Results 21 to 30 of about 1,205,068 (305)
Successive Partition Method for Binomial Coefficient in Combinatorial Geometric Series
, 2022 This paper focuses on the successive partition method applied to a binomial coefficient in combinatorial geometric series. The coefficient for each term in combinatorial geometric series refers to a binomial coefficient.
Chinnaraji Annamalai
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Theorem on the Binomial Coefficient for Positive Real Number
, 2023 This paper presents a theorem for computing a binomial coefficient with positive real number.
Chinnaraji Annamalai
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Functions of the Binomial Coefficient [PDF]
, 2008 The well known binomial coefficient is the building block of Pascal’s triangle. We explore the relationship between functions of the binomial coefficient and Pascal’s triangle, providing proofs of connections between Catalan numbers, determinants, non ...
Plott, Sean
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A note on a one-parameter family of non-symmetric number triangles [PDF]
Opuscula Mathematica, 2012 The recent growing interest in special Clifford algebra valued polynomial solutions of generalized Cauchy-Riemann systems in \((n + 1)\)-dimensional Euclidean spaces suggested a detailed study of the arithmetical properties of their coefficients, due to ...
Maria Irene Falcão, Helmuth R. Malonek
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ON DIVISIBILITY OF BINOMIAL COEFFICIENTS [PDF]
Journal of the Australian Mathematical Society, 2012 AbstractIn this paper, motivated by Catalan numbers and higher-order Catalan numbers, we study factors of products of at most two binomial coefficients.
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Binomial^3: coefficient, equivalence, and complexities [PDF]
, 2023 In combinatorics on words, for two words u and v, the binomial coefficient (u,v) of u and v is the number of times v appears as a (scattered) subword of u.
Stipulanti, Manon
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Semantical and Grammatical Peculiarities of Binomial Expressions in English [PDF]
, 2011 Binomial expressions are a sequence of two or more words or phrases, which consist of elements belonging to the same category. They may be connected by a coordinating conjunction or a preposition.
Котнюк Л. Г.
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A generalization of the binomial coefficients
Discrete Mathematics, 1992 We pose the question of what is the best generalization of the factorial and the binomial coefficient. We give several examples, derive their combinatorial properties, and demonstrate their interrelationships. On cherche ici à déterminer est la meilleure généralisation possible des factorielles et des coefficients du binôome. On s'interesse à plusieurs
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Series of Convergence Rate −1/4 Containing Harmonic Numbers
Axioms, 2023 Two general transformations for hypergeometric series are examined by means of the coefficient extraction method. Several interesting closed formulae are shown for infinite series containing harmonic numbers and binomial/multinomial coefficients.
Chunli Li, Wenchang Chu
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