We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete p-elliptic integrals.

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In the article, we provide several new asymptotical sharp bounds for the functions involving the Beta function and Ramanujan R -functions via the monotonicity and convexity properties of certain combinations defined in terms of polynomials, Beta and Ramanujan Rfunctions.

We provide the monotonicity and convexity properties and sharp bounds for the generalized elliptic integrals and depending on a parameter , which contains an earlier result in the particular case .