28,013 research outputs found

    An Application of Differential Subordination

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    We apply the general theory of differential subordination to obtain certian interesting criteria for -valent starlikeness and strong starlikeness. Some applications of these results are also discussed

    A first-order differential double subordination with applications

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    Let q1q_1 and q2q_2 belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions pp to satisfy the double subordination chain q1(z)p(z)q2(z)q_1(z)\prec p(z)\prec q_2(z). The differential sandwich-type result obtained is applied to normalized univalent functions and to Φ\Phi-like functions

    Laplace-Laplace analysis of the fractional Poisson process

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    We generate the fractional Poisson process by subordinating the standard Poisson process to the inverse stable subordinator. Our analysis is based on application of the Laplace transform with respect to both arguments of the evolving probability densities.Comment: 20 pages. Some text may overlap with our E-prints: arXiv:1305.3074, arXiv:1210.8414, arXiv:1104.404
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