New classification of analytic functions with negative coefficients
New classification of analytic functions with negative coefficients is given by using the coefficients inequality, that is, new subclass A(p,n,Bk) of analytic functions with negative coefficient is defined. The object of the present paper is to prove various distortion theorems for functions in A(p,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000109 |
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| _version_ | 1832566996289454080 |
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| author | Shigeyoshi Owa Milutin Obradovic |
| author_facet | Shigeyoshi Owa Milutin Obradovic |
| author_sort | Shigeyoshi Owa |
| collection | DOAJ |
| description | New classification of analytic functions with negative coefficients is given by using the coefficients inequality, that is, new subclass A(p,n,Bk) of analytic functions with negative coefficient is defined. The object of the present paper is to prove various distortion theorems for functions in A(p,n,Bk), and for fractional calculus of functions belonging to A(p,n,Bk). Further, some properties of the class A(p,n,Bk) are shown. |
| format | Article |
| id | doaj-art-dcf3862de6454461809821b5ff8bfe97 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-dcf3862de6454461809821b5ff8bfe972025-02-03T01:02:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-01111556910.1155/S0161171288000109New classification of analytic functions with negative coefficientsShigeyoshi Owa0Milutin Obradovic1Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577, JapanDepartment of Mathematics, Faculty of Technology and Metallurgy, 4 Karnegieva Street, Belgrade 11000, SerbiaNew classification of analytic functions with negative coefficients is given by using the coefficients inequality, that is, new subclass A(p,n,Bk) of analytic functions with negative coefficient is defined. The object of the present paper is to prove various distortion theorems for functions in A(p,n,Bk), and for fractional calculus of functions belonging to A(p,n,Bk). Further, some properties of the class A(p,n,Bk) are shown.http://dx.doi.org/10.1155/S0161171288000109analytic functiondistortion theoremfractional integralfractional derivativeextreme point. |
| spellingShingle | Shigeyoshi Owa Milutin Obradovic New classification of analytic functions with negative coefficients International Journal of Mathematics and Mathematical Sciences analytic function distortion theorem fractional integral fractional derivative extreme point. |
| title | New classification of analytic functions with negative coefficients |
| title_full | New classification of analytic functions with negative coefficients |
| title_fullStr | New classification of analytic functions with negative coefficients |
| title_full_unstemmed | New classification of analytic functions with negative coefficients |
| title_short | New classification of analytic functions with negative coefficients |
| title_sort | new classification of analytic functions with negative coefficients |
| topic | analytic function distortion theorem fractional integral fractional derivative extreme point. |
| url | http://dx.doi.org/10.1155/S0161171288000109 |
| work_keys_str_mv | AT shigeyoshiowa newclassificationofanalyticfunctionswithnegativecoefficients AT milutinobradovic newclassificationofanalyticfunctionswithnegativecoefficients |