On new classes of analytic functions with negative coefficients
We introduce the classes Kn* of analytic functions with negative coefficients by using the nth order Ruscheweyh derivative. The object of the present paper is to show coefficient inequalities and some closure theorems for functions f(z) in Kn*. Further we consider the modified Hadamard product of fu...
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| Format: | Article |
| Language: | English |
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Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171284000752 |
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| _version_ | 1832560298110746624 |
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| author | Shigeyoshi Owa |
| author_facet | Shigeyoshi Owa |
| author_sort | Shigeyoshi Owa |
| collection | DOAJ |
| description | We introduce the classes Kn* of analytic functions with negative coefficients by using the nth order Ruscheweyh derivative. The object of the present paper is to show coefficient inequalities and some closure theorems for functions f(z) in Kn*. Further we consider the modified Hadamard product of functions fi(z) in Kni*(n=1,2,…,m). |
| format | Article |
| id | doaj-art-1b9cd1aad43f4209be10657a64503e96 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1b9cd1aad43f4209be10657a64503e962025-02-03T01:27:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017471973010.1155/S0161171284000752On new classes of analytic functions with negative coefficientsShigeyoshi Owa0Department of Mathematics, Faculty of Science and Technology, Kinki University, Higashi-Osaka, Osaka, JapanWe introduce the classes Kn* of analytic functions with negative coefficients by using the nth order Ruscheweyh derivative. The object of the present paper is to show coefficient inequalities and some closure theorems for functions f(z) in Kn*. Further we consider the modified Hadamard product of functions fi(z) in Kni*(n=1,2,…,m).http://dx.doi.org/10.1155/S0161171284000752Ruscheweyh derivativeanalytic functionsnegative coefficientscoefficient inequalities and Hadamard product. |
| spellingShingle | Shigeyoshi Owa On new classes of analytic functions with negative coefficients International Journal of Mathematics and Mathematical Sciences Ruscheweyh derivative analytic functions negative coefficients coefficient inequalities and Hadamard product. |
| title | On new classes of analytic functions with negative coefficients |
| title_full | On new classes of analytic functions with negative coefficients |
| title_fullStr | On new classes of analytic functions with negative coefficients |
| title_full_unstemmed | On new classes of analytic functions with negative coefficients |
| title_short | On new classes of analytic functions with negative coefficients |
| title_sort | on new classes of analytic functions with negative coefficients |
| topic | Ruscheweyh derivative analytic functions negative coefficients coefficient inequalities and Hadamard product. |
| url | http://dx.doi.org/10.1155/S0161171284000752 |
| work_keys_str_mv | AT shigeyoshiowa onnewclassesofanalyticfunctionswithnegativecoefficients |