Results 11 to 20 of about 894 (207)

Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function [PDF]

International Journal of Mathematics and Mathematical Sciences, 2014
By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new ...
K. AL-Shaqsi
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Strong Differential Subordinations and Superordinations for Riemann–Liouville Fractional Integral of Extended q-Hypergeometric Function

Mathematics, 2023
The notions of strong differential subordination and its dual, strong differential superordination, have been introduced as extensions of the classical differential subordination and superordination concepts, respectively.
Alina Alb Lupaş, Georgia Irina Oros
doaj   +2 more sources

Strong Differential Subordination and Superordination Results for Extended q-Analogue of Multiplier Transformation

Symmetry, 2023
The results obtained by the authors in the present article refer to quantum calculus applications regarding the theories of strong differential subordination and superordination. The q-analogue of the multiplier transformation is extended, in order to be applied on the specific classes of functions involved in strong differential subordination and ...
Alina Alb Lupaş, F Ghanim
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Results of Third-Order Strong Differential Subordinations

Axioms
In this paper, we present and investigate the notion of third-order strong differential subordinations, unveiling several intriguing properties within the context of specific classes of admissible functions.
Madan Mohan Soren, Abbas Kareem Wanas, Luminiţa-Ioana Cotîrlǎ   +2 more
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Strong differential subordination and superordination of analytic functions

Journal of Mathematical Analysis and Applications, 2012
Let \(A\) be the class of functions analytic in the unit disc \(\mathbb{U}= \{z\in\mathbb{C}:|z|< 1\}\). We say that a function \(f\in A\) is subordinate to \(g\in A\) if there exists a function \(w\in A\) such that \(|w(z)|< 1\) and \(f(z)= g(w(z))\) for \(z\in \mathbb{U}\). In this case we write \(f\prec g\) or \(f(z)\prec g(z)\).
T K Suresh
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Strong Differential Subordination to Briot-Bouquet Differential Equations

Journal of Differential Equations, 1994
Two theorems are proved on differential subordination \[ p(z) + {zp'(z) \over z \bigl( f'(z)/f(z) \bigr) \bigl[ \alpha p(z) + \beta \bigr] } \prec g(z). \] In fact, \(p(z) \prec g(z)\) provided \(p\) is analytic in the unit disc \(D\), \(p(0) = c\), \(g\) is univalent in \(D\), \(f\) analytic in \(D\) such that \(z(f'(z)/f(z))\) is analytic and \(\neq ...
Antonino, J.A., Romaguera, S.
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STRONG DIFFERENTIAL SUBORDINATION AND SUPERORDINATION OF NEW GENERALIZED DERIVATIVE OPERATOR

Korean Journal of Mathematics, 2015
Summary: In this work, certain classes of admissible functions are considered. Some strong differential subordination and superordination properties of analytic functions associated with new generalized derivative operator \(\mathfrak{B}^{\mu,q,s}_{\lambda_1,\lambda_2,\ell,d}\) are investigated.
Maslina Darus
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Differential Subordination and Strong Differential Subordination for Continuous-Time Martingales and Related Sharp Inequalities

Annals of Probability, 1995
If \(X\) and \(Y\) are a pair of discrete martingales, suppose the difference sequence of \(X\) satisfies a pointwise domination with the corresponding sequence of \(Y\). Then one says that \(X\) is differentially subordinate to \(Y\). In the continuous parameter case the concept is in terms of their quadratic variations. Thus if \(X = \{X_t, {\mathcal
exaly   +3 more sources

Strong Differential Subordination and Stochastic Integration

Annals of Probability, 1994
Various sharp inequalities are established connecting the ``size'' of the stochastic integral \(Y= \int HdX\) and the ``size'' of a semimartingale integrator \(X\) for bounded predictable integrands \(H\). The proofs are mainly based on adequate choice of special functions related to some boundary value problems.
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STRONG DIFFERENTIAL SUBORDINATION AND APPLICATIONS TO UNIVALENCY CONDITIONS

Journal of the Korean Mathematical Society, 2006
For the Briot-Bouquet differential equations of the form given in [1] we can reduce them to where . In this paper we are going to give conditions in order that if u and v satisfy, respectively, the equations (1) , with certain conditions on the functions F and G applying the concept of strong subordination given in [2] by the author, implies that ...
exaly   +3 more sources