Spherical bessel functions jn and yn of integer order and real argument

1984 ◽  
Vol 35 ◽  
pp. C-466
Author(s):  
R.W.B. Ardill ◽  
K.J.M. Moriarty
Keyword(s):  
Bessel Functions ◽  
Integer Order ◽  
Real Argument

scholarly journals Legendre polynomials in irrationality proofs

1980 ◽  
Vol 22 (3) ◽  
pp. 431-438 ◽  
Author(s):  
F. Beukers
Keyword(s):  
Legendre Polynomials ◽  
Bessel Functions ◽  
Integer Order ◽  
Zeros Of Bessel Functions

It is shown that a simple trick involving Legendre polynomials readily yields the irrationality of ea, , π2, and of the zeros of Bessel functions of integer order. Generalisation of this idea yields the irrationality of ζ(3).

The Bessel Functions J n (x) of Integer Order

2008 ◽  
pp. 537-552
Author(s):  
Keith B. Oldham ◽  
Jan C. Myland ◽  
Jerome Spanier
Keyword(s):  
Bessel Functions ◽  
Integer Order

Summation of Series over Bourget Functions

2008 ◽  
Vol 51 (4) ◽  
pp. 627-636
Author(s):  
Mirjana V. Vidanović ◽  
Slobodan B. Tričković ◽  
Miomir S. Stanković
Keyword(s):  
Closed Form ◽  
Infinite Series ◽  
Bessel Functions ◽  
Integer Order ◽  
Summation Of Series ◽  
Finite Sums ◽  
Riemann Ζ Function

AbstractIn this paper we derive formulas for summation of series involving J. Bourget's generalization of Bessel functions of integer order, as well as the analogous generalizations by H. M. Srivastava. These series are expressed in terms of the Riemann ζ function and Dirichlet functions η, λ, β, and can be brought into closed form in certain cases, which means that the infinite series are represented by finite sums.

scholarly journals CHARGED ANALOGUE OF FINCH–SKEA STARS

2006 ◽  
Vol 15 (08) ◽  
pp. 1311-1327 ◽  
Author(s):  
S. HANSRAJ ◽  
S. D. MAHARAJ
Keyword(s):  
Bessel Functions ◽  
Realistic Model ◽  
Physical Analysis ◽  
Elementary Functions ◽  
Interior Space ◽  
Gravitational Fields ◽  
Integer Order ◽  
Half Integer ◽  
Barotropic Equation ◽  
Physical Features

We present solutions to the Einstein–Maxwell system of equations in spherically symmetric gravitational fields for static interior space–times with a specified form of the electric field intensity. The condition of pressure isotropy yields three category of solutions. The first category is expressible in terms of elementary functions and does not have an uncharged limit. The second category is given in terms of Bessel functions of half-integer order. These charged solutions satisfy a barotropic equation of state and contain Finch–Skea uncharged stars. The third category is obtained in terms of modified Bessel functions of half-integer order and does not have an uncharged limit. The physical features of the charged analogue of the Finch–Skea stars are studied in detail. In particular, the condition of causality is satisfied and the speed of sound does not exceed the speed of light. The physical analysis indicates that this analogue is a realistic model for static charged relativistic perfect fluid spheres.

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