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math-ph2019
- Extended oscillator algebra and -orthogonal polynomials
Fethi Bouzeffour, Wissem Jedidi
In this paper we first construct an analytic realization of the -extended oscillator algebra with the help of difference-differential operators. Secondly, we study families of…
math-ph2013
New addition formula for the little -Bessel functions
Fethi Bouzeffour
Starting from the addition formula for little -Jacobi polynomials, we derive a new addition formula for the little -Bessel functions. The result is obtained by the use of a l…