Coefficients estimate of holomorphic functions defined by neutrosophic q-poisson distribution in conic domain
*Ghadeer Kareem SaeedCorresponding authorGhadeer.kareem@mu.edu.iqDepartment of Mathematics College of Education for Pure Sciences Al-Muthanna UniversitySamawah, Al-Muthana, IraqView full profile → , Salah Mahdi Alisalah.mahdi@qu.edu.iqDepartment of Medical and Basic Sciences College of Nursing University of Al-Qadisiyah Diwaniyah, Al-Qadisiyah, IraqView full profile → , Rafid Habib Butisci.rafid@mu.edu.iqDepartment of Mathematics and Computer Applications College of Science Al-Muthanna UniversitySamawah, Al-Muthana, IraqView full profile → , Mohammad El-Ityan52107151010@std.bau.edu.joDepartment of Mathematics Faculty of Science Al-Balqa Applied UniversityAl-Salt, 19117, JordanView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Nov 2025
- Published Online:
- 27 Jun 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2564
- Pages:
- 1179–1189
Abstract
Keywords
Subject Classifications
References
[1] P. L. Duren, Univalent Functions, Fundamental Principles of Mathematical Sciences, vol. 259. New York, USA: Springer-Verlag (1983).
[2] F. H. Jackson, “On basic double hypergeometric functions,” The Quarterly Journal of Mathematics, vol. os-13, no. 1, pp. 69–82 (1942), doi: 10.1093/qmath/os-13.1.69.
[3] F. H. Jackson, “XI.—On q-functions and a certain difference operator,” Earth and Environmental Science Transactions of the Royal Society of Edinburgh, vol. 46, no. 2, pp. 253–281 (1909).
[4] H. Exton, q-Hypergeometric Functions and Applications. Ellis Horwood Ltd./Halsted Press, pp. 1–347 (1983).
[5] A. S. Tayyah and W. G. Atshan, “A class of bi-Bazilevič and bi-pseudo-starlike functions involving the Tremblay fractional derivative operator,” Problems of Analysis, vol. 14, no. 2, pp. 145–161 (2025).
[6] A. A. Attiya, R. W. Ibrahim, A. M. Albalahi, E. E. Ali, and T. Bulboacă, “A differential operator associated with q-Raina function,” Symmetry, vol. 14, no. 8, p. 1518 (2022), doi: 10.3390/sym14081518.
[7] Q. A. Shakir, A. S. Tayyah, D. Breaz, L. I. Cotîrlă, E. Rapeanu, and F. M. Sakar, “Upper bounds of the third Hankel determinant for bi-univalent functions in crescent-shaped domains,” Symmetry, vol. 16, no. 10, p. 1281 (2024).
[8] M. El-Ityan, T. Al-Hawary, B. A. Frasin, and I. Aldawish, “A new subclass of bi-univalent functions defined by subordination to Laguerre polynomials and the (p, q)-derivative operator,” Symmetry, vol. 17, no. 7, p. 982 (2025).
[9] A. S. Tayyah and W. G. Atshan, “New results on (r, k, μ)-Riemann–Liouville fractional operators in complex domain with applications,” Fractal and Fractional, vol. 8, no. 3, p. 165 (2024).
[10] S. H. Hadi, M. Darus, and R. W. Ibrahim, “Third-order Hankel determinants for q-analogue analytic functions defined by a modified q-Bernardi integral operator,” Quaestiones Mathematicae, vol. 47, no. 10, pp. 2109–2131 (2024).
[11] S. H. Hadi, M. Darus, B. Alamri, Ş. Altınkaya, and A. Alatawi, “On classes of ζ-uniformly q-analogue of analytic functions with some subordination results,” Applied Mathematics in Science and Engineering, vol. 32, no. 1, p. 2312803 (2024).
[12] M. El-Ityan, M. A. Sabri, S. Hammad, B. Frasin, T. Al-Hawary, and F. Yousef, “Third-order Hankel determinant for a class of bi-univalent functions associated with sine function,” Mathematics, vol. 13, no. 17, p. 2887 (2025).
[13] H. M. Srivastava, S. H. Hadi, and M. Darus, “Some subclasses of p-valent γ-uniformly type q-starlike and q-convex functions defined using a certain generalized q-Bernardi integral operator,” Journal of the Royal Academy of Exact, Physical and Natural Sciences. Series A: Mathematics, vol. 117, no. 1, Art. no. 50 (2023).
[14] M. El-Ityan, T. Al-Hawary, S. Hammad, and B. Frasin, “A new subclass of bi-univalent functions of complex order defined by the symmetric q-derivative and subordination,” Gulf Journal of Mathematics, vol. 19, no. 2, pp. 111–120 (2025).
[15] S. H. Hadi and M. Darus, “Differential subordination and superordination of a q-derivative operator connected with the q-exponential function,” International Journal of Nonlinear Analysis and Applications, vol. 13, no. 2, pp. 2795–2806 (2022).
[16] L. E. Jalil, M. El-Ityan, and R. H. Buti, “Geometric properties of neutrosophic q-Poisson distribution series through Bmα operator,” International Journal of Neutrosophic Science (IJNS), vol. 25, no. 4 (2025).
[17] B. S. Jubeir, M. El-Ityan, R. H. Buti, and M. H. Hamza, “On class of bi-univalent functions involving neutrosophic q-Poisson distribution series,” International Journal of Neutrosophic Science (IJNS), vol. 26, no. 3 (2025).
[18] A. Alsoboh, A. Amourah, M. Darus, and R. I. A. Sharefeen, “Applications of neutrosophic q-Poisson distribution series for subclass of analytic functions and bi-univalent functions,” Mathematics, vol. 11, no. 4, p. 868 (2023).
[19] O. Alnajar, K. Alshammari, and A. Amourah, “The neutrosophic Poisson distribution applied to Horadam polynomial-subordinate bi-univalent functions,” European Journal of Pure and Applied Mathematics, vol. 18, no. 2, pp. 5955–5955 (2025).
[20] A. Alsoboh, M. A. Sabri, H. Almutairi, Y. Al-Qudah, A. Amourah, and A. A. Al-Maqbali, “Coefficient bounds and Fekete-Szego inequalities for a subclass of bi-univalent functions defined via ϱ neutrosophic-Poisson distribution,” Neutrosophic Sets and Systems, vol. 91, pp. 286–304 (2025).
[21] S. Kanas, “Coefficient estimates in subclasses of the Carathéodory class related to conical domains,” Acta Mathematica Universitatis Comenianae. New Series, vol. 74, no. 2, pp. 149–161 (2005).
[22] S. Kanas and A. Wisniowska, “Conic regions and k-uniform convexity,” Journal of Computational and Applied Mathematics, vol. 55, no. 1–2, pp. 327–336 (1999).
[23] S. Kanas and A. Wiśniowska, “Conic domains and starlike functions,” Romanian Journal of Pure and Applied Mathematics, vol. 45, no. 4, pp. 647–658 (2000).
[24] S. Khan, N. Khan, A. Hussain, S. Araci, B. Khan, and H. H. Al-Sulami, “Applications of symmetric conic domains to a subclass of q-starlike functions,” Symmetry, vol. 14, no. 4, p. 803 (2022).
[25] M. S. Ur Rehman, Q. Z. Ahmad, I. Al-Shbeil, S. Ahmad, A. Khan, B. Khan, and J. Gong, “Coefficient inequalities for multivalent Janowski type q-starlike functions involving certain conic domains,” Axioms, vol. 11, no. 10, p. 494 (2022).
[26] S. A. Al-Ameedee and A. J. Obaid, “New results and application of differential quasi subordinations for higher-order derivatives of meromorphic multivalent functions,” Journal of Interdisciplinary Mathematics, vol. 26, no. 4, pp. 643–650 (2023), doi: 10.47974/JIM-1483.
[27] S. Khan, S. Hussain, and M. Darus, “Inclusion relations of q-Bessel functions associated with generalized conic domain,” AIMS Mathematics, vol. 6, no. 4, pp. 3624–3640 (2021).




