TURÁN TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS
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Publication:4931119
DOI10.1017/S000497271000002XzbMath1206.33007OpenAlexW2162290587MaRDI QIDQ4931119
Publication date: 4 October 2010
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s000497271000002x
Functional inequalities, including subadditivity, convexity, etc. (39B62) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items (30)
Monotonicity of the ratio of modified Bessel functions of the first kind with applications ⋮ Differential equation and inequalities of the generalized \(\mathtt{k}\)-Bessel functions ⋮ Monotonicity rules for the ratio of two Laplace transforms with applications ⋮ Turán determinants of Bessel functions ⋮ Sharp bounds for the ratio of modified Bessel functions ⋮ Spectral analysis of a generalized buckling problem on a ball ⋮ Convexity of ratios of the modified Bessel functions of the first kind with applications ⋮ Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind ⋮ Turán‐type inequalities for the supertrigonometric functions ⋮ Probabilistic and analytical aspects of the symmetric and generalized Kaiser-Bessel window function ⋮ Turán type inequalities for Tricomi confluent hypergeometric functions ⋮ Turań-type inequalities for two hypergeometric supertrigonometric functions associated with Kummer confluent hypergeometric series of first type ⋮ Modified Dini functions: monotonicity patterns and functional inequalities ⋮ Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications ⋮ Functional inequalities for the Wright functions ⋮ Bounds for functions involving ratios of modified Bessel functions ⋮ The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications ⋮ Functional inequalities for modified Bessel functions ⋮ Turán type inequalities for Krätzel functions ⋮ Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers ⋮ On Turán type inequalities for modified Bessel functions ⋮ Integrals of ratios of Fox-Wright and incomplete Fox-Wright functions with applications ⋮ Inequalities for modified Bessel functions and their integrals ⋮ The radius of starlikeness of normalized Bessel functions of the first kind ⋮ Universal bounds and monotonicity properties of ratios of Hermite and parabolic cylinder functions ⋮ Bounds for an integral involving the modified Struve function of the first kind ⋮ Scattering Resonances for a Two-Dimensional Potential Well with a Thick Barrier ⋮ Log-concavity for series in reciprocal gamma functions and applications ⋮ Bounds for Turánians of modified Bessel functions ⋮ Treatise on generalized Krätzel function
Cites Work
- Turán type inequalities for generalized complete elliptic integrals
- Functional inequalities involving Bessel and modified Bessel functions of the first kind
- A note on Turán type and mean inequalities for the Kummer function
- On Turán's inequality for Legendre polynomials
- Bessel functions and the infinite divisibility of the Student \(t\)-distribution
- An inequality for the Bessel functions of the first kind with imaginary argument
- Mills' ratio: Monotonicity patterns and functional inequalities
- A Turán-type inequality for the gamma function
- Inequalities for the generalized Marcum \(Q\)-function
- Monotonicity properties of determinants of special functions
- Identities and inequalities concerning orthogonal polynomials and Bessel functions
- Monotonicity of some modified Bessel function products
- Turán type inequalities for hypergeometric functions
- On a product of modified Bessel functions
- A Turán Inequality Arising in Information Theory
- The student t-distribution of any degree of freedom is infinitely divisible
- Monotonicity of the Zeros of a Cross-Product of Bessel Functions
- On an inequality of P. Turán concerning Legendre polynomials
- Bessel Function Approximations
- On inequalities of the Turán type
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