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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 89, 2017 - Issue 6-7: Proceedings of the Hammamet Conference, 19-23 October 2015
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Articles

Jacobi sequences of squares of random variables

Luigi AccardiCentro Vito Volterra, Università di Roma Tor Vergata, Roma, Italy.View further author information
,
Abdessatar BarhoumiDepartment of Mathematics, Nabeul Preparatory Engineering Institute, University of Carthage, Nabeul, Tunisia.View further author information
&
Mohamed RhaimaFaculty of Sciences of Tunis, Department of Mathematics, University of Tunis El-Manar, Tunis, Tunisia.Correspondence[email protected]
View further author information
Pages 868-882 | Received 03 Oct 2016, Accepted 07 Oct 2016, Published online: 03 Nov 2016

References

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  • L. Accardi, H.-H. Kuo, and A.I. Stan, Characterization of probability measures through the canonically associated interacting Fock spaces, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7(4) (2004), pp. 485–505.
  • L. Accardi, H.-H. Kuo, and A.I. Stan, Probability measures in terms of creation, annihilation and neutral operators, Quantum Probab. Infin. Dimens. Anal. 18 (2005), pp. 1–11.
  • L. Accardi, H.-H. Kuo, and A.I. Stan, Moments and commutators of probability measures, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10 (4) (2007), pp. 591–612.
  • T.S. Chihara, An Introduction to Orthogonal Polynomials, Gordon & Breach, New York, 1978.
  • A. Erdely, W. Magnus, F. Oberhettinger, and F.F. Tricomi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York, 1953.
  • A. Hora and N. Obata, Quantum Probability and Spectral Analysis of Graphs, Theoretical and Mathematical Physics, Springer, Berlin, 2007.
  • N.N. Lebedev, Special Functions and their Applications, Prentice-Hall, Englewood Cliffs, NJ, 1965.

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