Turán type inequalities for generalized complete elliptic integrals

By 'Arp'ad Baricz. 2007

108 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/1763842f3c70fa7ac5260274f8b9ee18ffcd857a

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In Applied Mathematics

In Geometry and Topology

Citations in the corpus

A note on Turán type and mean inequalities for the Kummer function (2009, background): “Baricz [3,5] regarding the Gaussian hypergeometric function 2 F1.”
Refinements, Generalizations, and Applications of Jordan's Inequality and Related Problems (2009, background): “It was pointed in [11] that the right-hand side inequality in (10.”
Generalized Elliptic Integrals (2007, result): “The manuscript [HLVV] is a direct continuation of this work and for some particular parameter triples (a,b,c) there are very recent results by many authors [B1]-[ B4 ], [KS], [WZQC], [ZWC].”
Mills' ratio: Monotonicity patterns and functional inequalities (2008, background): “For more information about this the interested reader is referred to the papers of the author [5,6] as well as to the work of A.”
Bounds for modified Bessel functions of the first and second kinds (2010, background): “For more details on Turán-type inequalities on Bessel, modified Bessel and hypergeometric functions and related results, the interested reader is referred to [11,14,15,18,54].”
Hölder mean inequalities for the complete elliptic integrals (2012, background): “In particular, many remarkable properties and inequalities for K and E can be found in the literature [1,3,4,7,10,12,17,23,27,28,30].”
On a product of modified Bessel functions (2008, background): “For more details on Turán type inequalities the interested reader is referred to the papers [2], [3], [4], [5], [8], [9], [10], [15] and to the references therein.”
Convexity and monotonicity for elliptic integrals of the first kind and applications (2017, background): “Some of new generalizations can be found in [30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40].”
Functional inequalities involving Bessel and modified Bessel functions of the first kind (2008, unknown): “MSC 2000: 33C10; 33C15; 26D05 Keywords: Bessel functions; Modified Bessel functions; Kummer’s hypergeometric functions; Turán-type inequality; Lazarević-type inequality; Wilker’s inequality”