content_image/368507.jpg content_image/368506.jpg content_image/368508.jpg content_image/368505.jpg content_image/368504.jpg
with 0 < y < 1 and consider the discontinuity 6 

<img src='content_image/368507.jpg'>

Employing the Rodriguez formula for the Gegenbauer polynomials C 5 2 $_{n}$( z ) [46]: 

<img src='content_image/368506.jpg'>

one can derive the following basic relation 

<img src='content_image/368508.jpg'>

Now being based on the result (A4) we introduce the function 

<img src='content_image/368505.jpg'>

whose discontinuity at z = x reads 

<img src='content_image/368504.jpg'>

The asterisk in the sum in (A6) denotes that for ν = 0 the terms with l = 0 and l = 1 are actually absent. 

6 The discontinuity of the function f ( z ) is defined as disc z = x f ( z ) = 1 2 πi ( f ( x − i 0) − f ( x + i 0)) = 1 $_{π}$Im f ( x − i 0) 

