On the zeros of Bessel functions. - IV

1978 ◽  
Vol 21 (15) ◽  
pp. 531-534 ◽  
Author(s):  
S. Ahmed ◽  
F. Calogero
Keyword(s):  
Bessel Functions ◽  
Zeros Of Bessel Functions

On the Square of the Zeros of Bessel Functions

1984 ◽  
Vol 15 (1) ◽  
pp. 206-212 ◽  
Author(s):  
Árpád Elbert ◽  
Andrea Laforgia
Keyword(s):  
Bessel Functions ◽  
Zeros Of Bessel Functions

On the Convexity of the Zeros of Bessel Functions

1985 ◽  
Vol 16 (3) ◽  
pp. 614-619 ◽  
Author(s):  
Árpád Elbert ◽  
Andrea Laforgia
Keyword(s):  
Bessel Functions ◽  
Zeros Of Bessel Functions

scholarly journals Higher monotonicity properties and inequalities for zeros of Bessel functions

1991 ◽  
Vol 112 (2) ◽  
pp. 513-513 ◽  
Author(s):  
Laura Nicol{ò-Amati Gori ◽  
Andrea Laforgia ◽  
Martin E. Muldoon
Keyword(s):  
Bessel Functions ◽  
Zeros Of Bessel Functions ◽  
Monotonicity Properties

scholarly journals The zeros of bessel functions.

1918 ◽  
Vol 94 (659) ◽  
pp. 190-206 ◽  
Keyword(s):  
Bessel Function ◽  
Bessel Functions ◽  
Practical Importance ◽  
Zeros Of Bessel Functions ◽  
Order Of Magnitude ◽  
Low Order

1. Although many results are known concerning the zeros of Bessel functions,* the greater number of these results are of practical importance only in the case of functions of comparatively low order. For example, McMahon has given a formula† for calculating the zeros of the Bessel function J n ( x ), namely that, if k 1 , k 2 , k 3 , ..., are the positive zeros arranged in ascending order of magnitude, then ks = β- 4 n 2 -1/8β - 4(4 n 2 -1)(28 n 2 -31)/3.(8β) 3 -..., where β = 1/4 π (2 n +4 s —1).

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