Geometric properties of a certain class of Mittag–Leffler-type functions

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorKumar, Anish
dc.contributor.authorDas, Sourav
dc.contributor.authorMehrez, Khaled
dc.date.accessioned2022-10-27T16:10:02Z
dc.date.available2022-10-27T16:10:02Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractThe main objective of this paper is to establish some sufficient conditions so that a class of normalized Mittag–Leffler-type functions satisfies several geometric properties such as starlikeness, convexity, close-to-convexity, and uniform convexity inside the unit disk. Moreover, pre-starlikeness and k-uniform convexity are discussed for these functions. Some sufficient conditions are also derived so that these functions belong to the Hardy spaces Hp and H∞. Furthermore, the inclusion properties of some modified Mittag–Leffler-type functions are discussed. The various results, which are established in this paper, are presumably new, and their importance is illustrated by several interesting consequences and examples. Some potential directions for analogous further research on the subject of the present investigation are indicated in the concluding section.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H., Kumar, A., Das, S., & Mehrez, K. (2022). “Geometric properties of a certain class of Mittag–Leffler-type functions.” Fractal and Fractional, 6(2), 54. https://doi.org/10.3390/fractalfract6020054en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract6020054
dc.identifier.urihttp://hdl.handle.net/1828/14324
dc.language.isoenen_US
dc.publisherFractal and Fractionalen_US
dc.subjectMittag-Leffler-type functions
dc.subjectunivalent functions
dc.subjectanalytic functions
dc.subjectstarlike functions
dc.subjectconvex functions
dc.subjectclose-to-convex functions
dc.subjectFox-Wright function
dc.subjectBessel-Wright function
dc.subjectgeneral Wright function
dc.subjectSrivastava Mittag-Leffler-type functions
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleGeometric properties of a certain class of Mittag–Leffler-type functionsen_US
dc.typeArticleen_US

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