Results 191 to 200 of about 11,888,948 (254)

Bessel Functions

2023
The subject of Bessel functions is an old one. The earliest mention of these functions was dated October 3, 1703, when a series now described as a Bessel function of order 1/3 appeared in a letter from Jakob Bernoulli to Leibniz [(13) p. 356]. The Bessel coefficient of order zero occurred in 1732 in Daniel Bernoulli's memoir on the oscillations of ...
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Bessel Functions

1998
Abstract The German astronomer F. W. Bessel (1784-1846) first achieved fame by computing the orbit of Halley’s comet. In addition to many other accomplishments in connection with his studies of planetary motion, he is credited with deriving the differential equation bearing his name and carrying out the first systematic study of the ...
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A class of linear viscoelastic models based on Bessel functions

, 2016
In this paper we investigate a general class of linear viscoelastic models whose creep and relaxation memory functions are expressed in Laplace domain by suitable ratios of modified Bessel functions of contiguous order. In time domain these functions are
I. Colombaro, A. Giusti, F. Mainardi
semanticscholar   +1 more source

Error Bounds for the Large-Argument Asymptotic Expansions of the Hankel and Bessel Functions

Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2016
In this paper, we reconsider the large-argument asymptotic expansions of the Hankel, Bessel and modified Bessel functions and their derivatives. New integral representations for the remainder terms of these asymptotic expansions are found and used to ...
G. Nemes
semanticscholar   +1 more source

On infinite series concerning zeros of Bessel functions of the first kind

, 2016
.A relevant result independently obtained by Rayleigh and Sneddon on an identity on series involving the zeros of Bessel functions of the first kind is derived by an alternative method based on Laplace transforms. Our method leads to a Bernstein function
A. Giusti, F. Mainardi
semanticscholar   +1 more source

Application of generalized Bessel functions to classes of analytic functions

Afrika Matematika, 2020
B. Frasin, F. Yousef, T. Al-Hawary, I. Aldawish   +3 more
semanticscholar   +1 more source

A Treatise on the Theory of Bessel Functions

Nature, 1945
L. Milne‐Thomson
semanticscholar   +1 more source

Numerical Technique for Solving Fractional Generalized Pantograph-Delay Differential Equations by Using Fractional-Order Hybrid Bessel Functions

, 2020
Haniye Dehestani, Y. Ordokhani, M. Razzaghi   +2 more
semanticscholar   +1 more source

Bessel Functions

1966
Wilhelm Magnus, Fritz Oberhettinger, Raj Pal Soni   +2 more
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Bessel Function Approximations

American Journal of Mathematics, 1950
Phillips, R. S., Malin, Henry
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