On certain classes of p-Valent functions by using complex-order and differential subordination.
The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip)r, ?(f(z))(j+1)/(p - j)(?p(r, ?)f(z))(j) < (a + (aB + (A- B)ß)z)/a(1 + Bz), where ?p(r, ?) is an operator defined by Salagean and ßis a complex number. Furthe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Hindawi Publishing Corporation
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15892/ http://psasir.upm.edu.my/id/eprint/15892/1/On%20certain%20classes%20of%20p.pdf |
| Summary: | The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip)r, ?(f(z))(j+1)/(p - j)(?p(r, ?)f(z))(j) < (a + (aB + (A- B)ß)z)/a(1 + Bz), where ?p(r, ?) is an operator defined by Salagean and ßis a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties. |
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