Some properties of the generalized Srivastava–Attiya operator

Abstract

The main objective of this paper is to derive some inequality properties, convolution properties, subordination and superordination properties, and sandwich-type results involving the generalized Srivastava–Attiya operator.

Keywords:

• analytic functions
• multivalent functions
• differential subordination and superordination between analytic functions
• Hadamard product (or convolution)
• generalized Srivastava–Attiya operator

2000 Mathematics Subject Classification :

• Primary 30C45
• Secondary 30C80

Acknowledgements

The present investigation was supported by the Foundation of Chinese Society for Electrical Engineering (2008), the Key Project of Chinese Ministry of Education under Grant 211118 and the Excellent Youth Foundation of Educational Committee of Hunan Province under Grant 10B002 of the People's Republic of China.

Notes

†Dedicated to Professor H. M. Srivastava on the Occasion of his 70th birthday