inclusion relationships and certain integral preserving properties. By applying the Bernardi-Libera-Livingston integral operator, we obtain some remarkable applications of our main results. Finally, in the concluding section, we recall the attention of curious readers to studying the q-generalizations of the results presented in this paper. Furthermore, based on the suggested extension, the (p,q)-extension will be a relatively minor and unimportant change, as the new parameter p is redundant.
Highlights
Let the symbol A mean the class of all analytic functions t in the open unit disk: E = {ζ : ζ ∈ C and |ζ | < 1}
The theory of special functions is an important component in most branches of mathematics
We make use of certain conic domains and define a new class of analytic functions associated with the Dini functions
Summary
Let the symbol A mean the class of all analytic functions t in the open unit disk: E = {ζ : ζ ∈ C and |ζ | < 1} Robertson [7] introduced and studied the classes of starlike S ∗ (γ) and convex C(γ) functions of order γ as follows In 1964, Libera [9] introduced the class K(γ, α) of close to convex functions of order γ and type α (0 ≤ α < 1), which is defined by Many researchers have recently examined different classes of analytic and univalent functions in various areas; see for more information [10,11,12,13,14,15,16,17,18].
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
