Results 71 to 80 of about 496,864 (207)
Bounds for the product of modified Bessel functions [PDF]
In this note our aim is to present some monotonicity properties of the product of modified Bessel functions of the first and second kind. Certain bounds for the product of modified Bessel functions of the first and second kind are also obtained.
Á. Baricz +3 more
semanticscholar +1 more source
Products of Bessel and modified Bessel functions
37 pages, 1 ...
Baricz, Árpád +2 more
openaire +2 more sources
Transient free convection flow past an accelerated vertical cylinder in a rotating fluid
The flow of a viscous incompressible fluid past an accelerated vertical circular cylinder in a rotating fluid is analyzed in this study. The cylinder starts impulsively from rest with uniform acceleration in its own plane relative to the rotating fluid ...
Rudra Kanta Deka +2 more
doaj +1 more source
Exact vortex solutions of the complex sine-Gordon theory on the plane
We construct explicit multivortex solutions for the first and second complex sine-Gordon equations. The constructed solutions are expressible in terms of the modified Bessel and rational functions, respectively.
Barashenkov +13 more
core +1 more source
On the characterization properties of certain hypergeometric functions in the open unit disk
Our purpose in the present investigation is to study certain geometric properties such as the close-to-convexity, convexity, and starlikeness of the hypergeometric function z 1 F 2 ( a ; b , c ; z ) $z{}_{1}F_{2}(a;b,c;z)$ in the open unit disk.
Deepak Bansal +3 more
doaj +1 more source
Mehler-Heine asymptotics for multiple orthogonal polynomials
Mehler-Heine asymptotics describe the behavior of orthogonal polynomials near the edges of the interval where the orthogonality measure is supported. For Jacobi polynomials and Laguerre polynomials this asymptotic behavior near the hard edge involves ...
Van Assche, Walter
core +1 more source
Inequalities for modified Bessel functions and their integrals [PDF]
Simple inequalities for some integrals involving the modified Bessel functions I ν ( x ) and K ν ( x ) are established. We also obtain a monotonicity result for K ν ( x ) and a new lower bound, that involves gamma functions, for K 0 ( x ) .
Robert E. Gaunt
semanticscholar +1 more source
The velocity field and shear stress for unsteady flow of a second grade fluid with fractional derivatives through an infinite long circular cylinder are evaluated.
Nauman Raza +4 more
doaj +1 more source
On generalized Bessel–Maitland function
An approach to the generalized Bessel–Maitland function is proposed in the present paper. It is denoted by J ν , λ μ $\mathcal{J}_{\nu , \lambda }^{\mu }$ , where μ > 0 $\mu >0$ and λ , ν ∈ C $\lambda ,\nu \in \mathbb{C\ }$ get increasing interest from ...
Hanaa M. Zayed
doaj +1 more source
Lebedev's type index transforms with the modified Bessel functions [PDF]
New index transforms of the Lebedev type are investigated. It involves the real part of the product of the modified Bessel functions as the kernel.
Yakubovich, Semyon
core +1 more source

