On Series of Orthogonal Polynomials and Systems of Classical Type Polynomials

2021 ◽  
Vol 73 (6) ◽  
pp. 930-943
Author(s):  
S. M. Zagorodnyuk
Keyword(s):  
Orthogonal Polynomials ◽  
Classical Type

Differential Equation for Classical-Type Orthogonal Polynomials

1989 ◽  
Vol 32 (4) ◽  
pp. 404-411 ◽  
Author(s):  
A. Ronveaux ◽  
F. Marcellan
Keyword(s):  
Differential Equation ◽  
Orthogonal Polynomials ◽  
Arbitrary Number ◽  
Order Differential Equation ◽  
Second Order ◽  
Classical Type ◽  
Dirac Mass ◽  
Second Order Differential Equation

AbstractThe second order differential equation of Littlejohn-Shore for Laguerre type orthogonal polynomials is generalized in two ways. First the positive Dirac mass can be situated at any point and secondly the weight can be any classical weight modified by an arbitrary number of Dirac distributions.

scholarly journals Characterization of classical type orthogonal polynomials

1994 ◽  
Vol 120 (2) ◽  
pp. 485-485 ◽  
Author(s):  
K. H. Kwon ◽  
L. L. Littlejohn ◽  
J. K. Lee ◽  
B. H. Yoo
Keyword(s):  
Orthogonal Polynomials ◽  
Classical Type

Dynamics of the morphometric indices of the subretinal neovascular membranes of the classical type after photodynamic therapy

2009 ◽  
Vol 4 (20) ◽  
pp. 5-7
Author(s):  
N. Pasechnikova ◽  
◽  
V. Naumenko ◽  
A. Korol ◽  
O. Zadorozhnyy ◽  
...  
Keyword(s):  
Photodynamic Therapy ◽  
Classical Type

A form of Autoimmune Diabetes in Adults Named LADA – An Update on Essential Features and Controversies

2019 ◽  
Vol 15 (3) ◽  
pp. 172-173 ◽  
Author(s):  
Valdemar Grill ◽  
Bjørn O. Åsvold
Keyword(s):  
Genetic Background ◽  
Clinical Utility ◽  
Autoimmune Diabetes ◽  
Classical Type ◽  
Phenotypic Characteristics ◽  
Latent Autoimmune Diabetes ◽  
The Impact

Latent Autoimmune Diabetes in the Adult, LADA has been investigated less than “classical” type 1 and type 2 diabetes and the criteria for and the relevance of a LADA diagnosis has been challenged. Despite the absence of a genetic background that is exclusive to LADA, this form of diabetes displays phenotypic characteristics that distinguish it from other forms of diabetes. LADA is heterogeneous in terms of the impact of autoimmunity and lifestyle factors, something that poses problems as to therapy and follow-up perhaps particularly in those with marginal positivity. Yet, there appears to be clear clinical utility in classifying individuals as LADA.

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