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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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Inequalities for the Zeros of Bessel Functions

SIAM Journal on Mathematical Analysis, 1977
Let $j_{p,n} $, $j'_{p,n} $ denote the nth positive zeros of $J_p $, $J'_p $ respectively. It is shown that both $p^{ - 1} j_{p,n} $ and $p^{ - 1} j'_{p,n} $ are strictly decreasing functions of p.
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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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Exponentials and Bessel Functions

The Fibonacci Quarterly, 1976
Davis, Bro. Basil, Hoggatt, V. E. jun.
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Bessel Functions

1966
Wilhelm Magnus   +2 more
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Bessel Function Approximations

American Journal of Mathematics, 1950
Phillips, R. S., Malin, Henry
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A Series of Bessel Functions

SIAM Review, 1995
Norbert Ortner, Peter Wagner
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Several Characterizations of Bessel Functions and Their Applications

Georgian Mathematical Journal, 2022
Tabinda Nahid, Mahvish Ali
exaly  

The Integration of Bessel Functions

IMA Journal of Applied Mathematics, 1968
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