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On Inequalities for the Ratio of v-Gamma and v-Polygamma Functions

On Inequalities for the Ratio of v-Gamma and v-Polygamma Functions

In this paper, the author presents some double inequalities involving a ratio of v-Gamma and v-polygamma functions. The approach makes use of the log-convexity property of v-Gamma function and the monotonicity property of v-polygamma function. Some of the results also give generalizations and extensions of some previous results.