scholarly journals LINEAR DIFFERENTIAL AND RECURRENCE EQUATIONS IN TECHNICAL UNIVERSITY

2019 ◽  
pp. 134-141
Author(s):  
A.V. Morozov
Keyword(s):  
Recurrence Equations ◽  
Technical University ◽  
Linear Differential

scholarly journals D-finite numbers

2018 ◽  
Vol 14 (07) ◽  
pp. 1827-1848
Author(s):  
Hui Huang ◽  
Manuel Kauers
Keyword(s):  
Complex Numbers ◽  
Algebraic Numbers ◽  
Recurrence Equations ◽  
Polynomial Coefficients ◽  
Recursive Sequences ◽  
Linear Differential ◽  
Definition Of ◽  
Mathematical Constants

D-finite functions and P-recursive sequences are defined in terms of linear differential and recurrence equations with polynomial coefficients. In this paper, we introduce a class of numbers closely related to D-finite functions and P-recursive sequences. It consists of the limits of convergent P-recursive sequences. Typically, this class contains many well-known mathematical constants in addition to the algebraic numbers. Our definition of the class of D-finite numbers depends on two subrings of the field of complex numbers. We investigate how different choices of these two subrings affect the class. Moreover, we show that D-finite numbers are essentially limits of D-finite functions at the point one, and evaluating D-finite functions at non-singular algebraic points typically yields D-finite numbers. This result makes it easier to recognize certain numbers to be D-finite.

INNOVATIVE TEACHING TECHNOLOGIES AT THE TECHNICAL UNIVERSITY

Fitoterapia ◽  
2019 ◽  
Vol 2 (2) ◽  
pp. 57-58
Author(s):  
I. V. Pushchina ◽  
◽  
J. A. Maliarenko ◽  
A. A. Kovalova ◽  
O. V. Kovalova ◽  
...  
Keyword(s):  
Innovative Teaching ◽  
Technical University
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