Results 91 to 100 of about 496,864 (207)

On the Computation of Modified Bessel Function Ratios [PDF]

Mathematics of Computation, 1978
A detailed comparison is made between a continued fraction of Gauss, and one of Perron, for the evaluation of ratios of modified Bessel functions I v ( x ) / I v − 1
Gautschi, Walter, Slavik, Josef
openaire   +2 more sources

Transient free convection flow past vertical cylinder with constant heat flux and mass transfer

Ain Shams Engineering Journal, 2017
This paper describes a one dimensional unsteady natural convection flow past an infinite vertical cylinder with heat and mass transfer under the effect of constant heat flux at the surface of the cylinder.
Rudra Kanta Deka, Ashish Paul, Arun Chaliha   +2 more
doaj   +1 more source

Special Functions of Mathematical Physics: A Unified Lagrangian Formalism

Mathematics, 2020
Lagrangian formalism is established for differential equations with special functions of mathematical physics as solutions. Formalism is based on either standard or non-standard Lagrangians.
Zdzislaw E. Musielak, Niyousha Davachi, Marialis Rosario-Franco   +2 more
doaj   +1 more source

A note on the asymptotics of the modified Bessel functions on the Stokes lines [PDF]

, 2017
We employ the exponentially improved asymptotic expansions of the confluent hypergeometric functions on the Stokes lines discussed by the author [Appl. Math. Sci. 7 (2013) 6601–6609] to give the analogous expansions of the modified Bessel functions Iν(z)
Paris, R. B.
core  

Exact bidirectional X-wave solutions in fiber Bragg gratings

, 2017
We find exact solutions describing bidirectional pulses propagating in fiber Bragg gratings. They are derived by solving the coupled-mode theory equations and are expressed in terms of products of modified Bessel functions with algebraic functions ...
Christodoulides, Demetrios N., Efremidis, Nikolaos K., Nye, Nicholas S.   +2 more
core   +1 more source

Extension of Oppenheim's Problem to Bessel Functions

Journal of Inequalities and Applications, 2007
Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Zhu Ling, Baricz Árpád
doaj  

Uniform bounds for expressions involving modified Bessel functions [PDF]

, 2013
In this paper, we obtain uniform bounds for a number of expressions that involve derivatives and integrals of modified Bessel functions. These uniform bounds are motivated by the need to bound such expressions in the study of variance-gamma and product ...
Robert E. Gaunt
semanticscholar   +1 more source

Some special functions and cylindrical diffusion equation on α-time scale

Demonstratio Mathematica
This article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu, Tuncer Zehra, Gergün Seçil, Yantir Ahmet   +3 more
doaj   +1 more source

Integral Involving Bessel Functions Arising in Propagation Phenomena

Mathematics, 2019
An new integral identity involving the product of two modified Bessel functions K 0 and K 1 , previously unreported, is presented and proved.
Yuri L. Ratis, Pedro Fernández de Córdoba, José María Isidro, Ramón Jaime   +3 more
doaj   +1 more source

Computation of potentials from current electrodes in cylindrically stratified media: A stable, rescaled semi-analytical formulation

, 2014
We present an efficient and robust semi-analytical formulation to compute the electric potential due to arbitrary-located point electrodes in three-dimensional cylindrically stratified media, where the radial thickness and the medium resistivity of each ...
Donderici, Burkay, Moon, Haksu, Teixeira, Fernando L.   +2 more
core   +1 more source