Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative
By making use of the fractional differential operator Ωzλ due to Owa and Srivastava, a class of analytic functions ℛλ(α,ρ) (0≤ρ≤1, 0≤λ<1, |α|<π/2) is introduced. The sharp bound for the nonlinear functional |a2a4−a32| is found. Several basic properties such as inclusion, subordination,...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/153280 |
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| author | A. K. Mishra P. Gochhayat |
| author_facet | A. K. Mishra P. Gochhayat |
| author_sort | A. K. Mishra |
| collection | DOAJ |
| description | By making use of the fractional differential operator Ωzλ due to Owa and Srivastava, a class of analytic functions ℛλ(α,ρ) (0≤ρ≤1, 0≤λ<1, |α|<π/2) is introduced. The sharp bound for the nonlinear functional |a2a4−a32| is found. Several basic properties such as inclusion, subordination, integral transform, Hadamard product are also studied. |
| format | Article |
| id | doaj-art-3a7eacc273aa47bcabbe55ed25087b97 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3a7eacc273aa47bcabbe55ed25087b972025-02-03T01:07:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/153280153280Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional DerivativeA. K. Mishra0P. Gochhayat1Department of Mathematics, Berhampur University, Bhanja Bihar, Berhampur 760 007, Orissa, IndiaDepartment of Mathematics, Berhampur University, Bhanja Bihar, Berhampur 760 007, Orissa, IndiaBy making use of the fractional differential operator Ωzλ due to Owa and Srivastava, a class of analytic functions ℛλ(α,ρ) (0≤ρ≤1, 0≤λ<1, |α|<π/2) is introduced. The sharp bound for the nonlinear functional |a2a4−a32| is found. Several basic properties such as inclusion, subordination, integral transform, Hadamard product are also studied.http://dx.doi.org/10.1155/2008/153280 |
| spellingShingle | A. K. Mishra P. Gochhayat Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative International Journal of Mathematics and Mathematical Sciences |
| title | Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative |
| title_full | Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative |
| title_fullStr | Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative |
| title_full_unstemmed | Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative |
| title_short | Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative |
| title_sort | second hankel determinant for a class of analytic functions defined by fractional derivative |
| url | http://dx.doi.org/10.1155/2008/153280 |
| work_keys_str_mv | AT akmishra secondhankeldeterminantforaclassofanalyticfunctionsdefinedbyfractionalderivative AT pgochhayat secondhankeldeterminantforaclassofanalyticfunctionsdefinedbyfractionalderivative |