On Integral Operator Defined by Convolution Involving Hybergeometric Functions
For λ>−1 and μ≥0, we consider a liner operator Iλμ on the class 𝒜 of analytic functions in the unit disk defined by the convolution (fμ)(−1)∗f(z), where fμ=(1−μ)z2F1(a,b,c;z)+μz(z2F1(a,b,c;z))', and introduce a certain new subclass of 𝒜 using this operator. Several interesting properties of...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/520698 |
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| Summary: | For λ>−1 and μ≥0, we consider a liner operator Iλμ on the class 𝒜 of analytic functions in the unit disk defined by the convolution (fμ)(−1)∗f(z), where fμ=(1−μ)z2F1(a,b,c;z)+μz(z2F1(a,b,c;z))', and introduce a certain new subclass of 𝒜 using this operator. Several interesting properties of these classes are obtained. |
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| ISSN: | 0161-1712 1687-0425 |