Integral means of certain class of analytic functions
In this paper we discuss the following class of functions Sλ(α,β)={f(z):|f(z)g(z)−1|<β|λf(z)g(z)+1|,z∈D} where 0≤λ≤1,0<β≤1,0≤α<1, and f(z)=z+∑n=2∞anzn is analytic in D={z:|z|<1}, g(z) is a starlike function of order α. A subordination about this class is obtained, the integral means of...
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| Format: | Article |
| Language: | English |
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Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171293000572 |
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| _version_ | 1832556829659365376 |
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| author | Gao Chunyi |
| author_facet | Gao Chunyi |
| author_sort | Gao Chunyi |
| collection | DOAJ |
| description | In this paper we discuss the following class of functions
Sλ(α,β)={f(z):|f(z)g(z)−1|<β|λf(z)g(z)+1|,z∈D} where 0≤λ≤1,0<β≤1,0≤α<1,
and f(z)=z+∑n=2∞anzn is analytic in D={z:|z|<1}, g(z) is a starlike function of order α. A
subordination about this class is obtained, the integral means of functions in Sλ(α,β) and some
extremal properties are studied. |
| format | Article |
| id | doaj-art-8b757a1ed96340469ca892e68fe83ffd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8b757a1ed96340469ca892e68fe83ffd2025-02-03T05:44:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116345946410.1155/S0161171293000572Integral means of certain class of analytic functionsGao Chunyi0Department of Mathematics, Changsha Communications Institute, Hunan, Changsha 410076, ChinaIn this paper we discuss the following class of functions Sλ(α,β)={f(z):|f(z)g(z)−1|<β|λf(z)g(z)+1|,z∈D} where 0≤λ≤1,0<β≤1,0≤α<1, and f(z)=z+∑n=2∞anzn is analytic in D={z:|z|<1}, g(z) is a starlike function of order α. A subordination about this class is obtained, the integral means of functions in Sλ(α,β) and some extremal properties are studied.http://dx.doi.org/10.1155/S0161171293000572analytic functionsubordinationintegral meandistortion coefficient inequality. |
| spellingShingle | Gao Chunyi Integral means of certain class of analytic functions International Journal of Mathematics and Mathematical Sciences analytic function subordination integral mean distortion coefficient inequality. |
| title | Integral means of certain class of analytic functions |
| title_full | Integral means of certain class of analytic functions |
| title_fullStr | Integral means of certain class of analytic functions |
| title_full_unstemmed | Integral means of certain class of analytic functions |
| title_short | Integral means of certain class of analytic functions |
| title_sort | integral means of certain class of analytic functions |
| topic | analytic function subordination integral mean distortion coefficient inequality. |
| url | http://dx.doi.org/10.1155/S0161171293000572 |
| work_keys_str_mv | AT gaochunyi integralmeansofcertainclassofanalyticfunctions |