Advanced SearchSearch Tips
On a Class of Meromorphic Functions Defined by Certain Linear Operators
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Kyungpook mathematical journal
  • Volume 49, Issue 4,  2009, pp.631-646
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2009.49.4.631
 Title & Authors
On a Class of Meromorphic Functions Defined by Certain Linear Operators
Kumar, Shanmugam Sivaprasad; Taneja, Harish Chander;
  PDF(new window)
In the present investigation, we introduce new classes of p-valent meromorphic functions defined by Liu-Srivastava linear operator and the multiplier transform and study their properties by using certain first order differential subordination and superordination.
hypergeometric functions;subordination;linear operator;multiplier transform;convolution;Differential superordinations;subordinant;dominant;
 Cited by
Subordination and inclusion theorems for subclasses of meromorphic functions with applications to electromagnetic cloaking, Mathematical and Computer Modelling, 2013, 57, 3-4, 945  crossref(new windwow)
M. K. Aouf and H. M. Hossen, New criteria for meromorphic p-valent starlike functions, Tsukuba J. Math., 17(2)(1993), 481-486. crossref(new window)

T. Bulboaca, A class of superordination-preserving integral operators, Indag. Math. (N. S.), 13(3)(2002), 301-311. crossref(new window)

T. Bulboaca, Classes of first-order differential superordinations, Demonstratio Math., 35(2)(2002), 287-292.

N. E. Cho and S. H. Lee, Certain subclasses of meromorphic functions defined by subordination. II, Kyungpook Math. J., 36(2)(1996), 283-291.

M. R. Ganigi and B. A. Uralegaddi, New criteria for meromorphic univalent functions, Bull. Math. Soc. Sci. Math. R. S. Roumanie (N. S.), 33(81)(1)(1989), 9-13.

J. -L. Liu, A linear operator and its applications on meromorphic p-valent functions, Bull. Inst. Math. Acad. Sinica, 31(1)(2003), 23-32.

J. -L. Liu and H. M. Srivastava, Classes of meromorphically multivalent functions associated with the generalized hypergeometric function, Math. Comput. Modelling, 39(1)(2004), 21-34. crossref(new window)

S. S. Miller and P. T. Mocanu, Differential subordinations, Monographs and Textbooks in Pure and Applied Mathematics, vol. 225, Marcel Dekker Inc., New York, 2000.

S. S. Miller and P. T. Mocanu, Subordinants of differential superordinations, Complex Var. Theory Appl., 48(10)(2003), 815-826. crossref(new window)

J. Patel and P. Sahoo, On certain subclasses of meromorphically p-valent functions, Bull. Calcutta Math. Soc., 93(6)(2001), 455-464.

V. Ravichandran, S. Sivaprasad Kumar, and K. G. Subramanian, Convolution conditions for spirallikeness and convex spirallikeness of certain meromorphic p-valent functions, JIPAM. J. Inequal. Pure Appl. Math., 5(1)(2004), Article 11, 7 pp. (electronic).

B. A. Uralegaddi and C. Somanatha, New criteria for meromorphic starlike univalent functions, Bull. Austral. Math. Soc., 43(1)(1991), 137-140. crossref(new window)

D. Yang, On new subclasses of meromorphic p-valent functions, J. Math. Res. Exposition, 15(1)(1995), 7-13.

D. Yang, On a class of meromorphic starlike multivalent functions, Bull. Inst. Math. Acad. Sinica, 24(2)(1996), 151-157.