Theory of Binet formulas for Fibonacci and Lucas p-numbers
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Stakhov, Alexey, Rozin, Boris
exaly +10 more sources
Some properties of extended remainder of binet’s first formula for logarithm of gamma function [PDF]
Abstract In the paper, we extend Binet’s first formula for the logarithm of the gamma function and investigate some properties, including inequalities, star-shaped and sub-additive properties and the complete monotonicity, of the extended remainder of Binet’s first formula for the logarithm of the gamma function and related functions.
Qui, Feng, Guo, Bai-Ni
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THE GENERALIZED BINET FORMULA, REPRESENTATION AND SUMS OF THE GENERALIZED ORDER-$k$ PELL NUMBERS
In this paper we give a new generalization of the Pell numbers in matrix representation. Also we extend the matrix representation and we show that the sums of the generalized order-k Pell numbers could be derived directly using this representation. Further we present some identities, the generalized Binet formula and combinatorial representation of the
Kiliç, Emrah, Taşci, Dursun
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Comparison of Adulthood Outcomes in Autism Spectrum Disorder With and Without Regression: A Population-Based Birth Cohort Study. [PDF]
ABSTRACT The long‐term outcomes of regression in autism spectrum disorder (ASD) remain unclear. Previous evidence suggests that autistic individuals with regression have poorer adulthood outcomes across various indices than those without regression. We compared two groups—those with and without regression in ASD—among 168 participants from a population‐
Minami S +4 more
europepmc +2 more sources
Algorithm for Constructing an Analogue of the Binet Formula [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuzovatov, V. I. +2 more
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On Hybrid Numbers with Gaussian Leonardo Coefficients
We consider the Gaussian Leonardo numbers and investigate some of their amazing characteristic properties, including their generating function, the associated Binet formula and Cassini identity, and their matrix representation. Then, we define the hybrid
Nagihan Kara, Fatih Yilmaz
doaj +1 more source
Matrix Structure of Jacobsthal Numbers
The main scenario of this paper is to introduce a new sequence of Jacobsthal type having a generalized order j. Some basic properties will be studied concerning it. Also, we will establish the generalized Binet formula.
Abdul Hamid Ganie, Mashael M. AlBaidani
doaj +1 more source
One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers
In this paper, we introduce one-parameter generalization of dual-hyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover,
Bród Dorota +2 more
doaj +1 more source
Challenges in Providing Parenting Support for Parents With Intellectual Disabilities in Japan. [PDF]
ABSTRACT Background While there is now considerable research on parenting by persons with intellectual disabilities, most of this research comes from Western countries. A dearth of information exists about families headed by parents with intellectual disabilities from other countries.
Tanaka E +3 more
europepmc +2 more sources
On Generalized Tribonacci Octonions
In this paper, we introduced generalized tribonacci octonion sequence which is a generalization of third order recurrence relations. We investigate many identities which are created by using generalized tribonacci sequence.
Arzu Özkoç Öztürk
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