| Title:
|
Problems Concerning Subclasses of Analytic Functions (English) |
| Author:
|
Darus, Maslina |
| Author:
|
Faisal, Imran |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2012 |
| Pages:
|
35-42 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper, we establish some interesting results concerning the quasi-Hadamard product for certain subclasses of analytic functions. (English) |
| Keyword:
|
analytic |
| Keyword:
|
Starlike |
| Keyword:
|
Convex |
| Keyword:
|
Quasi-Hadamard product |
| MSC:
|
30C45 |
| idZBL:
|
Zbl 06204919 |
| idMR:
|
MR3060007 |
| . |
| Date available:
|
2012-06-25T08:20:59Z |
| Last updated:
|
2014-03-12 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142872 |
| . |
| Reference:
|
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| Reference:
|
[2] Altintas, O., Owa, S.: On subclasses of univalent functions with negative coefficients. Pusan Kyongnam Math. J. 4 (1998), 41–56. |
| Reference:
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[3] Aouf, M. K., El-Ashwah, R. M., El-Deeb, S. M.: Some inequalities for certain p-valent functions involving extended multiplier transformations. Proc. Pakistan Acad. Sci. 46 (2009), 217–221. MR 2602194 |
| Reference:
|
[4] Bharati, R., Parvatham, R., Swaminathan, A.: On subclasses of uniformly convex functions and corresponding class of starlike functions. Tamkang J. Math. 26, 1 (1997), 17–32. Zbl 0898.30010, MR 1457247 |
| Reference:
|
[5] Cho, N. E., Srivastava, H. M.: Argument estimates of certain analytic functions defined by a class of multiplier transformations. Math. Comput. Modeling 37 (2002), 39–49. MR 1959457, 10.1016/S0895-7177(03)80004-3 |
| Reference:
|
[6] Cho, N. E., Kim, T. H.: Multiplier transformations and strongly close-to-convex functions. Bull. Korean Math. Soc. 40 (2003), 399–410. Zbl 1032.30007, MR 1996850, 10.4134/BKMS.2003.40.3.399 |
| Reference:
|
[7] Darus, M., Faisal, I.: A different approach to normalized analytic functions through meromorphic functions defined by extended multiplier transformations operator. Int. J. App. Math. Stat. 23 (2011), 112–121. MR 2803119 |
| Reference:
|
[8] Darus, M., Faisal, I.: Characrerization properties for a class of analytic aunctions defined by generalized Cho and Srivastava operator. In: Proc. 2nd Inter. Conf. Math. Sci., Kuala Lumpur, Malaysia, 2010, 1106–1113. |
| Reference:
|
[9] Kumar, V.: Hadamard product of certain starlike functions. J. Math. Anal. Appl. 110 (1985), 425–428. Zbl 0585.30013, MR 0805264, 10.1016/0022-247X(85)90304-X |
| Reference:
|
[10] Kumar, V.: Quasi-Hadamard product of certain univalent function. J. Math. Anal. Appl. 126 (1987), 70–77. MR 0900527, 10.1016/0022-247X(87)90074-6 |
| Reference:
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[11] Murugusundaramoorthya, G., Mageshb, N.: On certain subclasses of analytic functions associated with hypergeometric functions. App. Math. Lett. 24 (2011), 494–500. MR 2749733, 10.1016/j.aml.2010.10.048 |
| Reference:
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[12] Salagean, G. S.: Subclasses of univalent functions. Lecture Notes in Mathematics 1013, Springer-Verlag, Berlin, 1983, 362–372. Zbl 0531.30009, MR 0738107 |
| Reference:
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[13] Silverman, H.: Univalent functions with negative coefficients. Proc. Amer. Math. Soc. 51, (1975), 109–116. Zbl 0311.30007, MR 0369678, 10.1090/S0002-9939-1975-0369678-0 |
| Reference:
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[14] Subramanian, K. G., Sudharsan, T. V., Balasubrahmanyam, P., Silverman, H.: Classes of uniformly starlike functions. Publ. Math. Debrecen. 53, 3-4 (1998), 309–315. Zbl 0921.30007, MR 1657542 |
| Reference:
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[15] Subramanian, K. G., Murugusundaramoorthy, G., Balasubrahmanyam, P., Silverman, H.: Subclasses of uniformly convex and uniformly starlike functions.Math. Japonica 42, 3 (1995), 517–522. MR 1363841 |
| Reference:
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[16] Uralegaddi, B. A., Somanatha, C.: Certain classes of univalent functions. In: Srivastava, H. M., Owa, S. (eds) Current Topics in Analytic Function Theory, World Scientific, Singapore, 1992, 371–374. Zbl 0987.30508, MR 1232456 |
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