Neighborhoods of Certain Classes of Analytic Functions Defined By Miller-Ross Function

Abstract

Bu makalede, normalize edilmiş Miller-Ross yardımıyla tanımlanan negatif katsayılı açık U birim diskinde analitik fonksiyonların yeni bir alt sınıfını tanıtacağız. Bu makalenin amacı, tanıtılan bu alt sınıfa ait Miller-Ross fonksiyonu için katsayı eşitsizliklerini, indirgeme bağıntılarını ve komşuluk özelliklerini belirlemektir.

Keywords

• Analytic function
• starlike and convex functions
• Rabotnov function
• neighborhoods

References

1. Aktaş, İ., & Orhan, H. (2015). Distortion bounds for a new subclass of analytic functions and their partial sums. Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics, Series III, 8(2), 1-12.
2. Altıntaş, O., & Owa, S. (1996). Neighborhoods of certain analytic functions with negative coefficients. Int. J. Math. and Math. Sci., 19, 797-800.
3. Altıntaş, O., Özkan, E., & Srivastava, H. M. (2000). Neighborhoods of a class of analytic functions with negative coefficients. Appl. Math. Let., 13, 63-67.
4. Çağlar, M., Deniz, E., & Kazımoğlu, S. (2020). Neighborhoods of certain classes of analytic functions defined by normalized function Turkish Journal of Science, 5 (3), 226-232.
5. Darwish, H. E., Lashin, A. Y., & Hassan, B. F. (2015). Neighborhood properties of generalized Bessel function. Global Journal of Science Frontier Research (F), 15(9), 21-26.
6. Deniz, E., & Orhan, H. (2010). Some properties of certain subclasses of analytic functions with negative coefficients by using generalized Ruscheweyh derivative operator. Czechoslovak Math. J., 60(135), 699-713.
7. Goodman, A. W. (1957). Univalent functions and nonanalytic curves. Proc. Amer. Math. Soc., 8, 598-601.
8. Keerthi, B. S., Gangadharan, A., & Srivastava, H. M. (2008). Neighborhoods of certain subclasses of analytic functions of complex order with negative coefficients. Math. Comput. Model., 47, 271-277.

9. Miller, K. S., & Ross, B. (1993). An introduction to the fractional calculus and fractional differential equations. Wiley.
10. Murugusundaramoorthy, G., & Srivastava, H. M. (2004). Neighborhoods of certain classes of analytic functions of complex order. J. Inequal. Pure Appl. Math., 5(2), Art. 24. 8 pp.
11. Orhan, H. (2007). On neighborhoods of analytic functions de_ned by using hadamard product. Novi Sad J. Math., 37(1), 17-25.
12. Ruscheweyh, S. (1981). Neighborhoods of univalent functions. Proc. Amer. Math. Soc., 81(4), 521-527.
13. Silverman, H. (1995). Neighborhoods of a classes of analytic function. Far East J. Math. Sci., 3(2), 175-183.
14. Srivastava, H. M., & Bulut, S. (2012) Neighborhood properties of certain classes of multivalently analytic functions associated with the convolution structure. Appl. Math. Comput., 218, 6511-6518.