Symmetries and continuous đť‘ž-orthogonal polynomials

10.1090/crmp/022/07 â—˝  
1999 â—˝  
pp. 135-144 â—˝  
Author(s):  
Roberto Floreanini â—˝  
Jean LeTourneux â—˝  
Luc Vinet
Keyword(s):  
Orthogonal Polynomials

Hydroelastic analysis of a ship with forward speed using orthogonal polynomials as mode functions of timoshenko beam

2021 â—˝  
Vol 112 â—˝  
pp. 102696
Author(s):  
Yang Hong â—˝  
Kyeonguk Heo â—˝  
Masashi Kashiwagi
Keyword(s):  
Orthogonal Polynomials â—˝  
Timoshenko Beam â—˝  
Forward Speed â—˝  
Hydroelastic Analysis

scholarly journals A new family of orthogonal polynomials in three variables

2020 â—˝  
Vol 2020 (1) â—˝  
Author(s):  
Rabia Aktaş â—˝  
Iván Area â—˝  
Esra Güldoğan
Keyword(s):  
Orthogonal Polynomials â—˝  
New Family

scholarly journals Non-local Solvable Birth–Death Processes

2021 â—˝  
Author(s):  
Giacomo Ascione â—˝  
Nikolai Leonenko â—˝  
Enrica Pirozzi
Keyword(s):  
Differential Equations â—˝  
Orthogonal Polynomials â—˝  
Limit Distribution â—˝  
Spectral Decomposition â—˝  
Strong Solutions â—˝  
Stochastic Representation â—˝  
Discrete Approximations â—˝  
Local Difference â—˝  
Non Local â—˝  
Birth Death

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.

scholarly journals Extended Kalman Filter Using Orthogonal Polynomials

IEEE Access â—˝  
2021 â—˝  
Vol 9 â—˝  
pp. 59675-59691
Author(s):  
Kundan Kumar â—˝  
Shovan Bhaumik â—˝  
Paresh Date
Keyword(s):  
Kalman Filter â—˝  
Orthogonal Polynomials â—˝  
Extended Kalman Filter
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