Zobrazeno 1 - 10
of 284
pro vyhledávání: '"39A06"'
Autor:
Zemánek, Petr
Publikováno v:
Linear Algebra Appl. 634 (2022), 179--209
The spectrum of an arbitrary self-adjoint extension of the minimal linear relation associated with the discrete symplectic system in the limit point case is completely characterized by using the limiting Weyl--Titchmarsh $M_+(\lambda)$-function. Furt
Externí odkaz:
http://arxiv.org/abs/2412.16756
Autor:
Zemánek, Petr
Publikováno v:
J. Math. Anal. Appl. {\bf 499} (2021), no. 2, article 125054
Eigenfunctions expansion for discrete symplectic systems on a finite discrete interval is established in the case of a general linear dependence on the spectral parameter as a significant generalization of the Expansion theorem given by Bohner, Do\v{
Externí odkaz:
http://arxiv.org/abs/2412.16752
Autor:
Zemánek, Petr
The Friedrichs extension of minimal linear relation being bounded below and associated with the discrete symplectic system with a special linear dependence on the spectral parameter is characterized by using recessive solutions. This generalizes a si
Externí odkaz:
http://arxiv.org/abs/2412.16096
In this paper, we study a class of orthogonal polynomials defined by a three-term recurrence relation with periodic coefficients. We derive explicit formulas for the generating function, the associated continued fraction, the orthogonality measure of
Externí odkaz:
http://arxiv.org/abs/2412.08166
Autor:
Mane, S. R.
We present new expressions for the $k$-generalized Fibonacci numbers, say $F_k(n)$. They satisfy the recurrence $F_k(n) = F_k(n-1) +\dots+F_k(n-k)$. Explicit expressions for the roots of the auxiliary (or characteristic) polynomial are presented, usi
Externí odkaz:
http://arxiv.org/abs/2410.07922
Networks are powerful tools for modeling interactions in complex systems. While traditional networks use scalar edge weights, many real-world systems involve multidimensional interactions. For example, in social networks, individuals often have multi
Externí odkaz:
http://arxiv.org/abs/2410.05188
Autor:
Prunescu, Mihai
An integer sequence that is defined by initial values and a linear recurrence with constant integer coefficients, can be represented by the difference of two arithmetic terms containing exponentiation. All constants occuring in the term are integers.
Externí odkaz:
http://arxiv.org/abs/2406.06436
Autor:
Tabuguia, Bertrand Teguia
Take a multiplicative monoid of sequences in which the multiplication is given by Hadamard product. The set of linear combinations of interleaving monoid elements then yields a ring. For hypergeometric sequences, the resulting ring is a subring of th
Externí odkaz:
http://arxiv.org/abs/2404.10143
Autor:
Yamamoto, Shuma
The Ramanujan Machine project predicts new continued fraction representations of numbers expressed by important mathematical constants. Generally, the value of a continued fraction is found by reducing it to a second order linear difference equation.
Externí odkaz:
http://arxiv.org/abs/2403.09729
Autor:
Torres, Ricardo
We present a version of the classical Floquet-Lyapunov theorem for $\omega-$periodic nonautonomous linear (impulsive and non-impulsive) differential equations with piecewise constant arguments of generalized type (in short, IDEPCAG or DEPCAG). We hav
Externí odkaz:
http://arxiv.org/abs/2403.00661