# On inclusion relationships of certain subclasses of meromorphic functions involving integral operator

Annales UMCS, Mathematica (2012)

- Volume: 66, Issue: 1, page 63-72
- ISSN: 2083-7402

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topAli Muhammad. "On inclusion relationships of certain subclasses of meromorphic functions involving integral operator." Annales UMCS, Mathematica 66.1 (2012): 63-72. <http://eudml.org/doc/267573>.

@article{AliMuhammad2012,

abstract = {In this paper, we introduce some subclasses of meromorphic functions in the punctured unit disc. Several inclusion relationships and some other interesting properties of these classes are discussed.},

author = {Ali Muhammad},

journal = {Annales UMCS, Mathematica},

keywords = {Meromorphic functions; functions with bounded boundary and bounded radius rotation; quasi-convex functions; close-to-convex functions; generalized hypergeometric functions; functions with positive real part; Hadamard product (or convolution); linear operators; meromorphic functions},

language = {eng},

number = {1},

pages = {63-72},

title = {On inclusion relationships of certain subclasses of meromorphic functions involving integral operator},

url = {http://eudml.org/doc/267573},

volume = {66},

year = {2012},

}

TY - JOUR

AU - Ali Muhammad

TI - On inclusion relationships of certain subclasses of meromorphic functions involving integral operator

JO - Annales UMCS, Mathematica

PY - 2012

VL - 66

IS - 1

SP - 63

EP - 72

AB - In this paper, we introduce some subclasses of meromorphic functions in the punctured unit disc. Several inclusion relationships and some other interesting properties of these classes are discussed.

LA - eng

KW - Meromorphic functions; functions with bounded boundary and bounded radius rotation; quasi-convex functions; close-to-convex functions; generalized hypergeometric functions; functions with positive real part; Hadamard product (or convolution); linear operators; meromorphic functions

UR - http://eudml.org/doc/267573

ER -

## References

top- Carlson, B. C., Shaeffer, B. D., Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (1984), no. 4, 737-745.[Crossref] Zbl0567.30009
- Cho, N. E., Noor, K. I., Inclusion properties for certain classes of meromorphic functions associated with Choi-Saigo-Srivastava operator, J. Math. Anal. Appl. 320 (2006), no. 2, 779-786. Zbl1102.30013
- Cho, N. E., Kwon, O. S. and Srivastava, H. M., Inclusion relationships for certain subclasses of meromorphic functions associated with a family of multiflier transformations, Integral Transforms Spec. Funct. 16 (2005), no. 8, 647-659. Zbl1096.30008
- Dziok, J., Srivastava, H. M., Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999), no. 1, 1-13.[WoS] Zbl0937.30010
- Hohlov, E. Y., Operators and operations in the class of univalent functions, Izv. Vyssh. Uchebn. Zaved. Mat., (1978), no. 10 (197), 83-89 (in Russian).
- Jung, I. B., Kim, Y. C. and Srivastava, H. M., The Hardy space of analytic functions associated with certain one-parameter families of integral operators, J. Math. Anal. Appl. 176 (1993), no. 1, 138-147. Zbl0774.30008
- Kumar, V., Shukla, S. L., Certain integrals for classes of p-valent meromorphic functions, Bull. Austral. Math. Soc. 25 (1982), no. 1, 85-97.[Crossref] Zbl0466.30015
- Miller, S. S., Differential inequalities and Carathéodory functions, Bull. Amer. Math. Soc. 81 (1975), 79-81. Zbl0302.30003
- Noor, K. I., On certain classes of meromorphic functions involving integral operators, JIPAM. J. Inequal. Pure Appl. Math. 7 (2006), no. 4, Article 138, 8 pp. (electronic). Zbl1131.30316
- Noor, K. I., On subclasses of close-to-convex functions of higher order, Internat. J. Math. Math. Sci. 15 (1992), no. 2, 279-290.[Crossref] Zbl0758.30010
- Noor, K. I., On new classes of integral operators, J. Nat. Geom. 16 (1999), no. 1-2, 71-80. Zbl0942.30007
- Noor, K. I., On close-to-convex and related functions, Ph. D. Thesis, University of Wales, Swansea, U. K., 1972.
- Noor, K. I., On quasiconvex functions and related topics, Internat. J. Math. Math. Sci. 10 (1987), no. 2, 241-258.[Crossref] Zbl0637.30012
- Noor, K. I., Noor, M. A., On integral operators, J. Math. Anal. Appl. 238 (1999), no. 2, 341-352. Zbl0934.30007
- Noor, K. I., Thomas, D. K., Quasiconvex univalent functions, Internat. J. Math. Math. Sci. 3 (1980), no. 2, 255-266.[Crossref] Zbl0498.30017
- Padmanabhan, K., Parvatham, R., Properties of a class of functions with bounded boundary rotation, Ann. Polon. Math. 31 (1975/76), no. 3, 311-323. Zbl0337.30009
- Pinchuk, B., Functions of bounded boundary rotation, Israel J. Math. 10 (1971), 6-16.[Crossref] Zbl0224.30024
- Ruscheweyh, S., New criteria for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109-115.[Crossref] Zbl0303.30006
- Selvaraj, C., Karthikeyan, K. R., Some inclusion relationships for certain subclasses of meromorphic functions associated with a family of integral operators, Acta Math. Univ. Comenian. (N. S.) 78 (2009), no. 2, 245-254. Zbl1199.30097
- Yuan, S.-M., Liu, Z.-M. and Srivastava, H. M., Some inclusion relationships and integral-preserving properties of certain subclasses of meromorphic functions associated with a family of integral operators, J. Math. Anal. Appl. 337 (2008), no.1, 505-515.[WoS] Zbl1129.30020

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