Zobrazeno 1 - 10
of 20 987
pro vyhledávání: '"generating function"'
Autor:
Miana, Pedro J., Romero, Natalia
Publikováno v:
MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 46 - 12, pp. 13262 - 13278. 2023
Let $c=(C_n)_{n\ge 0}$ be the Catalan sequence and $T$ a linear and bounded operator on a Banach space $X$ such $4T$ is a power-bounded operator. The Catalan generating function is defined by the following Taylor series, $$ C(T):=\sum_{n=0}^\infty C_
Externí odkaz:
http://arxiv.org/abs/2401.16493
Autor:
Miana, Pedro J., Romero, Natalia
Publikováno v:
ANNALS OF FUNCTIONAL ANALYSIS. 14 - 69, pp. 21. 2023
In this paper we study the solution of the quadratic equation $TY^2-Y+I=0$ where $T$ is a linear and bounded operator on a Banach space $X$. We describe the spectrum set and the resolvent operator of $Y$ in terms of operator $T$. In the case that $ 4
Externí odkaz:
http://arxiv.org/abs/2401.16415
Publikováno v:
Annales Mathematicae Silesianae, Vol 38, Iss 2, Pp 336-350 (2024)
In this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled N
Externí odkaz:
https://doaj.org/article/6a0fe63bd3f648d1a5cd07f64cf3bfd3
Autor:
Goy Taras, Shattuck Mark
Publikováno v:
Annales Mathematicae Silesianae, Vol 38, Iss 2, Pp 284-313 (2024)
Let un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers. In this paper, we find expressions for the d
Externí odkaz:
https://doaj.org/article/93404facd08b42ecbc501e7373d5fa85
Autor:
Ibrahim Alkhairy
Publikováno v:
Alexandria Engineering Journal, Vol 100, Iss , Pp 1-14 (2024)
Defining a probability model suitable for analyzing intricate and skewed real datasets holds significant importance in statistics. Here In this study, a novel class of models using the maximum of independent identical generalized Rayleigh random vari
Externí odkaz:
https://doaj.org/article/ed677e1ec2f64310b7746445d63ae2d6
Publikováno v:
Discrete Mathematics Letters, Vol 13, Pp 100-107 (2024)
Externí odkaz:
https://doaj.org/article/fff67b472c9840b2b43b3ab6968dc850
Autor:
Daniel A. Griffith
Publikováno v:
AppliedMath, Vol 4, Iss 2, Pp 731-742 (2024)
This paper describes various selected properties and features of negative binomial (NB) random variables, with special reference to NB2 (i.e., p = 2), and some generalizations to NBp (i.e., p ≥ 2), specifications. It presents new results (e.g., the
Externí odkaz:
https://doaj.org/article/70cb8777ead74715be1a630ca43cc345
Publikováno v:
Enumerative Combinatorics and Applications, Vol 5, Iss 1, p Article #S2R6 (2024)
Externí odkaz:
https://doaj.org/article/6e21802e12244e9d841a73ea24c7a852