On escape criterion of an orbit with s−convexity and illustrations of the behavior shifts in Mandelbrot and Julia set fractals

Our study presents a novel orbit with s −convexity, for illustration of the behavior shift in the fractals. We provide a theorem to demonstrate the escape criterion for transcendental cosine functions of the type T α , β ( u ) = cos( u m )+ αu + β , for u , α , β ∈ C and m ≥ 2. We also demonstrate t...

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