On q-Calculus Related Generalization of Close-to-Convexity

  • Khalida Inayat Noor Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
  • Muhammad Aslam Noor Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
Keywords: convolution, q-calculus, analytic functions, convex and starlike functions, univalent functions, close-to-convexity

Abstract

We introduce and study $q$-analogue of certain classes of analytic functions which are related with generalized close-to-convexity. Distortion, inclusion results and growth rate of coefficient problem are investigated for these classes. Some applications of our results are highlighted.

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Published
2023-03-24
How to Cite
Noor, K. I., & Noor, M. A. (2023). On q-Calculus Related Generalization of Close-to-Convexity. Earthline Journal of Mathematical Sciences, 12(2), 165-182. https://doi.org/10.34198/ejms.12223.165182
Section
Articles