Cover Image

A matrix approach to the binomial theorem

Motivated by the formula, we investigate factorizations of the lower-triangular Toeplitz matrix with (i; j )th entry equal to x i−j via the Pascal matrix. In this way, a new computational approach to the generalization of the binomial theorem is introduced. Numerous combinatorial identities are obta...

Full description

Saved in:

Bibliographic Details
Published in:	Український математичний журнал
Date:	2012
Main Author:	Stanimirović, S.
Format:	Article
Language:	English
Published:	Український математичний журнал 2012
Subjects:	Короткі повідомлення
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/165411
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	A matrix approach to the binomial theorem / S. Stanimirović // Український математичний журнал. — 2012. — Т. 64, № 11. — С. 1578-1584. — Бібліогр.: 15 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Similar Items

A matrix approach to the binomial theorem
by: Stanimirovic, S., et al.
Published: (2012)

Fixed-Point Theorems and Common Fixed-Point Theorems on Spaces Equipped With Vector-Valued Metrics
by: Hosseinzadeh, H., et al.
Published: (2013)

Generalized Weyl theorem and tensor product
by: Rashid, M.H.M.
Published: (2012)

Littlewood–Paley theorem on spaces Lp(t)(ℝⁿ)
by: Kopaliani, T.S.
Published: (2008)

Re-extending Chebyshev’s theorem about Bertrand’s conjecture
by: Shams, Armіn
Published: (2007)

C2 Property of Column Finite Matrix Rings
by: Liang Shen, et al.
Published: (2014)

On the Space of Sequences of p-Bounded Variation and Related Matrix Mappings
by: Başar, F., et al.
Published: (2003)

A note on a bound of Adan-Bante
by: Xiaoyou Chen
Published: (2014)

A characterization of totally umbilical hypersurfaces of a space form by geodesic mapping
by: Canfes, E.Ö., et al.
Published: (2013)

Upper Subrings of a Ring
by: Katani, R., et al.
Published: (2001)

A Note on FC-Groups
by: Chernikov, N.S.
Published: (2003)

The Energy of a Domain on the Surface
by: Altın, A.
Published: (2015)

On the Well-Posedness of a Two-Point Boundary-Value Problem for a System with Pseudodifferential Operators
by: Kengne, E.
Published: (2005)

On the Binomial Asymptotics of an Entire Dirichlet Series
by: Sheremeta, M. M., et al.
Published: (2001)

Determination of the coefficient of a semilinear parabolic equation for a boundary-value problem with nonlinear boundary condition
by: Akhundov, A.Ya., et al.
Published: (2014)

A note on noncosingular lifting modules
by: Amouzegar Kalati, T., et al.
Published: (2012)

A note on semialgebraically proper maps
by: Dae Heui Park
Published: (2014)

The Jacobi Field of a Lévy Process
by: Berezansky, Yu.M., et al.
Published: (2003)

A-метод и рациональная аппроксимация
by: Дзядык, В.К.
Published: (1985)

On a spherical code in the space of spherical harmonics
by: Bondarenko, A.V.
Published: (2010)

On Placement of Prime Order Elements in a Group
by: Shunkov, V.P.
Published: (2002)

An admissible estimator for the rth power of a bounded scale parameter in a subclass of the exponential family under entropy loss function
by: Alikhani, S., et al.
Published: (2012)

An admissible estimator for the rth power of a bounded scale parameter in a subclass of the exponential family under entropy loss function
by: Alikhani, S., et al.
Published: (2012)

A note on mixed summation-integral-type operators
by: Gupta, M.K., et al.
Published: (2007)

A ring of Pythagorean triples over quadratic fields
by: Somboonkulavudi, C., et al.
Published: (2014)

α-Sasakian 3-Metric as a Ricci Soliton
by: Kundu, S.
Published: (2013)

A note on Solymosi’s sum-product estimate for ordered fields
by: Xue, Boqing
Published: (2014)

Some properties of multivalent functions associated with a certain operator
by: He, P., et al.
Published: (2013)

A note on invariant submanifolds of (k, μ)-contact manifolds
by: Avik De
Published: (2010)

О конечных A-группах с дополняемыми неметациклическими подгруппами
by: Барышовец, П.П.
Published: (2002)

Об оценке перестановки функции из класса Макенхаупта A₁
by: Леончик, Е.Ю.
Published: (2010)

On the Relation between Curvature, Diameter, and Volume of a Complete Riemannian Manifold
by: Si Duc Quang, et al.
Published: (2004)

On the smoothness of the generalized solution of a parabolic system in domains with conic points on the boundary
by: Nguyen Manh Hung, et al.
Published: (2004)

Обмеження на вільні дії знакозміниої групи A₆ на добутках сфер
by: Плахта, Л.П.
Published: (1996)

First-passage probabilities for randomly excited mechanical systems by a selective Monte-Carlo simulation method
by: Labou, M.
Published: (2004)

Uniqueness of Solutions of Some Nonlocal Boundary-Value Problems for Operator-Differential Equations on a Finite Segment
by: Radzievskii, G.V.
Published: (2003)

A Note on the Recursive Sequence xn+1=pkxn+pk−1xn−1+...+p1xn−k+1
by: Stevic, S.
Published: (2003)

Роль гена aleutian в онтогенезе Mustela vison. 3. Анализ плодовитости норок генотипов ррAA и ррAа
by: Вагин, Ю.В.
Published: (2001)

Одержання біфункціональних молекул, специфічних до антигену та Fc-фрагментів антитіл, методом злиття scFv-антитіл із стафілококовим білком A
by: Олійник, О.С., et al.
Published: (2009)

Conditions of nonoscillation of binomial systems of differential equations
by: Bugir, M. K., et al.
Published: (1997)