Results 31 to 40 of about 7,070,887 (229)

The q-Binomial Coefficient for Negative Arguments and Some q-Binomial Summation Identities [PDF]

open access: yes, 2023
Using a property of the q-shifted factorial, an identity for q-binomial coefficients is proved, which is used to derive the formulas for the q-binomial coefficient for negative arguments.
Kronenburg, M. J.
core   +1 more source

On certain congruences involving central binomial coefficients

open access: yesMathematica Montisnigri, 2023
Let p be an odd prime. In this paper, using some properties of Fibonacci numbers, reciprocal polynomials for Fibonacci polynomials, and Legendre symbol, we establish some congruences involving central binomial coefficient modulo p and p^2. We also give some new identities for hyperbolic functions.
Rachid Boumahdi   +2 more
openaire   +1 more source

Functions of the Binomial Coefficient [PDF]

open access: yes, 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
core   +1 more source

Semantical and Grammatical Peculiarities of Binomial Expressions in English [PDF]

open access: yes, 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.
core   +1 more source

Powers in Prime Bases and a Problem on Central Binomial Coefficients

open access: yesIntegers, 2015
12 ...
Holdum, Sebastian Tim   +2 more
openaire   +4 more sources

Successive Partition Method for Binomial Coefficient in Combinatorial Geometric Series

open access: yes, 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
core   +1 more source

Some congruences involving central q-binomial coefficients

open access: yesAdvances in Applied Mathematics, 2010
16 pages, detailed proofs of Theorems 4.1 and 4.3 are added, to appear in Adv.
Victor J. W. Guo, Jiang Zeng
openaire   +3 more sources

Constructing Arbitrage-free Binomial Models [PDF]

open access: yes, 2004
Wöster C. Constructing Arbitrage-free Binomial Models. Discussion paper / Fakultät für Wirtschaftswissenschaften, Universität Bielefeld. Bielefeld: Universität Bielefeld; 2004.In the past decades several versions of the binomial model for option pricing,
Wöster, Christoph
core  

Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone   +8 more
wiley   +1 more source

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