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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| 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/10.1155/2008/520698 |
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| author | K. Al-Shaqsi M. Darus |
| author_facet | K. Al-Shaqsi M. Darus |
| author_sort | K. Al-Shaqsi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bd86e2afc2424beaa19fcd390b161133 |
| institution | DOAJ |
| 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-bd86e2afc2424beaa19fcd390b1611332025-08-20T03:23:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/520698520698On Integral Operator Defined by Convolution Involving Hybergeometric FunctionsK. Al-Shaqsi0M. Darus1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, MalaysiaFor 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.http://dx.doi.org/10.1155/2008/520698 |
| spellingShingle | K. Al-Shaqsi M. Darus On Integral Operator Defined by Convolution Involving Hybergeometric Functions International Journal of Mathematics and Mathematical Sciences |
| title | On Integral Operator Defined by Convolution Involving Hybergeometric Functions |
| title_full | On Integral Operator Defined by Convolution Involving Hybergeometric Functions |
| title_fullStr | On Integral Operator Defined by Convolution Involving Hybergeometric Functions |
| title_full_unstemmed | On Integral Operator Defined by Convolution Involving Hybergeometric Functions |
| title_short | On Integral Operator Defined by Convolution Involving Hybergeometric Functions |
| title_sort | on integral operator defined by convolution involving hybergeometric functions |
| url | http://dx.doi.org/10.1155/2008/520698 |
| work_keys_str_mv | AT kalshaqsi onintegraloperatordefinedbyconvolutioninvolvinghybergeometricfunctions AT mdarus onintegraloperatordefinedbyconvolutioninvolvinghybergeometricfunctions |