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ABSTRACT. We study subclasses of the class of uniformly starlike functions which were recently introduced by A.W. Goodman. One new subclass is defined and it is shown that it shares many properties of the parent class.

that such t + ~ In paper, invariants to 0(i) slowly varyingAbstract. An adiabatic invariant is characterized by the property its derivative is small and oscillatory 9 Therefore, assuming that a quantity is constant does not lead to a cumulative error as 9 this adiabatic using action and angle variables, and 0(e) are found for the two-body gravitational constant 9 problem with a

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