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By making use of the fractional differential operator Ω λ z due to Owa and Srivastava, a class of analytic functions R λ α, ρ 0 ≤ ρ ≤ 1, 0 ≤ λ < 1, |α| < π/2 is introduced. The sharp bound for the nonlinear functional |a 2 a 4 − a 2 3 | is found. Several basic properties such as inclusion, subordination, integral transform, Hadamard product are also studied.

In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya [16], suitable classes of admissible functions are investigated and the dual properties of the third-order differential subordinations are presented. As a consequence, various sandwich-type theorems are established for a class of univalent analytic functions involving the celebrated Srivastava-Attiya transform. Relevant connections of the new results are pointed out.

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No abstract