Differential Sandwich Theorem for Multivalent Meromorphic Functions associated with the Liu-Srivastava Operator
![]() |
Ali, Rosihan M.
(School of Mathematical Sciences, Universiti Sains Malaysia)
Chandrashekar, R. (School of Mathematical Sciences, Universiti Sains Malaysia) Lee, See-Keong (School of Mathematical Sciences, Universiti Sains Malaysia) Swaminathan, A. (Department of Mathematics, Indian Institute of Technology) Ravichandran, V. (Department of Mathematics, University of Delhi) |
1 | J-L. Liu, A linear operator and its applications on meromorphic p-valent functions, Bull. Inst. Math. Acad. Sinica, 31(2003), 23-32. |
2 | J-L. Liu and S. Owa, On certain meromorphic p-valent functions, Taiwanese J. Math., 2(1998), 107-110. DOI |
3 | J-L. Liu and H. M. Srivastava, A linear operator and associated families of meromor- phically multivalent functions, J. Math. Anal. Appl., 259(2001), 566-581. DOI ScienceOn |
4 | J-L. Liu and H. M. Srivastava, Classes of meromorphically multivalent functions associated with the generalized hypergeometric function, Math. Comput. Modelling, 39(2004), 21-34. DOI ScienceOn |
5 | J-L. Liu and H. M. Srivastava, Subclasses of meromorphically multivalent functions associated with a certain linear operator, Math. Comput. Modelling, 39(2004), 35-44. DOI ScienceOn |
6 | S. S. Miller and P. T. Mocanu, Differential Subordinations, Dekker, New York, 2000. |
7 | S. S. Miller and P. T. Mocanu, Subordinants of differential superordinations, Complex Variables Theory Appl., 48(2003), 815-826. DOI ScienceOn |
8 | S. Owa and H. M. Srivastava, Univalent and starlike generalized hypergeometric functions, Canad. J. Math., 39(1987), 1057-1077. DOI |
9 | R. K. Raina and H. M. Srivastava, A new class of meromorphically multivalent func- tions with applications to generalized hypergeometric functions, Math. Comput. Mod- elling, 43(2006), 350-356. DOI ScienceOn |
10 | H. M. Srivastava and J. Patel, Some subclasses of multivalent functions involving a certain linear operator, J. Math. Anal. Appl., 310(2005), 209-228. DOI ScienceOn |
11 | H. M. Srivastava, D.-G. Yang and N-E. Xu, Subordinations for multivalent analytic functions associated with the Dziok-Srivastava operator, Integral Transforms Spec. Funct., 20(2009), 581-606. DOI ScienceOn |
12 | R. M. Ali and V. Ravichandran, Differential subordination for meromorphic functions defined by a linear operator, J. Anal. Appl. 2(2004), 149-158. |
13 | R. M. Ali, V. Ravichandran and N. Seenivasagan, Differential subordination and superordination of analytic functions defined by the Dziok-Srivastava linear operator, Journal of Franklin Institute, to appear. |
14 | R. M. Ali, V. Ravichandran and N. Seenivasagan, Differential subordination and superordination of analytic functions dened by the multiplier transformation, Math. Inequal. Appl., 12(2009), 123-139. |
15 | M. K. Aouf and H. M. Hossen, New criteria for meromorphic p-valent starlike func- tions, Tsukuba J. Math., 17(1993), 481-486. DOI |
16 | R. M. Ali, V. Ravichandran and N. Seenivasagan, Differential subordination and su-perordination for meromorphic functions dened by certain multiplier transformation, Bull. Malaysian Math. Sci. Soc., 33(2010), 311-324. |
17 | R. M. Ali, V. Ravichandran and N. Seenivasagan, Subordination and superordination on Schwarzian derivatives, J. Inequal. Appl., 2008, Article ID 712328, 1-18. |
18 | R. M. Ali, V. Ravichandran and N. Seenivasagan, Subordination and superordina- tion of the Liu-Srivastava linear operator on meromorphic functions, Bull. Malaysian Math. Sci. Soc., 31(2008), 193-207. |
19 | N. E. Cho and I. H. Kim, Inclusion properties of certain classes of meromorphic func- tions associated with the generalized hypergeometric function, Appl. Math. Comput., 187(2007), 115-121. DOI ScienceOn |
20 | J. Dziok and H. M. Srivastava, Classes of analytic functions associated with the gen- eralized hypergeometric function, Appl. Math. Comput., 103(1999), 1-13. DOI |
21 | Y. C. Kim and H. M. Srivastava, Inequalities involving certain families of integral and convolution operators, Math. Inequal. Appl., 7(2004), 227-234. |
22 | D. Yang, Certain convolution operators for meromorphic functions, Southeast Asian Bull. Math., 25(2001), 175-186. DOI |
23 | R. Aghalary, R. M. Ali, S. B. Joshi and V. Ravichandran, Inequalities for analytic functions defined by certain linear operator, Internat. J. Math. Sci., 4(2005), 267-274. DOI |
24 | R. Aghalary, S. B. Joshi, R. N. Mohapatra and V. Ravichandran, Subordinations for analytic functions defined by the Dziok-Srivastava linear operator, Appl. Math. Comput., 187(2007), 13-19. DOI ScienceOn |
25 | R. M. Ali, R. Chandrashekar, S. K. Lee, A. Swaminathan and V. Ravichandran, Differential sandwich theorem for multivalent analytic functions associated with the Dziok-Srivastava operator, Tamsui Oxf. J. Math. Sc., to appear. |
26 | B. A. Uralegaddi and C. Somanatha, New criteria for meromorphic starlike univalent functions, Bull. Austral. Math. Soc., 43(1991), 137-140. DOI |
27 | D. Yang, On a class of meromorphic starlike multivalent functions, Bull. Inst. Math. Acad. Sinica, 24(1996), 151-157. |
![]() |