Convexity and Monotonicity Involving the Complete Elliptic Integral of the First Kind
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mathematics (miscellaneous)
Link
https://link.springer.com/content/pdf/10.1007/s00025-022-01799-x.pdf
Reference43 articles.
1. Alzer, H.: Sharp inequalities for the complete elliptic integral of the first kind. Math. Proc. Camb. Phil. Soc. 124(2), 309–314 (1998)
2. Alzer, H., Qiu, S.-L.: Monotonicity theorems and inequalities for the complete elliptic integrals. J. Comput. Appl. Math. 172, 289–312 (2004)
3. Alzer, H., Richards, K.C.: A concavity property of the complete elliptic integral of the first kind. Int. Transf. Spec. Funct. 31(9), 758–768 (2020)
4. Anderson, G.D., Vamanamurthy, M.K., Vuorinen, M.: Functional inequalities for complete elliptic integrals and their ratios. SIAM J. Math. Anal. 21, 536–549 (1990)
5. Anderson, G.D., Vamanamurthy, M.K., Vuorinen, M.: Functional inequalities for hypergeometric functions and complete elliptic integrals. SIAM J. Math. Anal. 23(2), 512–524 (1992)
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