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Journal of difference equations and applications, ISSN 1563-5120, 2017, Volume 24, Issue 3, pp. 425 - 437
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2011, Volume 374, Issue 2, pp. 516 - 528
New sharp inequalities for the ratios of Bessel functions of consecutive orders are obtained using as main tool the first order difference-differential equations satisfied by these functions... 
Riccati equation | Modified Bessel functions | Condition numbers | Bounds | Turán-type inequalities | MATHEMATICS | MATHEMATICS, APPLIED | FORM | PRODUCT | MONOTONICITY | Turan-type inequalities | VECTORS
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 07/2013, Volume 33, Issue 3, pp. 1048 - 1062
A Green's-function-based solver for the modified Bessel equation has been developed with the primary motivation of solving the Poisson and biharmonic equations in cylindrical geometries... 
biharmonic equation | Poisson equation | modified Bessel function | MATHEMATICS, APPLIED | SOLVER | ALGORITHM | Permissible error | Interpolation | Computation | Mathematical analysis | Decay | Solvers | Mathematical models | Bessel functions
Journal Article
Thermal Science, ISSN 0354-9836, 2018, Volume 22, Issue Suppl. 1, pp. S203 - S209
In thermal sciences, it is possible to encounter topics such as Bessel beams, Bessel functions or Bessel equations... 
Discrete fractional calculus | Modified Bessel equation | Nabla operator | modified Bessel equation | nabla operator | THERMODYNAMICS | discrete fractional calculus
Journal Article
ACTA POLYTECHNICA HUNGARICA, ISSN 1785-8860, 2019, Volume 16, Issue 5, pp. 63 - 69
... the solution of a fourth-order linear homogeneous Bessel-type differential equation. Moreover, we point out that an inequality by Ashbaugh and Benguria as well... 
contour integral | ENGINEERING, MULTIDISCIPLINARY | Hankel integral | Lagrange multipliers | asymptotics | fourth order differential equation | Bessel functions | modified Bessel functions | Wronski determinant
Journal Article
Nonlinearity, ISSN 1361-6544, 2016, Volume 29, Issue 12, pp. 3857 - 3870
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2014, Volume 142, Issue 6, pp. 2019 - 2025
Journal Article
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 09/2018, Volume 124, pp. 74 - 82
....•The modified Bessel equation of zero order is transformed into a Cauchy-Euler equation.•Temperatures and heat transfer rates can be easily evaluated with high degrees of accuracy... 
Transformed Cauchy-Euler equation | Approximate | Analytical temperatures and heat transfer rates of excellent quality | Modified Bessel equation of zero order | Rectangular annular fins | MECHANICS | THERMODYNAMICS | Analytical temperatures and heat transfer | rates of excellent quality | ENGINEERING, MECHANICAL | Mechanical engineering
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 12/2015, Volume 26, Issue 12, pp. 939 - 955
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 01/2016, Volume 305, pp. 217 - 243
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 09/2015, Volume 259, Issue 5, pp. 1967 - 1989
...⁎(∞). For our purpose the solutions to the model are formulated in the form of integral equations involving modified Bessel functions, for which new asymptotic estimates are provided. To the best of our knowledge, this is the first time that the classical Bessel functions are used to describe the solutions of lattice differential equations, and this approach possesses its own interest in further studying lattice differential equations. 
Persistence | Lattice differential equation | Modified Bessel function | Spreading speed | EXISTENCE | SPEEDS | FAILURE | TRAVELING-WAVES | MATHEMATICS | SYSTEMS | ADVANCE | PROPAGATION | VEGETATION | Analysis | Differential equations
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 2/2013, Volume 141, Issue 2, pp. 523 - 532
In this note our aim is to point out that certain inequalities for modified Bessel functions of the first and second kind, deduced recently by Laforgia and Natalini, are in fact equivalent to the corresponding... 
Modified Bessel functions | Completely monotonic functions | Turán-type inequalities | MATHEMATICS | ORDER | MATHEMATICS, APPLIED | PULSE DYNAMICS | completely monotonic functions | PRODUCTS | 3-COMPONENT SYSTEM | MONOTONICITY | Turan-type inequalities | 1ST KIND | ZEROS
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2018, Volume 462, Issue 1, pp. 172 - 190
Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind... 
Modified Bessel function | Integral | Inequality | RATIOS | MATHEMATICS | STEINS METHOD | MATHEMATICS, APPLIED | SEQUENCES | BOUNDS | PRODUCT
Journal Article
Mathematical and Computer Modelling, ISSN 0895-7177, 03/2013, Volume 57, Issue 5-6, pp. 1298 - 1311
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2016, Volume 443, Issue 2, pp. 1232 - 1246
The bounds for the ratios of first and second kind modified Bessel functions of consecutive orders are important quantities appearing in a large number of scientific applications... 
Modified Bessel functions | Bounds | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
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