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- W2153587460 abstract "In this paper normalised functions of the formf(z)=z+∑k=2∞akzk,analytic in the unit disk, are studied. Forφ(a,c;z)=z+∑k=2∞(a)k(c)kzk((a)k denotes the Pochhammer symbol), the operator L(a,c)f(z)=φ(a,c;z)∗f(z) is defined. This operator is known as the Carlson-Shaffer operator. Using this operator, a more complex operator is defined in the following way:Jf(z)=1−2b+2bL(n+3,1)f(z)L(n+2,1)f(z),b≠0.Furthermore, a class of functions is given by the condition∣∣∣Jf(z)−1(B−A)β(Jf(z)−α)+A(Jf(z)−1)∣∣∣<1,|z|<1.Here 0≤α<1, 0<β≤1, −1≤A<B≤1, 0<B≤1. The class of functions satisfying this condition is related to other, previously investigated, classes of analytic functions. The main result of the paper gives upper and lower bounds on L(n+2,1)f(z) for f satisfying the above condition." @default.
- W2153587460 created "2016-06-24" @default.
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- W2153587460 date "2010-01-01" @default.
- W2153587460 modified "2023-09-27" @default.
- W2153587460 title "On subclasses of Ruscheweyh class functions of order α and type β" @default.
- W2153587460 hasPublicationYear "2010" @default.
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