Results 11 to 20 of about 12,986 (183)

Binet's second formula, Hermite's generalization, and two related identities

Open Mathematics, 2023
Abstract Legendre was the first to evaluate two well-known integrals involving sines and exponentials. One of these integrals can be used to prove Binet’s second formula for the logarithm of the gamma function. Here, we show that the other integral leads to a specific case of Hermite’s generalization of Binet’s formula.
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Some properties of extended remainder of binet’s first formula for logarithm of gamma function [PDF]

Mathematica Slovaca, 2010
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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Comparison of Adulthood Outcomes in Autism Spectrum Disorder With and Without Regression: A Population-Based Birth Cohort Study. [PDF]

Autism Res
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, Iwasa M, Ohzono H, Sasayama D, Honda H.   +4 more
europepmc   +2 more sources

Beyond the Pulmonary Functions: Altered Cognitive-Motor Performance and Motor Imagery in Children With Bronchiectasis. [PDF]

Pediatr Pulmonol
ABSTRACT Background Bronchiectasis (BE) is a chronic obstructive pulmonary disease characterized by bronchial dilatation and structural damage due to persistent inflammation and infections. While pulmonary impairments in BE are extensively documented, cognitive‐motor functions and motor imagery in children with BE remain understudied.
Temizel Tombul A, Denizoglu Kulli H, Ucgun H, Kaya M, Cakir E.   +4 more
europepmc   +2 more sources

Solvent-Mediated Dewetting Principles for Cell-Sized Liposome Formation. [PDF]

Small
Dynamics of solvent‐mediated dewetting for giant unilamellar liposome formation. Solvent removal, through changing lipid packing and membrane tension, is shown to induce partial dewetting into equilibrium low and high budding angle morphologies. Complete dewetting requires mechanical force, quantified using optical tweezers.
Bakouei M, Avsievich T, Sundara Raju I, Stumpf D, Kalantarifard A, Ryplida B, Elbuken C.   +6 more
europepmc   +2 more sources

Algorithm for Constructing an Analogue of the Binet Formula [PDF]

Programming and Computer Software, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuzovatov, V. I., Kytmanov, A. A., Kuzovatova, O. I.   +2 more
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On Hybrid Numbers with Gaussian Leonardo Coefficients

Mathematics, 2023
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
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Matrix Structure of Jacobsthal Numbers

Journal of Function Spaces, 2021
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
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One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers

Annales Mathematicae Silesianae, 2023
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, Szynal-Liana Anetta, Włoch Iwona   +2 more
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On Generalized Tribonacci Octonions

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
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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