Remarks on generalized elliptic integrals
X Zhang, G Wang, Y Chu - Proceedings of the Royal Society of …, 2009 - cambridge.org
X Zhang, G Wang, Y Chu
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2009•cambridge.org… We study the monotonicity for certain combinations of generalized elliptic integrals, thus
generalizing analogous well-known results for classical complete elliptic integrals, and
prove a conjecture put forward by Heikkala, Vamanamurthy and Vuorinen. … Remark 1.4.
As pointed out by the referee, theorem 1.3 is essentially [11, 3.6(4)], which has an additional
restriction c ⩽ 1. From the proof, we can see this additional restriction is not necessary. …
They are indebted to the referee for helpful comments which improved the paper. …
generalizing analogous well-known results for classical complete elliptic integrals, and
prove a conjecture put forward by Heikkala, Vamanamurthy and Vuorinen. … Remark 1.4.
As pointed out by the referee, theorem 1.3 is essentially [11, 3.6(4)], which has an additional
restriction c ⩽ 1. From the proof, we can see this additional restriction is not necessary. …
They are indebted to the referee for helpful comments which improved the paper. …
We study the monotonicity for certain combinations of generalized elliptic integrals, thus generalizing analogous well-known results for classical complete elliptic integrals, and prove a conjecture put forward by Heikkala, Vamanamurthy and Vuorinen.
Cambridge University Press