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Reed, M. and Simon, B. (1980) Functional Analysis, Methods of Modern Mathematical Physics. Vol. 1. Academic Press, INC., London.

has been cited by the following article:

• TITLE: On the Extension of the Three-Term Recurrence Relation to Probabilities Distributions without Moments

  AUTHORS: Habib Rebei, Anis Riahi

  KEYWORDS: Three-Term Recurrence Relation, Quantum Decomposition of Random Variables Without Moments, Lévy-Khintchine Function

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.3, March 28, 2018

  ABSTRACT: In this paper, we extend the three-term recurrence relation for orthogonal polynomials associated with a probability distribution having a finite moment of all orders to a class of orthogonal functions associated with an infinitely divisible probability distribution µhaving a finite moments of order less or equal to four. An explicit expression of these functions will be given in term of the Lévy-Khintchine function of the measureµ.