New Sandwich-Type Results of Meromorphic Multivalent Functions Defined by Rafid operator

Authors

  • Arkan Firas Abbas Department of Mathematics, College of Sciencen, University of Al-Qadisiyah, Diwaniyah, Iraq
  • Wagges Galib Atshan Department of Mathematics, College of Sciencen, University of Al-Qadisiyah, Diwaniyah, Iraq

DOI:

https://doi.org/10.29304/jqcsm.2023.15.41351

Keywords:

Analytic Function, subordination, superordination, meromorphic p-valent

Abstract

this study aims to ascertain the outcomes differantial subordnation and superordnation for meromorphic p-valent functions given by the Rafid operetor within a punctared open unit disc. We acquire multiple results that bear a resemblance to sandwiches.

Downloads

Download data is not yet available.

References

R. Abd Al-Sajjad and W. G. Atshan, “Certain analytic function sandwich theorems involving operator defined by Mittag-Leffler function, ”AIP Conference Proceedings, 2398(2022), 060065, 1-8.

S. A. Al-Ameedee, W. G. Atshan and F. A. Al-Maamori , “On sandwich results of univalent functions defined by a linear operator, ”Journal of Interdisciplinary Mathematics, 23(4)(2020), 803-809.

S. A. Al-Ameedee, W. G. Atshan and F. A. Al-Maamori, “Some new results of differential subordinations for higher- order derivatives of multivalent functions, ”Journal of Physics: Conference Series, 1804 (2021) 012111, 1-11.

R. M. Ali, V. Ravichandran, M. H. Khan and K. G. Subramanian, “Differential sandwich theorems for certain analytic functions, ”Far East J. Math. Sci., 15(2004), 87– 94.

W. G. Atshan and A. A. R. Ali, “On sandwich theorems results for certain univalent functions defined by generalized operators, ”Iraqi Journal of Science, 62(7) (2021), pp: 2376-2383.

W. G. Atshan and A. A. R. Ali, “On some sandwich theorems of analytic functions involving Noor –Sâlâgean operator, ”Advances in Mathematics: Scientific Journal, 9(10)(2020), 8455-8467.

W. G. Atshan and R. A. Hadi, “Some differential subordination and superordination results of p-valent functions defined by differential operator, ”Journal of Physics: Conference Series, 1664 (2020) 012043, 1-15.

W. G. Atshan and S. R. Kulkarni, “On application of differential subordination for certain subclass of meromorphically p-valent functions with positive coefficients defined by linear operator, ”Journal of Inequalities in Pure and Applied Mathematics, 10(2)(2009), Article 53, 11 pp.

W. G. Atshan, A. H. Battor and A. F. Abaas, “Some sandwich theorems for meromorphic univalent functions defined by new integral operator, ”Journal of Interdisciplinary Mathematics, 24(3) (2021), 579-591.

T. Bulboacã, “Classes of first – order differential superordinations, ”Demonstration Math., 35(2) (2002), 287-292 .

T. Bulboaca, “Differential Subordinations and Superordinations, Recent Results, ”House of Scientific Book Publ., Cluj-Napoca, (2005).

S. P. Goyal, P. Goswami and H. Silverman, “Subordination and superordination results for a class of analytic multivalent functions, ”Int. J. Math. Math. Sci. (2008), Article ID 561638, 1– 12.

I. A. Kadum, W. G. Atshan and A. T. Hameed, “Sandwich theorems for a new class of complete homogeneous symmetric functions by using cyclic operator, ”Symmetry,14(10)(2022),2223,1-16.

B. K. Mihsin, W. G. Atshan and S. S. Alhily, “On new sandwich results of univalent functions defined by a linear operator, ”Iraqi Journal of Science, 63(12) (2022), pp: 5467-5475.

S. S. Miller and P. T. Mocanu, “Differential subordinations: Theory and Applications, ”Series on Monographs and Text Books in Pure and Applied Mathematics, 225, Marcel Dekker, New York and Basel, (2000).

S. S. Miller and P. T. Mocanu, “Subordinants of differential superordinations, ”Complex Var. Theory Appl., 48(2003), 815 − 826.

T. Rosy, S. Varma, “On a subclass of meromorphic functions defined by Hilbert space operator, ”Geometry, 2013, Article ID 671826, 4 pages.

M. A. Sabri, W. G. Atshan and E. El-Seidy, “On sandwich-type results for a subclass of certain univalent functions using a new Hadamard product operator, ”Symmetry, 14(5)(2022),931,1-11.

S. A. Saleh, A. H. El-Qadeem, and M. A. Mamon, “Inclusion relationships and some integral-preserving properties of certain classes of meromorphic p-valent functions,” Acta Universitatis Apulensis, vol. 59 (2019), pp. 63–76.

F. O. Salman and W. G. Atshan, “New results on integral operator for a subclass of analytic functions using differential subordinations and superordinations, ”Symmetry, 15(2)(2023), 1-10.

N. Seenivasagan, “Differential Subordination and Superordination for Analytic and Meromorphic Functions Defined by Linear Operator, ”Doctoral Dissertation, University Sains Malaysia, (2007).

T. N. Shanmugam, V. Ravichandran and S. Sivasubramanian, “Differential sandwich theorems for subclasses of analytic functions, ”Aust. J. Math. Anal . Appl., 3 (2006), Article 8, 1– 11.

T. N. Shanmugam, S. Shivasubramanian and H. Silverman, “On sandwich theorems for some classes of analytic functions, ”Int. J. Math. Math. Sci. , (2006), Article ID 29684, 1 − 13.

S. D. Theyab, W. G. Atshan, A. A. Lupas and H. K. Abdullah, “New results on higher – order differential subordination and superordination for univalent analytic functions using a new operator, ”Symmetry, 14(8)(2022), 1576, 1-12.

S. D. Theyab, W. G. Atshan and H. K. Abdullah, “On some sandwich results of univalent functions related by differential operator, ”Iraqi Journal of Science, 63(11)(2022), pp: 4928-4936.

Downloads

Published

2023-12-30

How to Cite

Firas Abbas, A., & Galib Atshan , W. (2023). New Sandwich-Type Results of Meromorphic Multivalent Functions Defined by Rafid operator. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(4), math. 21–29. https://doi.org/10.29304/jqcsm.2023.15.41351

Issue

Section

Math Articles