Some families of generalized Mathieu-type power series, associated probability distributions and related inequalities involving complete monotonicity and log-convexity

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• Živorad Tomovski
• Khaled Mehrez

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• Primary
• 33B15
• 33E20
• 60E10
• 11M35

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• Mathieu series
• integral representations
• probability distributions
• inequality
• Hurwitz-Lerch zeta function
• Mittag-Leffler function
• characteristic function
• completely monotonic function
• log-convex function
• Turán type inequality

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