Results 131 to 140 of about 916 (171)

Molecular Screening Reveals De Novo Loss-of-Function <i>NR4A2</i> Variants in Saudi Children with Autism Spectrum Disorders: A Single-Center Study. [PDF]

open access: yesInt J Mol Sci
Alharbi NM   +11 more
europepmc   +1 more source

Generalization of Binet's Gamma function formulas

Integral Transforms and Special Functions, 2013
Several representations for the logarithm of the Gamma function exist in the literature. There are four important expansions which bear the name of Binet. Hermite generalized Binet's first formula to the logarithm of the Gamma function with shifted argument.
Gergő Nemes
openaire   +3 more sources

Dirichlet Convolution and the Binet Formula

2023
Summary: The main aim of this note is to show that the set of closed triples of generalized Fibonacci arithmetic functions under the Dirichlet convolution is a singleton set. This unique Dirichlet convolution identity is the Binet Fibonacci number formula in terms of arithmetic functions and the Dirichlet convolution.
Schwab, Emil Daniel, Schwab, Gabriela
openaire   +2 more sources

A New Generalization of Fibonacci Sequence & Extended Binet's Formula

Integers, 2009
AbstractConsider the Fibonacci ...
Edson, Marcia, Yayenie, Omer
openaire   +2 more sources

A Parent of Binet's Formula?

Mathematics Magazine, 2004
Proof. The classical way to solve a linear equation system is by performing row operations: (i) add one row to another row, (ii) multiply a row with a nonzero scalar and (iii) exchange two rows. We show that the quotient in equation (1) will not change under row operations.
openaire   +1 more source

The k-Periodic Fibonacci Sequence and an Extended Binet's Formula

Integers, 2011
AbstractIt is well known that a continued fraction is periodic if and only if it is the representation of a quadratic ...
Edson, Marcia   +2 more
openaire   +2 more sources

Binet's formula for generalized tribonacci numbers

International Journal of Mathematical Education in Science and Technology, 2015
In this note, we derive Binet's formula for the general term Tn of the generalized tribonacci sequence. This formula gives Tn explicitly as a function of the index n, the roots of the associated characteristic equation, and the initial terms T0, T1, and T2.
openaire   +1 more source

Quantum m*n-matrices and q-deformed Binet-Cauchy formula

Journal of Physics A: Mathematical and General, 1991
Summary: Quantum multiplicative matrices of size \(m\times n\) are introduced and studied. The \(q\)-generalization of the Binet-Cauchy formula is found.
openaire   +2 more sources

Binet type formula for Tribonacci sequence with arbitrary initial numbers

Chaos, Solitons & Fractals, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

An Elementary Proof of Binet's Formula for the Gamma Function

The American Mathematical Monthly, 1999
(1999). An Elementary Proof of Binet's Formula for the Gamma Function. The American Mathematical Monthly: Vol. 106, No. 2, pp. 156-158.
openaire   +1 more source

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