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On bounds for solutions of monotonic first order difference-differential systems

On bounds for solutions of monotonic first order difference-differential systems

Many special functions are solutions of first order linear systems . We obtain bounds for the ratios y n (x)/y n -1(x) and the logarithmic derivatives of y n (x) for solutions of monotonic systems satisfying certain initial conditions. For the case d n (x)e n (x) > 0, sequences …