Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic Functions

Authors

  • Suha J. Hammad Department of Mathematics, College of Education for Pure Sciences, University of Tikrit, Tikrit, Iraq https://orcid.org/0009-0000-8836-7162
  • Abdul Rahman S. Juma Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq.
  • Hassan H. Ebrahim Department of Mathematics, College of Computer Science and Mathematics, University of Tikrit, Tikrit, Iraq.

DOI:

https://doi.org/10.21123/bsj.2024.9619

Keywords:

Admissible Functions, Analytic Function, Convolution (or Hadamard product), Meromorphic Functions, Struve Function, 〖 3〗^rd- Order Differential Subordination

Abstract

 

Previously, many works dealt with the study of the order differential subordination and shortly after that other studies dealt with the  order differential subordination in the unit disc. Recently the  order differential subordination was presented by Antonino and Miller (2011). This paper looks at a considerably broader class of order differential inequalities and subordination.  The authors define the criteria on an admissible class of operators, implying that order differentiale subordination exists. Meromorphic in  is a function that is holomorphic in domain  except for poles. If   it simply states the function is meromorphic. Meromorphic functions in  are those that may be represented as a quotient of two entire functions.  Struve functions have applications in surface wave and water wave issues, unstable aerodynamics, optical direction and resistive MHD instability theory. Struve functions have lately appeared in a number of particle systems. The idea of differential subordination in  is a generalization of differential inequality in , and it was initiated in 1981 by the works of  Miller, Mocanu and Reade. In this artical, appropriate classes of admissible functions are examined and the properties of order differential subordination are established by using the operator  of meromorphic multivalent functions connected with generalized Struve function. In this study, there is a need to present many concepts including subordination, superordination, the dominant, the best dominant, convolution (or Hadamard product), meromorphic multivalent function, the Struve function addition to the concept of shifted factorial (or Pochhammer symbol) and admissible functions.

 

References

Cotîrlă L-I, Juma ARSJA. Properties of differential subordination and superordination for multivalent functions associated with the convolution operators. 2023;12(2):169. https://doi.org/10.3390/axioms12020169.

Çetinkaya A, Cotîrlă L-I. Briot–Bouquet differential subordinations for analytic functions involving the Struve function. Fractal and Fractional. 2022;6(10):540. https://doi.org/10.3390/fractalfract6100540.

Farzana HA, Jeyaraman MP, Bulboaca T. On Certain Subordination Properties of a Linear Operator. J Fract Calc. 2021; 12(2): 148-62. .

Toklu EJHJoM, Statistics. Radii of starlikeness and convexity of generalized Struve functions. 2020:1-18.: https://doi.org/10.15672/hujms.518154 .

Shehab NH, Juma ARS. Third Order Differential Subordination for Analytic Functions Involving Convolution Operator. Baghdad Sci. J. 2022;19(3):0581-592. https://doi.org/10.21123/bsj.2022.19.3.0581.

Muhey UD, Srivastava HM, Mohsan RJHJoM, Statistics. Univalence of certain integral operators involving generalized Struve functions. 2018; 47(4): 821-33.

Ponnusamy S, Juneja O P. Third-order differential inequalities in the complex plane. Current Topics in Analytic Function Theory. 1992: 274-90. https://doi.org/10.1142/9789814355896_0023.

Tang H, Srivastava HM, Li S-H, Ma L-N, editors. Third-order differential subordination and superordination results for meromorphically multivalent functions associated with the Liu-Srivastava operator. Abstract and Applied Analysis; 2014: Hindawi. https://doi.org/10.1155/2014/792175.

Al-Khafaji TKM. Strong Subordination for E-valent Functions Involving the Operator Generalized Srivastava-Attiya. Baghdad Sci J. 2020; 17(2): 0509-514. https://doi.org/10.21123/bsj.2020.17.2.0509

Seoudy T. Second order differential subordination and superordination of Liu-Srivastava operator on meromorphic functions. Afr Mat. 2021; 32(7-8): 1399-408.https://doi.org/10.1007/s13370-021-00907-4 .

Downloads

Published

2024-10-01

Issue

Section

article

How to Cite

1.
Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic Functions. Baghdad Sci.J [Internet]. 2024 Oct. 1 [cited 2024 Oct. 9];21(10):3214. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/9619

Similar Articles

You may also start an advanced similarity search for this article.