Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic Functions
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 look...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad, College of Science for Women
2024-10-01
|
| Series: | مجلة بغداد للعلوم |
| Subjects: | |
| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/9619 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849416495187099648 |
|---|---|
| author | Suha J. Hammad Abdul Rahman S. Juma Hassan H. Ebrahim |
| author_facet | Suha J. Hammad Abdul Rahman S. Juma Hassan H. Ebrahim |
| author_sort | Suha J. Hammad |
| collection | DOAJ |
| description |
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.
|
| format | Article |
| id | doaj-art-2aa0ad9ed7bd4e169033630d63172f9a |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-2aa0ad9ed7bd4e169033630d63172f9a2025-08-20T03:33:10ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862024-10-01211010.21123/bsj.2024.9619Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic FunctionsSuha J. Hammad 0https://orcid.org/0009-0000-8836-7162Abdul Rahman S. Juma 1Hassan H. Ebrahim 2Department of Mathematics, College of Education for Pure Sciences, University of Tikrit, Tikrit, IraqDepartment of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq.Department of Mathematics, College of Computer Science and Mathematics, University of Tikrit, Tikrit, Iraq. 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. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/9619Admissible Functions, Analytic Function, Convolution (or Hadamard product), Meromorphic Functions, Struve Function, 〖 3〗^rd- Order Differential Subordination |
| spellingShingle | Suha J. Hammad Abdul Rahman S. Juma Hassan H. Ebrahim Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic Functions مجلة بغداد للعلوم Admissible Functions, Analytic Function, Convolution (or Hadamard product), Meromorphic Functions, Struve Function, 〖 3〗^rd- Order Differential Subordination |
| title | Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic Functions |
| title_full | Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic Functions |
| title_fullStr | Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic Functions |
| title_full_unstemmed | Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic Functions |
| title_short | Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic Functions |
| title_sort | third order differential subordination for generalized struve function associated with meromorphic functions |
| topic | Admissible Functions, Analytic Function, Convolution (or Hadamard product), Meromorphic Functions, Struve Function, 〖 3〗^rd- Order Differential Subordination |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/9619 |
| work_keys_str_mv | AT suhajhammad thirdorderdifferentialsubordinationforgeneralizedstruvefunctionassociatedwithmeromorphicfunctions AT abdulrahmansjuma thirdorderdifferentialsubordinationforgeneralizedstruvefunctionassociatedwithmeromorphicfunctions AT hassanhebrahim thirdorderdifferentialsubordinationforgeneralizedstruvefunctionassociatedwithmeromorphicfunctions |