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Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions

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15 juin 2023
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Alb Lupa¸s, A., & Oros, G. I. (2021). Differential subordination and superordination results using fractional integral of confluent hypergeometric function. Symmetry, 13(2), 327. https://doi.org/10.3390/sym13020327 Search in Google Scholar

Alb Lupa¸s, A., & Oros, G. I. (2021). New Applications of Salagean and Ruscheweyh Operators for Obtaining Fuzzy Differential Subordinations. Mathematics, 9(16), 2000. https://doi.org/10.3390/math9162000 Search in Google Scholar

Alb Lupa¸s, A., Oros, G. I., & Oros, G. (2012). A note on special strong differential subordinations using multiplier transformation. Journal of Computational Analysis and Applications, 14, 261-265. Search in Google Scholar

Alb Lupa¸s, A., Oros, G. I., & Oros, G. (2012). On special strong differential subordinations using Salaagean and Ruscheweyh operators. Journal of Computational Analysis and Applications, 14, 266-270. Search in Google Scholar

Al-Janaby, H. F., Ghanim, F., & Darus, M. (2020). On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz-Lerch Zeta Functions. Mathematics, 8(5), 845. https://doi.org/10.3390/math8050845 Search in Google Scholar

Al-Janaby, H. F., Ghanim, F., & Darus, M. (2019). Some geometric properties of integral operators proposed by Hurwitz-Lerch Zeta function. IOP Conf. Series: Journal of Physics: Conf. Series, 1212, 012010. https://doi.org/10.1088/1742-6596/1212/1/0120106/1212/1/012010 Search in Google Scholar

Aouf, M. K., El-Ashwah, R. M., & El-Deeb, S. M. (2010). Subordination results for certain subclasses of uniformly starlike and convex functions defined by convolution. European Journal of Pure and Applied Mathematics, 3(5), 903-917. Search in Google Scholar

Dziok, J., & Srivastava, H. M. (2003). Certain subclasses of analytic functions associated with the generalized hypergeometric function. Integral Transforms Spec. Funct., 14(1), 7-18. Search in Google Scholar

Ghanim, F., & Al-Janaby, H. F. (2019). A certain subclass of univalent meromorphic functions defined by a linear operator associated with the Hurwitz-Lerch zeta function. Rad Hrvatske akademije znanosti i umjetnosti. Matematicke znanosti, 23(538), 71-84. Search in Google Scholar

Ghanim, F., & Al-Janaby, H. F. (2020). Inclusion and Convolution Features of Univalent Meromorphic Functions Correlating with Mittag-Leffler Function. Filomat, 34, 2141-2150. Search in Google Scholar

Ghanim, F., & Al-Janaby, H. F. (2021). Some analytical merits of Kummer-type function associated with Mittag-Leffler parameters. Arab. J. Basic Appl. Sci., 28, 255-263. Search in Google Scholar

Ghanim, F., Al-Janaby, H. F., & Bazighifan, O. (2022). Geometric Properties of the Meromorphic Functions Class Through Special Functions Associated with a Linear Operator. Adv Cont Discr Mod., 17. https://doi.org/10.1186/s13662-022-03691-y Search in Google Scholar

Ghanim, F., Al-Shaqsi, K., Darus, M., & Al-Janaby, H. F. (2021). Subordination properties of meromorphic Kummer function correlated with Hurwitz-Lerch zeta-function. Mathematics, 9(2), 192. https://doi.org/10.3390/math9020192 Search in Google Scholar

Liu, J. L., & Srivastava, H. M. (2004). Certain properties of the Dziok-Srivastava operator. Appl. Math. Comput., 159, 485-493. Search in Google Scholar

Liu, J. L., & Srivastava, H. M. (2004). Classes of meromorphically multivalent functions associated with the generalized hypergeometric function. Math. Comput. Modelling, 39(1), 21-34. Search in Google Scholar

Miller, S. S., & Mocanu, P. T. (2000). Differential subordinations: theory and applications. Series in Pure and Applied Mathematics, 225, Marcel Dekker, New York. Search in Google Scholar

Mishra, A. K., Panigrahi, T., & Mishra, R. K. (2013). Subordination and inclusion theorems for subclasses of meromorphic functions with applications to electromagnetic cloaking. Mathematical and Computer Modelling, 57(Issues 3-4), 945-962. Search in Google Scholar

Mondal, S. R. (2022). Subordination Involving Regular Coulomb Wave Functions. symmetry, 14(5), 1007. https://doi.org/10.3390/sym14051007 Search in Google Scholar

Morais, J., & Zayed, H. M. (2021). Applications of differential subordination and superordination theorems to fluid mechanics involving a fractional higher-order integral operator. Alexandria Engineering Journal, 60(4), 3901-3914. Search in Google Scholar

El-Deeb, S., & Bulboaca, T. (2021). Differential subordination for subclasses of meromorphic functions connected with a convolution operator. Nonlinear Studies, 28, 1-14. Search in Google Scholar

Srivastava, H. M., & Attiya, A. A. (2007). An integral operator associated with the Hurwitz-Lerch Zeta function and differential subordination. Integral Transforms and Special Functions, 18(3), 207-216. Search in Google Scholar

Srivastava, H. M., & Choi, J. (2001). Series Associated with the Zeta and Related Functions. Kluwer Academic Publishers. Search in Google Scholar

Srivastava, H. M., Gaboury, S., & Ghanim, F. (2015). Partial sums of certain classes of meromorphic functions related to the Hurwitz-Lerch zeta function. Moroccan J. Pure Appl. Anal., 1, 1-13. Search in Google Scholar

Srivastava, H. M., Jankov, D., Pogany, T. K., & Saxena, R. K. (2011). Two-sided inequalities for the extended Hurwitz-Lerch Zeta function. Computers and Mathematics with Applications, 62(1), 516-522. Search in Google Scholar

Srivastava, H. M., Saxena, R. K., Pogany, T. K., & Saxena, R. (1980). Integral Transforms and Special Functions. J. London Math. Soc., 2(21), 287-290. Search in Google Scholar

Wilken, D. R., & Feng, J. (2011). A remark on convex and starlike functions. Appl. Math. Comput., 22(7), 487-506. Search in Google Scholar

Whittaker, E. T., & Watson, G. N. (1927). A Course on Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions, With an Account of the Principal Transcendental Functions (4th ed.). Cambridge University Press, Cambridge. Search in Google Scholar