Article
Sharp Coefficient Bounds for Certain Subclass of Starlike Functions Connected with q-Analogue of the Exponential Function
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Abstract
In this study, by making the use of q-analogous of the exponential function, a new class of starlike functions is defined. The prime condribution of this study covers the derivation of sharp coefficient bounds in open unit disk, especially the first three coefficient bpunds, Fekete-Szegö functional and upper bounds of second Hankel determinant for the functions belonging to newly defined class. Moreover, in this study we investigate the Zalcman and generalized Zalcman conjectures of this class functions. In addition, here some known results are discussed based on the choices of the involved parameter q.
Keywords
analytic functions, starlike functions, q-analogue of the exponential function, Hankel determinats, Zalcman conjecture
Citation
Mustafa, N. & Nezir, V. (2026). Sharp coefficient bounds for certain subclass of starlike functions connected with q-analogue of the exponential function. Turkish Journal of Science, 11(2), 65–75. https://doi.org/10.66833/TJOS-2026-0007
N. Mustafa and V. Nezir, “Sharp coefficient bounds for certain subclass of starlike functions connected with q-analogue of the exponential function,” Turkish Journal of Science, vol. 11, no. 2, pp. 65–75, 2026, doi: 10.66833/TJOS-2026-0007.
Mustafa N, Nezir V. Sharp coefficient bounds for certain subclass of starlike functions connected with q-analogue of the exponential function. Turkish Journal of Science. 2026;11(2):65–75. doi:10.66833/TJOS-2026-0007.
Mustafa, N. and Nezir, V. (2026), ‘Sharp coefficient bounds for certain subclass of starlike functions connected with q-analogue of the exponential function’, Turkish Journal of Science, 11(2), pp. 65–75. Available at: https://doi.org/10.66833/TJOS-2026-0007.
Mustafa, Nizami, and Veysel Nezir. “Sharp Coefficient Bounds for Certain Subclass of Starlike Functions Connected with Q-analogue of the Exponential Function.” Turkish Journal of Science, vol. 11, no. 2, 2026, pp. 65–75. https://doi.org/10.66833/TJOS-2026-0007.
Mustafa, Nizami, and Veysel Nezir. “Sharp Coefficient Bounds for Certain Subclass of Starlike Functions Connected with Q-analogue of the Exponential Function.” Turkish Journal of Science 11, no. 2 (2026): 65–75. https://doi.org/10.66833/TJOS-2026-0007.
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Published by: Engineering Journals


