scholarly journals Conformal equivalence of measures and dynamics of orthogonal polynomials

2019 ◽  
Vol 25 (8) ◽  
pp. 1063-1081
Author(s):  
Signe Emalia Jensen ◽  
Carsten Lunde Petersen



2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Rabia Aktaş ◽  
Iván Area ◽  
Esra Güldoğan


Author(s):  
Giacomo Ascione ◽  
Nikolai Leonenko ◽  
Enrica Pirozzi

AbstractIn this paper, we study strong solutions of some non-local difference–differential equations linked to a class of birth–death processes arising as discrete approximations of Pearson diffusions by means of a spectral decomposition in terms of orthogonal polynomials and eigenfunctions of some non-local derivatives. Moreover, we give a stochastic representation of such solutions in terms of time-changed birth–death processes and study their invariant and their limit distribution. Finally, we describe the correlation structure of the aforementioned time-changed birth–death processes.



IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 59675-59691
Author(s):  
Kundan Kumar ◽  
Shovan Bhaumik ◽  
Paresh Date




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