| Title:
|
A subclass of harmonic functions with varying arguments defined by Dziok-Srivastava operator (English) |
| Author:
|
Murugusundaramoorthy, G. |
| Author:
|
Vijaya, K. |
| Author:
|
Raina, R. K. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
37-46 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Making use of the Dziok-Srivastava operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions. (English) |
| Keyword:
|
harmonic univalent starlike functions |
| Keyword:
|
Dziok-Srivastava operator |
| Keyword:
|
distortion bounds |
| Keyword:
|
extreme points |
| Keyword:
|
uniformly convex functions |
| MSC:
|
30C45 |
| MSC:
|
30C50 |
| MSC:
|
33C05 |
| MSC:
|
33C20 |
| idZBL:
|
Zbl 1212.30052 |
| idMR:
|
MR2591659 |
| . |
| Date available:
|
2009-06-25T13:47:11Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128288 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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[9] Rosy, T., Stephen, B. A., Subramanian, K. G., Jahangiri, J. M.: Goodman-Ronning type harmonic univalent functions.Kyungpook Math. J. 41 (2001), 45–54. Zbl 0988.30012, MR 1847436 |
| Reference:
|
[10] Ruscheweyh, S.: New criteria for univalent functions.Proc. Amer. Math. Soc. 49 (1975), 109–115. Zbl 0303.30006, MR 0367176, 10.1090/S0002-9939-1975-0367176-1 |
| Reference:
|
[11] Ruscheweyh, S.: Neighborhoods of univalent functions.Proc. Amer. Math. Soc. 81 (1981), 521–528. Zbl 0458.30008, MR 0601721, 10.1090/S0002-9939-1981-0601721-6 |
| Reference:
|
[12] Srivastava, H. M., Owa, S.: Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators and certain subclasses of analytic functions.Nagoya Math. J. 106 (1998), 1–28. MR 0894409 |
| Reference:
|
[13] Vijaya, K.: Studies on certain subclasses of harmonic functions.Ph.D. thesis, VIT University, 2006. |
| . |
