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Open Access Research Article

Several properties on strong differential subordination and superordination attached new generalized operator for analytic functions

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pp. 355–362Vol. 28Issue 1February 2025DOI: 10.47974/JIM-2178XML
Received:
06 Nov 2024
Published Online:
13 Feb 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2178
Pages:
355–362

Abstract

We are accomplish the two new classes related to analytic function within strong differential superordination and subordination with new generalized operator and we deduce several results for these classes. 

Keywords

Subject Classifications

30C45

References

[1] A. A. Lupaş, “On special strong differential subordinations using multiplier transformation,” Appl. Math. Lett., vol. 25, no. 3, pp. 624–630, Oct. (2011). [Online]. Available: https://doi.org/10.1016/j.aml.2011.09.074.
[2] A. A. Lupa, “A note on special strong differential superordinations using a multiplier transformation and Ruscheweyh derivative,” Int. J. Open Problems Complex Anal., vol. 5, no. 1, pp. 33–47, Mar. (2013). [Online]. Available: https://doi.org/10.12816/0005997.
[3] F. M. Al-Oboudi, “On univalent functions defined by generalized Sălăgean operator,” Int. J. Math. Sci., vol. 27, pp. 1429–1436 (2004). [Online]. Available: https://doi.org/10.1155/S0161171204108090.
[4] N.-E. Cho and T.-H. Kim, “Multiplier transformations and strongly close-to-convex functions,” Bull. Korean Math. Soc., vol. 40, no. 3, pp. 399–410, Aug. (2003). [Online]. Available: https://doi.org/10.4134/bkms.2003.40.3.399.
[5] N. E. Cho and H. M. Srivastava, “Argument estimates of certain analytic functions defined by a class of multiplier transformations,” Math. Comput. Modell., vol. 37, no. 1–2, pp. 39–49, Jan. (2003). [Online]. Available: https://doi.org/10.1016/s0895-7177(03)80004-3.
[6] S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, vol. 225, Marcel Dekker Inc., New York, Basel (2000). [Online]. Available: https://doi.org/10.1201/9781482289817.
[7] G. I. Oros, “Strong differential superordination,” Acta Universitatis Apulensis, vol. 19, pp. 101–106 (2009).
[8] G. St. Sălăgean, “Subclasses of univalent functions,” Lect. Notes Math., vol. 1013, pp. 362–372, Jan. (1983). [Online]. Available: https://doi.org/10.1007/bfb0066543.
[9] S. Swamy, “Inclusion properties of certain subclasses of analytic functions,” Int. Math. Forum, vol. 7, no. 36, pp. 1751–1760 (2012). [Online]. Available: https://www.m-hikari.com/imf/imf-2012/33-36-2012/swamyIMF33-36-2012.pdf.
[10] D. E. Abdulrasool and A. N. Alkiffai, “Population growth equation by fuzzy common integral transforms,” J. Interdiscip. Math., vol. 25, no. 6, pp. 1909–1918 (2022). [Online]. Available: https://doi.org/10.1080/09720502.2022.2095960.
[11] S. A. Mehdi, E. A. Kuffi, and J. A. Jasim, “Solving ordinary differential equations using a new general complex integral transform,” J. Interdiscip. Math., vol. 25, no. 6, pp. 1919–1932 (2022). [Online]. Available: https://doi.org/10.1080/09720502.2022.2089381.
[12] S. A. Mehdi and J. A. Jasim, “Solving the partial differential equations by using SEJI integral transform,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1123–1132 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1611.
[13] N. S. Mohammed and E. A. Kuffi, “The complex integral transform complex Sadik transform of error function,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1145–1157 (2023). [Online]. Available: https://doi.org/10.47974/JIM-1613.
[14] A. H. Alwan, “Small intersection graph of subsemimodules of a semimodule,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2022, no. 1, pp. 15–22 (2022).
[15] S. Ediz, M. Cancan, and M. R. Farahani, “Eccentric connectivity and connective eccentricity indices of generalized Petersen graphs,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2021, no. 1, pp. 1–6 (2021).
[16] R. Ponraj, S. Prabhu, and M. Sivakumar, “Pair mean cordial labeling of total graph of some graphs and prism-related graphs,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2024, no. 2, pp. 181–192 (2024).
[17] F. O. Oduol and I. O. Okoth, “Counting vertices among all noncrossing trees by levels and degrees,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2024, no. 2, pp. 193–212 (2024).
[18] K. Mihsin, “Certain properties on univalent functions related to new linear and integral operators,” Commun. Appl. Nonlinear Anal., vol. 31, no. 3s, pp. 186–196, Jun. (2024). [Online]. Available: https://doi.org/10.52783/cana.v31.758.
[19] M. R. Farahani, S. Jafari, S. A. Mohiuddine, and M. Cancan, “Intuitionistic fuzzy stability of generalized additive set-valued functional equation via fixed point method,” Math. Statist. Eng. Appl., pp. 142–154 (2022). [Online]. Available: https://doi.org/10.17762/msea.v71i3s3.355.
[20] R. Dhavaseelan, S. Jafari, M. R. Farahani, and S. Broumi, “On single-valued co-neutrosophic graphs,” Neutrosophic Sets Syst., vol. 22, pp. 180–187 (2018). [Online]. Available: https://doi.org/10.5281/zenodo.2159886.
[21] M. R. Farahani, J. E. Nápoles, M. Cancan, S. Jafari, and C. Park, “Fuzzy stability in the sense of Hyers-Ulam-Rassias of a functional equation on quadratic forms,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1355–1365, Jan. (2023). [Online]. Available: https://doi.org/10.47974/jim-1633.

 

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