Results 1 to 10 of about 8,689,572 (269)
A Unified Generalization of the Catalan, Fuss, and Fuss—Catalan Numbers [PDF]
Mathematical and Computational Applications, 2019 In the paper, the authors introduce a unified generalization of the Catalan numbers, the Fuss numbers, the Fuss−Catalan numbers, and the Catalan−Qi function, and discover some properties of the unified generalization, including a product ...
Xiao-Ting Shi, Feng Qi, Pietro Cerone
exaly +7 more sources
Three Identities of the Catalan-Qi Numbers
Mathematics, 2016 In the paper, the authors find three new identities of the Catalan-Qi numbers and provide alternative proofs of two identities of the Catalan numbers. The three identities of the Catalan-Qi numbers generalize three identities of the Catalan numbers.
Feng Qi, Mansour Mahmoud
exaly +3 more sources
Some Properties of the Fuss–Catalan Numbers
Mathematics, 2018 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, of the ...
Feng Qi, Pietro Cerone
exaly +3 more sources
Integral Representations of the Catalan Numbers and Their Applications
Mathematics, 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 ...
Bai-Ni Guo, Feng Qi
exaly +3 more sources
Spoken and Written Representation of Number in L2 Catalan Indefinite Determiner Phrases [PDF]
, 2020 The study explores the relationship that second language (L2) learners of Catalan establish between the spoken and the written representation of number inflection within an indefinite-article Determiner Phrase (DP); and it also addresses first language ...
Perera i Parramon, Joan +2 more
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An overview of Catalan sociolinguistics and pragmatics (1989-1996) [PDF]
, 2019 The aim of this appraisal is to provide readers of the Catalan Review with access to data concerning both work already completed and work currently under way in the fields of Catalan sociolinguistics and pragmatics.
Boix, Emili, 1956- +1 more
core +6 more sources
Catalan linguistics: New trends and findings [PDF]
, 2019 Catalan Review is an international journal devoted to issues related to all aspects of Catalan culture. However, upon browsing the journal, one realizes that the bulk of the published articles deals with literature; see, e.g., the 'Bibliographic and ...
Comajoan, Llorenç, Lloret, Maria-Rosa
core +7 more sources
Mathematics, 2023 In the paper, the authors briefly survey several generalizations of the Catalan numbers in combinatorial number theory, analytically generalize the Catalan numbers, establish an integral representation of the analytic generalization of the Catalan ...
Jian Cao +4 more
doaj +1 more source
The Relationship of Multiset, Stirling Number, Bell Number, and Catalan Number
Science and Technology Indonesia, 2023 Catalan numbers is not as famous as Fibonacci numbers, however this number has own its beauty and arts. Catalan numbers was discovered by Ming Antu in 1730, however, this numbers is credited to Eugene Catalan when he was studying parentheses in 1838 ...
Wamiliana, Attiya Yuliana, Fitriani
doaj +1 more source
Greener Solvents for the Photoisomerization and Catalytic Heat Release of a Norbornadiene-Based Molecular Solar Thermal Energy Storage System. [PDF]
Adv Sci (Weinh)A Molecular Solar Thermal (MOST) system combining a scalable norbornadiene–quadricyclane photoswitch, a biodegradable solvent, propylene carbonate, and noble and first‐row metal catalysts, is presented. Propylene carbonate boosts photoisomerization quantum yield by 25% compared to toluene, prolongs energy storage by an additional 15 days, and enables ...
Magson L +8 more
europepmc +2 more sources