scholarly journals Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials

1988 ◽  
pp. 46-72 ◽  
Author(s):  
Tom H. Koornwinder
Keyword(s):  
Orthogonal Polynomials

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

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

scholarly journals A new family of orthogonal polynomials in three variables

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

scholarly journals Non-local Solvable Birth–Death Processes

2021 ◽  
Author(s):  
Giacomo Ascione ◽  
Nikolai Leonenko ◽  
Enrica Pirozzi
Keyword(s):  
Differential Equations ◽  
Orthogonal Polynomials ◽  
Limit Distribution ◽  
Spectral Decomposition ◽  
Strong Solutions ◽  
Stochastic Representation ◽  
Discrete Approximations ◽  
Local Difference ◽  
Non Local ◽  
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 ◽  
2021 ◽  
Vol 9 ◽  
pp. 59675-59691
Author(s):  
Kundan Kumar ◽  
Shovan Bhaumik ◽  
Paresh Date
Keyword(s):  
Kalman Filter ◽  
Orthogonal Polynomials ◽  
Extended Kalman Filter

Cλ-Extended Oscillator Algebra and d-Orthogonal Polynomials

2021 ◽  
Author(s):  
Fethi Bouzeffour ◽  
Wissem Jedidi
Keyword(s):  
Orthogonal Polynomials ◽  
Oscillator Algebra
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