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

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.

Received 23/09/2023,

Revised 22/12/2023,

Accepted 24/12/2023,

Published Online First 20/03/2024