Catalan number
SOME PROPERTIES OF THE FUSS–CATALAN NUMBERS
... In the recent papers [21, 23, 37, 38, 39, 44, 45, 46, 47, 50], among other things, some analytic properties, including the general expression and a generalization of the asymptotic expansion (1.2), the monotonicity, ...
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Integral Representations of Catalan Numbers and Their Applications
... 2. Integral representations of the Catalan numbers 3 2.1. Penson–Sixdeniers’ integral representations in 2001 3 2.2. Dana-Picard’s integral representations in 2005 4 2.3. Dana-Picard’s integral representations in ...
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kth price auctions and Catalan numbers
... involving Catalan numbers. Using an integral representation of Catalan numbers together with some classical combinatorial identities, we are then able to characterize equilibrium bids and obtain their ...
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THE GENERATING FUNCTION OF THE CATALAN NUMBERS AND LOWER TRIANGULAR INTEGER MATRICES
... Abstract. In the paper, by the Fa` a di Bruno formula, several identities for the Bell polynomials of the second kind, and an inversion theorem, the authors simplify coefficients of two families of nonlinear ordinary ...
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Several Series Identities Involving the Catalan Numbers
... series identity; Catalan number; Catalan function; Riemanian zeta function; alternative Hurwitz zeta function; digamma function.. This paper was typeset using AMS -L A TEX.[r] ...
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Some congruences on q Franel numbers and q Catalan numbers
... Zeng, New congruences for sums involving Ap´ery numbers or central Delannoy numbers, Int.. Zeng, Some congruences involving central q-binomial coefficients, Adv..[r] ...
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An Overview of the Geometry and Combinatorics of the Macdonald Polynomial and q-t Catalan Number
... weight-prserving, and cancel out terms not wanted in (??) and (??). We skip many of the details. But stress on one key idea, the so called critical square, meaning the last attacking pair in reading order, that has the ...
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Combinatorial Interpretation of Raney Numbers and Tree Enumerations
... than Catalan numbers [9], the Catalan numbers are more popular and widely used than the Fuss-Catalan numbers (see [10] [11] for ...of Catalan numbers could be found in many physical problems, ...
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Several Explicit and Recursive Formulas for the Generalized Motzkin Numbers
... Abstract. In the paper, the authors find two explicit formulas and recover a recursive formula for the generalized Motzkin numbers. Consequently, the authors deduce two explicit formulas and a recursive formula for the ...
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Catalan fragile words
... motivation for the introduction of such words comes from Group Theory, and more specifically from the theory of automata groups, fragile words seem to have interesting combinatorial properties in their own right. Behind ...
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An extension for Rice’s integral and applications
... More recently, Bayad et al. [, ] established new identities for some new polynomials associated with the λ-array type polynomials. Simsek [] gave an approach to combinato- rial sums involving binomial coefficients and ...
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Democratic Principle and the Right to Decide: The Case of Catalan Secession
... Regardless of what is in the Report the democratic principle becomes relevant not only after holding the ref- erendum, but also before, in order that it be convened; what we must note is that this Report does not defend ...
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Factors affecting Spanish and Catalan women participation in training
... The Assessment of Contracts of Intersectorial Programmes and Social Economy study, conducted by a research team during 2009-2010, was based on the people who completed their participation in job training offer ...
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Mapa mondi (Catalan Atlas of 1375), Majorcan cartographic school, and 14th century Asia
... the Catalan Atlas was drawn in the portolan style, it is not, strictly speaking, a portolan ...The Catalan Atlas is actually a world map built up around a portolan chart, thus combining aspects of the ...
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Traditional knowledge in semi-rural close to industrial areas: ethnobotanical studies in western Gironès (Catalonia, Iberian Peninsula)
... Eastern Catalan linguistic and cultural area, where still a territory is to be investigated before being able to perform a meta-analytic ...on Catalan and Iberian folk plant knowledge provides them with a ...
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A coastal storms intensity scale for the Catalan sea (NW Mediterranean)
... Figure 8 shows the estimated class-averaged representative volume loss potential and run-up values for the Catalan coast. As expected, the higher the intensity of the storm, the larger the eroded volume will be. ...
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Modeling Regular Polysemy: A Study on the Semantic Classification of Catalan Adjectives
... Finally, feature set theor (for theoretical) generalizes and adds to the theoretical properties used in the first experiment (Table 3 in Section 4.2). Upon inspection of the clustering solutions (not reported here for ...
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Language, immigration and nationalism: Comparing the Basque and Catalan cases
... of Catalan society were united as a single entity of soul and action and the 'imagined community' became embodied in a tangible ...the Catalan under-classes (Alvarez Junco 1990, Culla ...in Catalan ...
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AnCora: Multilevel Annotated Corpora for Catalan and Spanish
... AnCora is the largest multilayer annotated corpus of Spanish and Catalan freely available from http:// clic.ub.edu/ancora. It is comparable to other cor- pora which are being developed at present: the English ...
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Psychometric analysis of the Spanish and Catalan versions of the Diabetes Self-Care Inventory-Revised version questionnaire
... and Catalan SCI-R versions involved three phases: first, translation, back translation, and cultural adaptation from the English version to Spanish and Catalan versions of the questionnaire; second, ...
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