Magnetogravitational stability of a bounded gas-core fluid jet

Radwan, Ahmed E.; Dimian, M. F.; Hadhoda, M. Kh.

doi:10.1016/j.apenergy.2006.01.005

Cited by 3 publications

(1 citation statement)

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“…The monotonicity of P ν for ν > 1 is used (without proof) in some papers about the hydrodynamic and hydromagnetic instability of different cylindrical models. See for example [50,51]. See also the paper of Hasan [28], where the electrogravitational instability of onoscillating streaming fluid cylinder under the action of the selfgravitating, capillary and electrodynamic forces has been discussed.…”

Section: Turán Type Inequalities For Modified Bessel Functionsmentioning

confidence: 99%

Bounds for Turánians of modified Bessel functions

Baricz

2015

Expositiones Mathematicae

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Abstract. Motivated by some applications in applied mathematics, biology, chemistry, physics and engineering sciences, new tight Turán type inequalities for modified Bessel functions of the first and second kind are deduced. These inequalities provide sharp lower and upper bounds for the Turánian of modified Bessel functions of the first and second kind, and in most cases the relative errors of the bounds tend to zero as the argument tends to infinity. The chief tools in our proofs are some ideas of Gronwall [20] on ordinary differential equations, an integral representation of Ismail [29,30] for the quotient of modified Bessel functions of the second kind and some results of Hartman and Watson [25,27,62]. As applications of the main results some sharp Turán type inequalities are presented for the product of modified Bessel functions of the first and second kind and it is shown that this product is strictly geometrically concave.

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Section: Turán Type Inequalities For Modified Bessel Functionsmentioning

confidence: 99%