Results 111 to 120 of about 1,655,826 (313)
Simplifying coefficients in differential equations for generating function of Catalan numbers
Journal of Taibah University for Science, 2019 In the paper, by the Faà di Bruno formula, several identities for the Bell polynomials of the second kind, and an inversion theorem, the authors simplify coefficients in two families of nonlinear ordinary differential equations for the generating ...
Feng Qi (祁锋), Yong-hong Yao
semanticscholar +1 more source
Catalan numbers which are factoriangular numbers [PDF]
In this paper, we prove that the only Catalan numbers or middle binomial coefficients which are factoriangular numbers are 1, 2 and ...
Luca, Florian +2 more
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Several Series Identities Involving the Catalan Numbers [PDF]
, 2017 In the paper, the authors discover several series identities involving the Catalan numbers, the Catalan function, the Riemanian zeta function, and the alternative Hurwitz zeta function.
Feng Qi, Li Yin
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A Study on Dual Hyperbolic Fibonacci and Lucas Numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers.
Cihan Arzu +3 more
doaj +1 more source
INTEGRAL REPRESENTATIONS OF CATALAN NUMBERS AND THEIR APPLICATIONS
, 2017 In the paper, the authors survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of several integral representations ...
Feng Qi (祁锋), Bai-Ni Guo (郭白妮)
semanticscholar +1 more source
Archaeological Prospection, EarlyView.ABSTRACT The detection of buried or obscured archaeological features remains a central challenge in landscape archaeology, particularly in the irrigated floodplains of Mesopotamia where levees and canals formed the basis of complex agrarian systems. This study presents a deep learning–based approach for the large‐scale, automated detection of ancient ...
Nazarij Buławka +4 more
wiley +1 more source
Oocyte–cumulus cell interaction: a key factor in early embryo development
Biological Reviews, EarlyView.ABSTRACT The evaluation of oocyte competence is a fundamental step in achieving successful outcomes following assisted reproduction techniques (ART). At present, however, conventional oocyte maturation assessment is carried out by morphological observation, which is a subjective method that does not consider molecular features.
Marc Torres‐Garrido +2 more
wiley +1 more source
Some Properties of the Fuss–Catalan Numbers [PDF]
, 2017 In the paper, the authors express the Fuss–Catalan numbers as several forms in terms of the Catalan–Qi function, find some analytic properties, including the monotonicity, logarithmic convexity, complete monotonicity, and minimality ...
Feng Qi, Pietro Cerone
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An integral representation, complete monotonicity, and inequalities of the Catalan numbers
, 2018 In the paper, by virtue of the Cauchy integral formula in the theory of complex functions, the authors establish an integral representation for the generating function of the Catalan numbers in combinatorics.
Feng Qi (祁锋) +2 more
semanticscholar +1 more source
Business Strategy and the Environment, EarlyView.ABSTRACT Although cross‐sector collaborations drive innovation, organizational policies as legitimation signals attracting such collaborations remain unexplored. This study examines the mediating role of environmental partnerships between organizational policies and environmental innovation.
Jose Nicolas Pacheco +3 more
wiley +1 more source