scholarly journals The truncated and supplemented Pascal matrix and applications

2018 ◽  
Vol 11 (2) ◽  
pp. 243-251 ◽  
Author(s):  
Michael Hua ◽  
Steven B. Damelin ◽  
Jeffrey Sun ◽  
Mingchao Yu
Keyword(s):  
Pascal Matrix

scholarly journals Some Properties of the(p,q)-Fibonacci and(p,q)-Lucas Polynomials

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
GwangYeon Lee ◽  
Mustafa Asci
Keyword(s):  
Generating Functions ◽  
Combinatorial Identities ◽  
Fibonacci Polynomials ◽  
Lucas Polynomials ◽  
Pascal Matrix ◽  
Riordan Arrays ◽  
Combinatorial Sums

Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials called(p,q)-Fibonacci polynomials. We obtain combinatorial identities and by using Riordan method we get factorizations of Pascal matrix involving(p,q)-Fibonacci polynomials.

The Pascal matrix in the multivariate Riordan group

2021 ◽  
Author(s):  
Helena Cobo
Keyword(s):  
Pascal Matrix ◽  
Riordan Group

Some Double Sequence Spaces Generated by Four-Dimensional Pascal Matrix

2021 ◽  
Vol 09 (08) ◽  
Author(s):  
Ahmadu Kiltho ◽  
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Schauder Basis ◽  
Topological Properties ◽  
Matrix Domain ◽  
Double Sequence Spaces ◽  
Pascal Matrix

The purpose of this paper is to discover and examine a four-dimensional Pascal matrix domain on Pascal sequence spaces. We show that they are spaces and also establish their Schauder basis, topological properties, isomorphism and some inclusions.

scholarly journals Factorizations related to the reciprocal Pascal matrix

2016 ◽  
Vol 40 ◽  
pp. 986-994
Author(s):  
Helmut PRODINGER
Keyword(s):  
Pascal Matrix

Biquad-parametric technique for digital filter design using bilinear pascal matrix operation

2008 ◽  
Author(s):  
Jetsarawoot Kreuakum ◽  
Sorawat Chivapreecha ◽  
Somyot Junnapiya ◽  
Naohiko Shimizu ◽  
Kobchai Dejhan
Keyword(s):  
Digital Filter ◽  
Filter Design ◽  
Matrix Operation ◽  
Digital Filter Design ◽  
Pascal Matrix

Unified Pascal Matrix for First-Order $s{\hbox{–}}z$ Domain Transformations

2009 ◽  
Vol 57 (6) ◽  
pp. 2130-2139 ◽  
Author(s):  
Tian-Bo Deng ◽  
S. Chivapreecha ◽  
K. Dejhan
Keyword(s):  
First Order ◽  
Pascal Matrix ◽  
Z Domain

scholarly journals Stirling matrix via Pascal matrix

2001 ◽  
Vol 329 (1-3) ◽  
pp. 49-59 ◽  
Author(s):  
Gi-Sang Cheon ◽  
Jin-Soo Kim
Keyword(s):  
Pascal Matrix

scholarly journals Explicit inverse of the Pascal matrix plus one

2006 ◽  
Vol 2006 ◽  
pp. 1-7 ◽  
Author(s):  
Sheng-liang Yang ◽  
Zhong-kui Liu
Keyword(s):  
Bernoulli Numbers ◽  
Simple Approach ◽  
Euler Polynomials ◽  
Pascal Matrix ◽  
The Matrix

This paper presents a simple approach to invert the matrixPn+Inby applying the Euler polynomials and Bernoulli numbers, wherePnis the Pascal matrix.

scholarly journals A connection between a generalized Pascal matrix and the hypergeometric function

2003 ◽  
Vol 16 (8) ◽  
pp. 1239-1243
Author(s):  
M. El-Mikkawy ◽  
Gi-Sang Cheon
Keyword(s):  
Hypergeometric Function ◽  
Pascal Matrix

scholarly journals Z Transformation by Pascal Matrix and its Applications in the Design of IIR Filters

2011 ◽  
Vol 9 (03) ◽  
Author(s):  
F. J. García-Ugalde ◽  
B. Psenicka ◽  
M.O. Jiménez-Salinas
Keyword(s):  
Transfer Function ◽  
Continuous Time ◽  
Direct Method ◽  
Time Transfer ◽  
Iir Filters ◽  
Pascal Matrix ◽  
Low Pass ◽  
Z Transformation ◽  
A Direct Method

In this work, we summarize a direct method to transform the low-pass continuous-time transfer function

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