Some applications of first-order differential subordinations
-
Mamoru Nunokawa
and
Janusz Sokół
Abstract
In this work we present a new geometric approach to some problems in differential subordination theory. In the paper some sufficient conditions for function to be starlike or univalent or to be in the class of Carathéodory functions are obtained. We also discuss the new results closely related to the generalized Briot-Bouquet differential subordination.
References
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Articles in the same Issue
- Outer measure on effect algebras
- Hamiltonian ordered algebras and congruence extension
- Automorphism groups with some finiteness conditions
- Only finitely many Tribonacci Diophantine triples exist
- Abundant semigroups with a *-normal idempotent
- Stability results for fractional differential equations with state-dependent delay and not instantaneous impulses
- Monotonicity results for delta fractional differences revisited
- M-Cantorvals of Ferens type
- Comparison of ψ-porous topologies
- On certain generalized matrix methods of convergence in (ℓ)-groups
- Some applications of first-order differential subordinations
- Hankel determinant for a class of analytic functions involving conical domains defined by subordination
- Nonoscillation and exponential stability of the second order delay differential equation with damping
- Positive solutions of perturbed nonlinear hammerstein integral equation
- Ricci solitons on 3-dimensional cosymplectic manifolds
- Probabilistic uniformization and probabilistic metrization of probabilistic convergence groups
- The super socle of the ring of continuous functions
- On the internal approach to differential equations 2. The controllability structure
- Finiteness of the discrete spectrum in a three-body system with point interaction
- On a subclass of Bazilevic functions
