6533b7d8fe1ef96bd126ab94

RESEARCH PRODUCT

Certain subclasses of multivalent analytic functions defined by multiplier transforms

Zhi-gang WangMugur AcuNeng Xu

subject

Discrete mathematicsMultiplier (Fourier analysis)Computational MathematicsPure mathematicsApplied MathematicsNumerical analysisAnalytic functionMathematics

description

By making use of the principle of subordination between analytic functions and a family of multiplier transforms, we introduce and investigate some new subclasses of multivalent analytic functions. Such results as inclusion relationships, subordination and superordination properties, integral-preserving properties, argument estimates and convolution properties are proved.

https://doi.org/10.1016/j.amc.2010.01.031