New Criteria for Meromorphic Bazilević Functions Associated with Linear Operator

Saba N.  Al-khafaji; Abdul Rahman S.  Juma; Mushtaq S.  Abdulhussain

doi:10.36371/port.2024.3.9

Authors

Saba N. Al-khafaji Department of Geology, Faculty of Science, University of Kufa, Iraq
Abdul Rahman S. Juma Department of Mathematics, College of Education for Pure Science, University of Anbar, Iraq
Mushtaq S. Abdulhussain Abdulhussain

Abstract References Downloads Cite Statistics Share Information

In this work, was proposed and characterized a new linear operator and having this linear operator establishing, we benefited from it to define class of meromorphic Bazilević functions in the punctured unit disk . What's more, we obtain some adequate conditions for functions having a place with this class.

Keywords:

Meromorphic, Bazilević functions, Linear Operator

[1] Airault H., Symmetric sums associated to the factorization of Grunsky coefficients, in Conference, Groups and Symmetries, Montreal, Canada, April (2007).

[2] Cho N. E. and Owa S. , Sufficient Condiions for meromorphic starlikeness and close-to-convexity of order α, IJMMS, 26(5), (2001) ,317-319.

[3] Cho, N.E. and I.H. Kim, Inclusion properties of certain classes of meromorphic functions associated with the generalized hypergeometric function, Applied Math, Comput., 187, (2007), 115-121.

[4] Duren P. L., Univalent Functions, Grundlehren der Mathematishen Wissenschaften 259, Springer-Verlag, 1983.

[5] Dziok, J. and H.M. Srivastava, Some subclasses of analytic functions with fixed argument of coefficients associated with the generalized hypergeometric function. Adv. Stud. Contemp. Math. Kyungshang, 5, (2002), 115-125.

[6] Dziok, J. and H.M. Srivastava, Certain subclasses of analytic functions associated with the generalized hypergeometric function. Trans. Spec. Funct., 14, (2003), 7-18.

[7] Goyal P. S and Prajapat J. K., A New class of meromorphic multivalent functions involving certain linear operator, Tamsui Oxford Journal of Math sciences , 25( 2), (2009) ,167-176.

[8] Grunsky H., Koeffizientenbedingungen fur schlicht abbildende meromorphe Funktionen, Math. Zeit., 45, (1939), 29-61.

[9] Jack I. S., Functions starlike and convex of order δ, J. Londan Math. Soc., 3(2),(1971), 469-474.

[10] Juma A. R. S. and Kulkarni S. R., On Univalent Functions with negative coefficients by using generalized Salagean operator, Filomat , 21(2), (2007), 173-184.

[11] Liu, J.L. and H.M. Srivastava, A linear operator and associated families of meromorphically multivalent functions. J. Math. Anal. Applied, 259, (2001), 566-581.

[12] Miller S. S. and Mocanu P. T., Differential subordinations and inequalities in the complex plane, J. Differ. Equations. , 67, (1987), 199-211.

[13] Salagean G. S., Subclasses of univalent functions, Lecture Notes in Math., Springer Verlag, Berlin, 10(13),(1983), 362-372.

PDF

Al-khafaji, S. N. ., Juma, A. R. S. ., & Abdulhussain, M. S. . (2024). New Criteria for Meromorphic Bazilević Functions Associated with Linear Operator. Journal Port Science Research, 7(3), 312–316. https://doi.org/10.36371/port.2024.3.9