Results 11 to 20 of about 153,178 (286)
Convolution and differential subordination [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 Let A denote the class of all functions f analytic in the open unit disc U with f(0) 0 f'(0)-1. Let h be any convex univalent analytic function on U with h(0) and Re h(z) > 0 in U. Let g A be fixed.
T. N. Shanmugam
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On fuzzy differential subordination [PDF]
Mathematica Moravica, 2015 The theory of differential subordination was introduced by S.S. Miller and P.T. Mocanu in [2], then developed in many papers. In [1] the authors investigate various subordination results for some subclasses of analytic functions in the unit disc.
Haydar Eṣ A.
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An Application of Differential Subordination [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 We apply the general theory of differential subordination to obtain certian interesting criteria for 𝑝-valent starlikeness and strong starlikeness. Some applications of these results are also discussed.
T. N. Shanmugam, M. P. Jeyaraman
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Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations
Mathematics, 2022 Fuzzy differential subordination theory represents a generalization of the classical concept of differential subordination which emerged in the recent years as a result of embedding the concept of fuzzy set into geometric function theory.
Georgia Irina Oros, Simona Dzitac
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Some applications of a differential subordination [PDF]
International Journal of Mathematics and Mathematical Sciences, 1999 A number of interesting criteria were given by earlier workers for a normalized analytic function to be in the familiar class 𝔖* of starlike functions. The main object of the present paper is to extend and improve each of these earlier results.
Yong Chan Kim, H. M. Srivastava
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On some first-order differential subordination
Journal of the Egyptian Mathematical Society, 2014 Let A denote the class of functions f that are analytic in the unit disc D and normalized by f(0) = f′(0) − 1 = 0. In this paper, we investigate the class of functions such that Re{f′(z)+zf″(z)-β}>α in D.
M. Nunokawa +4 more
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(Non)Differentiability and Asymptotics for Potential Densities of Subordinators [PDF]
Elect. Journal. Probability, Vol. 16 (2011), pages 470-503, 2011 For subordinators with positive drift we extend recent results on the structure of the potential measures and the renewal densities. Applying Fourier analysis a new representation of the potential densities is derived from which we deduce asymptotic results and show how the atoms of the Levy measure translate into points of (non)smoothness.
Döring, Leif, Svavov, Mladen
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Axioms, 2023 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.
Georgia Irina Oros +2 more
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Fractal and Fractional, 2022 The fuzzy differential subordination concept was introduced in 2011, generalizing the concept of differential subordination following a recent trend of adapting fuzzy sets theory to other already-established theories.
Mugur Acu +2 more
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Differential Subordinations for Nonanalytic Functions [PDF]
Abstract and Applied Analysis, 2014 In the paper by Mocanu (1980), Mocanu has obtained sufficient conditions for a function in the classesC1(U), respectively, andC2(U)to be univalent and to mapUonto a domain which is starlike (with respect to origin), respectively, and convex. Those conditions are similar to those in the analytic case.
Oros, Georgia Irina, Oros, Gheorghe
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