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http://dx.doi.org/10.5831/HMJ.2017.39.3.331

A CERTAIN SUBCLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS ASSOCIATED WITH AN INTEGRAL OPERATOR  

Akgul, Arzu (Department of Mathematics Faculty of Arts and Sciences Kocaeli University, Umuttepe Campus)
Publication Information
Honam Mathematical Journal / v.39, no.3, 2017 , pp. 331-347 More about this Journal
Abstract
The aim of the present paper is to introduce a new subclass of meromorphic functions with positive coefficients defined by a certain integral operator and a necessary and sufficient condition for a function f to be in this class. We obtain coefficient inequality, meromorphically radii of close-to-convexity, starlikeness and convexity, convex linear combinations, Hadamard product and integral transformation for the functions f in this class.
Keywords
Meromorphic functions; Coefficient inequality; Meromorphically starlikeness; convexity and close-to convexity; Hamard product; Integral operator;
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1 E. Aqlan, J. M. Jhangiri and S. R. Kulkarni, Class of K-uniformly convex and starlike functions, Tamkang J. Math. 35(2004), 1-7.
2 W. G. Athsan and S. R. Kulkarni and J. Rajasthan, Subclass of meromorphic functions with positive coeffcients defined by Ruscheweyh derivate I, Acad. Phy.Sci., 6(2) (2007), 129-140.
3 S. K. Bajpai, A note on a class of meromorphic univalent functions, Rev. Roumanie Math. Pure Appl., 22(1977), 295-297.
4 J. Clunie, On meromorphic schilict functions, J. London Math.Soc.,34(1959), 115-216
5 P.L. Duren, Univalent Functions, Springer, New York, NY, USA, 1983.
6 F. Muge Sakar and H. Ozlem Guney, On meromorphic functions with fixed residue defined using convolution, Scientific Research and Essays, 8 (31) (2013), 1532-1539.
7 F. Muge Sakar and H. Ozlem Guney, On a new subclass of harmonic meromorphic functions with fixed residue [xi], TWMS Journal of Applied and Engineering Mathematics 4.1 (2014): 92.
8 R. M. Goel and N. S. Sohi, On a class of meromorphic functions, Glasnik Mathematicci, 17 (1981).
9 O. P. Junea and T. R. Reddy, Meromorphic starlike univalent functions with positive coeffcients, Ann. Univ. Mariae Curie Sklodowska, Sect. A, 39 (1985), 65-76.
10 I. B. Jung, Y. C. Kim, H. M. Srivastava, The Hardy spaces of analytic functions associated with certain one parameter families of integral operators, J. Math. Anal. Appl. 176 (1), (1993), 138-147.   DOI
11 A. Y. Lashin, On certain subclasses of meromorphic functions associated with certain integral operators, Comput. Math. Appl. 59 (1), (2010), 524-531.   DOI
12 J. E. Miller, Convex meromorphic mapping and related functions, Proc. Amer. Math. Soc. 25 (1970), 220-228   DOI
13 A. Akgul, A new subclass of meromorphic functions with positive and fixed second coeffcients defined by the Rafid-Operator, Commun. Fac.Sci. Univ. Ank. Series A1 Volume 66, Number 2, Pages 1-13 (2017)
14 A. Akgul, A subclass of meromorphic functions defined by a certain integral operator on Hilbert space, Creative Mathematics and Informatcs, Issue No. 2/2017
15 S. S. Mller and P. T. Mocanu, Differential Subordinations: Theory and Applications , vol. 225 of Monographs and Textbooks in Pure and applied Mathematics, Marcel Dekker, Newyork, NY, USA, 2000
16 T. Ram Reddy, R. B. Sharma and K. Saroja, A new subclass of meromorphic functions with positive coeffcients, Indian J. Pure Appl. Math., 44(1),(2013),29-26,   DOI
17 Ch. Pommerenke, On meromorphic starlike functions, Pac. J. Math. 13 (1963), 221-235   DOI
18 A. Akgul and S. Bulut, On a certain subclass of meromorphic functions defined by Hilbert space operator,Acta Universitatis Apulensis.(45) (2016),1-9
19 A. Akgul, A new subclass of meromorphic functions defined by Hilbert space operator, Honam Mathematical J. 38 (2016), No. 3, pp. 495506
20 W. C. Royster, Meromorphic starlike univalent functions, Trans. Amer. Math. Soc., 107 (1963), 300-308   DOI
21 H. M. Srivastava and S. Owa, Current topics in analytic function theory, World Scientific Publishing, New Jersey, 1992.