Some Useful Results on Fuzzy Differential Subordination of Multivalent Functions Defined by Borel Distribution Series
Abstract
In this work, we define and study some families of multivalent analytic functions defined by the fuzzy subordination and Borel distribution. We discuss some interesting inclusion results and various other useful properties involving integral of these families.
References
Altinkaya, S., & Wanas, A. K. (2020). Some properties for fuzzy differential subordination defined by Wanas operator. Earthline Journal of Mathematical Sciences, 4(1), 51-62. https://doi.org/10.34198/ejms.4120.5162
Azzam, A. A., Shah, S. A., Catas, A., & Cotîrla, L.-I. (2023). On fuzzy spiral-like functions associated with the family of linear operators. Fractal Fract., 7, 145. https://doi.org/10.3390/fractalfract7020145
Haydar, E. A. (2015). On fuzzy differential subordination. Math. Moravica, 19, 123-129. https://doi.org/10.5937/MatMor1501123H
Lupas, A. A. (2013). A note on special fuzzy differential subordinations using generalized Salagean operator and Ruscheweyh derivative. J. Comput. Anal. Appl., 15, 1476-1483.
Lupaş, A. A. (2017). On special fuzzy differential subordinations using multiplier transformation. J. Comp. Anal. Appl., 23(6), 1029-1035.
Lupas, A. A. (2018). A note on special fuzzy differential subordinations using multiplier transformation and Ruscheweyh derivative. J. Comput. Anal. Appl., 25, 1116-1124.
Lupas, A. A., & Cãtas, A. (2021). Fuzzy differential subordination of the Atangana-Baleanu fractional integral. Symmetry, 13, 1929. https://doi.org/10.3390/sym13101929
Miller, S. S., & Mocanu, P. T. (2000). Differential Subordinations: Theory and Applications. Marcel Dekker Inc.
Noor, K. I., & Noor, M. A. (2022). Fuzzy differential subordination involving generalized Noor-Sălăgean operator. Inf. Sci. Lett., 11(6), 1-7. https://doi.org/10.18576/isl/110606
Naik, U. H., Shaikh, R. M., Gophane, M. T., & Wanas, A. K. (2022). Some differential subordinations and fuzzy differential subordinations using generalized integral operator. Italian Journal of Pure and Applied Mathematics, 48, 830-842.
Masih, V. S., Cheshmavar, J., & Maghsoudi, S. (2023). On the behavior of analytic representation of multivalent α-convex functions. Indian Journal of Pure and Applied Mathematics. https://doi.org/10.1007/s13226-023-00509-9
Oros, G. I., & Oros, Gh. (2011). The notion of subordination in fuzzy set theory. General Mathematics, 19(4), 97-103.
Oros, G. I., & Oros, Gh. (2012). Fuzzy differential subordination. Acta Universitatis Apulensis, 30, 55-64.
Oros, G. I., & Oros, Gh. (2012). Dominants and best dominants in fuzzy differential subordinations. Studia Universitatis Babes-Bolyai Mathematica, 57, 239-248.
Oros, G. I., & Oros, Gh. (2012). Briot-Bouquet fuzzy differential subordination. Analytic Universitatis Oradea Fasciculus Mathematica, 19, 83-87.
Srivastava, H. M., & El-deeb, S. M. (2021). Fuzzy differential subordinations based upon the Mittag-Leffler type Borel distribution. Symmetry, 13, 1023. https://doi.org/10.3390/sym13061023
Wanas, A. K., & Khuttar, J. A. (2020). Applications of Borel distribution series on analytic functions. Earthline Journal of Mathematical Sciences, 4(2), 71-82. https://doi.org/10.34198/ejms.4120.7182
Wanas, A. K., & Majeed, A. H. (2017). Fuzzy differential subordinations for prestarlike functions of complex order and some applications. Far East Journal of Mathematical Sciences, 102(8), 1777-1788. https://doi.org/10.17654/MS102081777
Wanas, A. K., & Majeed, A. H. (2018). Fuzzy differential subordination properties of analytic functions involving generalized differential operator. Science International (Lahore), 30(2), 297-302.
Wanas, A. K., & Majeed, A. H. (2019). Fuzzy subordination results for fractional integral associated with generalized Mittag-Leffler function. Engineering Mathematics Letters, Article ID 10, 1-13. https://doi.org/10.34198/ejms.1219.143155
Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
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