International Journal of Neutrosophic Science

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Volume 25 , Issue 4 , PP: 346-356, 2025 | Cite this article as | XML | PDF | Full Length Article

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

Jamal Salah 1 *

  • 1 College of Applied and Health Sciences, A'Sharqiyah University, Post Box No. 42, Post Code No. 400 Ibra, Sultanate of Oman - (damous73@yahoo.com)
  • Doi: https://doi.org/10.54216/IJNS.250429

    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 𝛼, Γ−1(𝛼). Further, we obtain coefficient estimates, distortion theorems, convex linear combinations and radii of close-to-convexity, starlikeness and convexity for functions 𝑓∈Γ−1(𝛼). 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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    Cite This Article As :
    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. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 346-356, 2025. DOI: https://doi.org/10.54216/IJNS.250429