239 research outputs found

    Stability of a functional equation deriving from cubic and quartic functions

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    In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation &4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y)) &+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x)

    Convexity of a family of meromorphically univalent functions by using two fixed points

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    AbstractIn this paper a new class of meromorphic univalent functions in terms of an integral operator Fc(z)=∫01cvcf(vz)dv,(c≥1), is defined. We find some properties of this new class by using two fixed points
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