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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
Full Length Article

Volume 25 โ€ข Issue 4 โ€ข PP: 346-356 โ€ข 2025

Subclass of uniformly starlike functions associated with a linear operator whose coefficients are the reciprocal Gamma function

Jamal Salah 1*
1College of Applied and Health Sciences, A'Sharqiyah University, Post Box No. 42, Post Code No. 400 Ibra, Sultanate of Oman
* Corresponding Author.
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ยฉ 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: November 07, 2024 Revised: December 28, 2024 Accepted: January 24, 2025

Abstract

This study, aims to consider the coefficients of the reciprocal Gamma function in order introduce a linear operator by the means of Hadamard product. Thus, we define a new subclass of uniformly starlike functions of order ๐›ผ, Γ−1(๐›ผ). Further, we obtain coefficient estimates, distortion theorems, convex linear combinations and radii of close-to-convexity, starlikeness and convexity for functions ๐‘“∈Γ−1(๐›ผ). In addition, we investigate the inclusion conditions for the Hadamard product and the Integral transform.

Keywords

Uniformly starlike functions Gamma function reciprocal Gamma function Hadamard product

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Salah, Jamal. "Subclass of uniformly starlike functions associated with a linear operator whose coefficients are the reciprocal Gamma function." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 4, 2025, pp. 346-356. DOI: https://doi.org/10.54216/IJNS.250429
Salah, J. (2025). Subclass of uniformly starlike functions associated with a linear operator whose coefficients are the reciprocal Gamma function. International Journal of Neutrosophic Science, Volume 25(Issue 4), 346-356. DOI: https://doi.org/10.54216/IJNS.250429
Salah, Jamal. "Subclass of uniformly starlike functions associated with a linear operator whose coefficients are the reciprocal Gamma function." International Journal of Neutrosophic Science Volume 25, no. Issue 4 (2025): 346-356. DOI: https://doi.org/10.54216/IJNS.250429
Salah, J. (2025) 'Subclass of uniformly starlike functions associated with a linear operator whose coefficients are the reciprocal Gamma function', International Journal of Neutrosophic Science, Volume 25(Issue 4), pp. 346-356. DOI: https://doi.org/10.54216/IJNS.250429
Salah J. Subclass of uniformly starlike functions associated with a linear operator whose coefficients are the reciprocal Gamma function. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 4):346-356. DOI: https://doi.org/10.54216/IJNS.250429
J. Salah, "Subclass of uniformly starlike functions associated with a linear operator whose coefficients are the reciprocal Gamma function," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 4, pp. 346-356, 2025. DOI: https://doi.org/10.54216/IJNS.250429
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