Differential subordinations and Pythagorean means
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DOI: 10.1515/ms-2017-0419
Abstract: Abstract The aim of this paper is to generalize several differential subordination results, involving arithmetic, geometric and harmonic means of the expressions p(z) and p(z)+zp′(z)p(z). $\begin{array}{} p(z)+\frac{zp'(z)}{p(z)}. \end{array} $ Are also given certain applications of… read more here.
Keywords: differential subordinations; pythagorean means; subordinations pythagorean;
On Special Fuzzy Differential Subordinations Obtained for Riemann-Liouville Fractional Integral of Ruscheweyh and Sălăgean Operators
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DOI: 10.3390/axioms11090428
Abstract: New results concerning fuzzy differential subordination theory are obtained in this paper using the operator denoted by Dz−λLαn, previously introduced by applying the Riemann–Liouville fractional integral to the convex combination of well-known Ruscheweyh and Sălăgean… read more here.
Keywords: fractional integral; fuzzy differential; liouville fractional; ruscheweyh gean ... See more keywords
Third-Order Differential Subordinations Using Fractional Integral of Gaussian Hypergeometric Function
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DOI: 10.3390/axioms12020133
Abstract: Sanford S. Miller and Petru T. Mocanu’s theory of second-order differential subordinations was extended for the case of third-order differential subordinations by José A. Antonino and Sanford S. Miller in 2011. In this paper, new… read more here.
Keywords: function; order differential; third order; differential subordinations ... See more keywords