Subclasses of p-valent k-uniformly convex and starlike funcitons defined by the q-derivative operator
| dc.contributor.author | Ali, Ekram E. | |
| dc.contributor.author | Srivastava, Hari M. | |
| dc.contributor.author | Albalahi, Abeer M. | |
| dc.date.accessioned | 2024-01-29T16:18:03Z | |
| dc.date.available | 2024-01-29T16:18:03Z | |
| dc.date.copyright | 2023 | en_US |
| dc.date.issued | 2023 | |
| dc.description.abstract | The potential for widespread applications of the geometric and mapping properties of functions of a complex variable has motivated this article. On the other hand, the basic or quantum (or q-) derivatives and the basic or quantum (or q-) integrals are extensively applied in many different areas of the mathematical, physical and engineering sciences. Here, in this article, we first apply the q-calculus in order to introduce the q-derivative operator Sⁿₙ ₚᵐq. Secondly, by means of this q-derivative operator, we define an interesting subclass Tℵⁿₗ,ᵐₚ(η,α,κ) of the class of normalized analytic and multivalent (or p-valent) functions in the open unit disk U. This p-valent analytic function class is associated with the class k-UCV of k-uniformly convex functions and the class k-UST of k-uniformly starlike functions in U. For functions belonging to the normalized analytic and multivalent (or p-valent) function class Tℵⁿₗ,ᵐₚ(η,α,κ), we then investigate such properties as those involving (for example) the coefficient bounds, distortion results, convex linear combinations, and the radii of starlikeness, convexity and close-to-convexity. We also consider a number of corollaries and consequences of the main findings, which we derived herein. | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.identifier.citation | Ali, E. E., Srivastava, H. M., & Albalahi, A. M. (2023). Subclasses of p-valent κ-uniformly convex and starlike functions defined by the q-derivative operator. Mathematics, 11(11), 2578. https://doi.org/10.3390/math11112578 | en_US |
| dc.identifier.uri | https://doi.org/10.3390/math11112578 | |
| dc.identifier.uri | http://hdl.handle.net/1828/15903 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mathematics | en_US |
| dc.subject | a nalytic functions | |
| dc.subject | multivalent (or p-valent) functions | |
| dc.subject | uniformly convex functions | |
| dc.subject | uniformly starlike functions | |
| dc.subject | basic or quantum (or q-) analysis | |
| dc.subject | q-derivative operator | |
| dc.subject | hadamard product (or convolution) | |
| dc.subject | generalized q-hypergeometric function | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Subclasses of p-valent k-uniformly convex and starlike funcitons defined by the q-derivative operator | en_US |
| dc.type | Article | en_US |