Sufficient conditions for certain subclasses of meromorphic p-valent functions
DOI:
https://doi.org/10.5269/bspm.v33i2.21919Keywords:
Meromorphic multivalent functions, meromorphic starlike functions, meromorphic convex functions, meromorphic close-to-convex functionsAbstract
In the present paper, we obtain certain su¢ cient conditions for meromorphic p-valent functions. Several corollaries and consequences of the main results are also considered.
References
1. M. K. Aouf, A generalization of meromorphic multivalent functions with positive coefficients, Math. Japon., 35 (1990), 609-614.
2. M. K. Aouf, On a class of meromorphic multivalent functions with positive coefficients, Math. Japon., 35 (1990), 603-608.
3. M.K. Aouf, On a certain class of meromorphic univalent functions with positive coefficients, Rend. Mat. Appl. (7) 11 (1991), 209- 219.
4. M. K. Aouf, Certain classes of meromorphic multivalent functions with positive coefficients, Math. Comput. Modelling 47(2008), 328-340.
5. S.K. Bajpai, A note on a class of meromorphic univalent functions, Rev. Roumaine Math. Pures Appl. 22 (1977), 295- 297.
6. N.E. Cho, S.H. Lee and S. Owa, A class of meromorphic univalent functions with positive coefficients, Kobe J. Math. 4 (1987), 43- 50.
7. J. Clunie, On meromorphic schlicht functions, J. London Math. Soc. 34 (1959), 215-216.
8. B.A. Frasin and M. Darus, On certain meromorphic functions with positive coefficients, Southeast Asian Bulletin of Mathematics 30 (2006), 1-8.
9. I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. (2)3, (1971), 469-474.
10. R.M. Goel and N.S. Sohi, On a class of meromorphic functions, Glas. Mat. Ser.III 17(37) (1982), 19-28.
11. S. P. Goyal and J. K. Prajapat, A new class of meromorphic multivalent functions Involving certain linear operator, Tamsui Oxford Journal of Mathematical Sciences 25(2) (2009) 167-176.
12. J. Miller, Convex meromorphic mappings and related functions, Proc. Amer. Math. Soc. 25 (1970), 220-228.
13. S.S. Miller and P.T. Mocanu, Differential subordinations and inequalities in the complex plane, J. Differ. Equations, 67(1987), 199-211.
14. M.L. Mogra , T.R. Reddy and O.P. Juneja, Meromorphic univalent functions with positive coefficients, Bull. Austral. Math. Soc. 32 (1985), 161-176.
15. S. Owa, H. E. Darwish and M. K. Aouf, Meromorphic multivalent functions with positive and fixed second coefficients, Math. Japon., 46(2) (1997), 231-236.
16. CH. Pommerenke, On meromorphic starlike functions, Pacific J. Math.13 (1963), 221-235.
17. W.C. Royster, Meromorphic starlike multivalent functions, Trans. Amer. Math.Soc.107 (1963), 300-308.
18. H.M. Srivastava, H.M. Hossen and M.K. Aouf, A unified presentation of some classes of meromorphically multivalent functions, Computer and Mathematics with Applications 38(1999), 63-70.
19. B.A. Uralegaddi and M.D. Ganigi, A certain class of meromorphic univalent functions with positive coefficients, Pure Appl. Math. Sci. 26 (1987), 75-81.
20. B.A. Uralegaddi and C. Somantha, New criteria for meromorphic starlike univalent functions, Bull. Austral. Math. Soc. 43 (1991), 137-140.
21. Z. Wang, Y. Sun and Z. Zhang, Certain classes of meromorphic multivalent functions, Computers and Mathematics with Applications 58 (2009) 1408-1417.
2. M. K. Aouf, On a class of meromorphic multivalent functions with positive coefficients, Math. Japon., 35 (1990), 603-608.
3. M.K. Aouf, On a certain class of meromorphic univalent functions with positive coefficients, Rend. Mat. Appl. (7) 11 (1991), 209- 219.
4. M. K. Aouf, Certain classes of meromorphic multivalent functions with positive coefficients, Math. Comput. Modelling 47(2008), 328-340.
5. S.K. Bajpai, A note on a class of meromorphic univalent functions, Rev. Roumaine Math. Pures Appl. 22 (1977), 295- 297.
6. N.E. Cho, S.H. Lee and S. Owa, A class of meromorphic univalent functions with positive coefficients, Kobe J. Math. 4 (1987), 43- 50.
7. J. Clunie, On meromorphic schlicht functions, J. London Math. Soc. 34 (1959), 215-216.
8. B.A. Frasin and M. Darus, On certain meromorphic functions with positive coefficients, Southeast Asian Bulletin of Mathematics 30 (2006), 1-8.
9. I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. (2)3, (1971), 469-474.
10. R.M. Goel and N.S. Sohi, On a class of meromorphic functions, Glas. Mat. Ser.III 17(37) (1982), 19-28.
11. S. P. Goyal and J. K. Prajapat, A new class of meromorphic multivalent functions Involving certain linear operator, Tamsui Oxford Journal of Mathematical Sciences 25(2) (2009) 167-176.
12. J. Miller, Convex meromorphic mappings and related functions, Proc. Amer. Math. Soc. 25 (1970), 220-228.
13. S.S. Miller and P.T. Mocanu, Differential subordinations and inequalities in the complex plane, J. Differ. Equations, 67(1987), 199-211.
14. M.L. Mogra , T.R. Reddy and O.P. Juneja, Meromorphic univalent functions with positive coefficients, Bull. Austral. Math. Soc. 32 (1985), 161-176.
15. S. Owa, H. E. Darwish and M. K. Aouf, Meromorphic multivalent functions with positive and fixed second coefficients, Math. Japon., 46(2) (1997), 231-236.
16. CH. Pommerenke, On meromorphic starlike functions, Pacific J. Math.13 (1963), 221-235.
17. W.C. Royster, Meromorphic starlike multivalent functions, Trans. Amer. Math.Soc.107 (1963), 300-308.
18. H.M. Srivastava, H.M. Hossen and M.K. Aouf, A unified presentation of some classes of meromorphically multivalent functions, Computer and Mathematics with Applications 38(1999), 63-70.
19. B.A. Uralegaddi and M.D. Ganigi, A certain class of meromorphic univalent functions with positive coefficients, Pure Appl. Math. Sci. 26 (1987), 75-81.
20. B.A. Uralegaddi and C. Somantha, New criteria for meromorphic starlike univalent functions, Bull. Austral. Math. Soc. 43 (1991), 137-140.
21. Z. Wang, Y. Sun and Z. Zhang, Certain classes of meromorphic multivalent functions, Computers and Mathematics with Applications 58 (2009) 1408-1417.
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2014-05-21
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