Univalent Functions Formulated by the Salagean-Difference Operator
We present a class of univalent functions Tm(κ, α) formulated by a new differential-difference operator in the open unit disk. The operator is a generalization of the well known Salagean’s differential operator. Based on this operator, we define a generalized class of bounded turning functions. Ineq...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Etamaths Publishing
2019-07-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/1882 |
| Summary: | We present a class of univalent functions Tm(κ, α) formulated by a new differential-difference operator in the open unit disk. The operator is a generalization of the well known Salagean’s differential operator. Based on this operator, we define a generalized class of bounded turning functions. Inequalities, extreme points of Tm(κ, α), some convolution properties of functions fitting to Tm(κ, α), and other properties are discussed. |
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| ISSN: | 2291-8639 |