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Quantum Approach to Starlike Functions |
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PP: 437-441 |
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doi:10.18576/amis/150405
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Author(s) |
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Khalida Inayat Noor,
Muhammad Aslam Noor,
Hamdy M. Mohamed,
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Abstract |
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| A new class R∗q(β),q∈(0,1),β∈(0,1], of functions of analytic in
E = {z : |z| < 1} with f(0) = f′(0)−1 = 0, is defined using the concept of q-difference operator Dq. as: f ∈ R∗q(β), if and only if,
z Dq f (z) is subordinate to 1+z β , q ∈ (0, 1) for z ∈ E . Several properties of this class which include a distortion result, an integral f (z) 1−qz
operator and rate of growth of coefficients. Some interesting special cases are deduced from main results as applications. |
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