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):  

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
GwangYeon Lee ◽  
Mustafa Asci

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.





Author(s):  
Ahmadu Kiltho ◽  

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.



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


Author(s):  
Jetsarawoot Kreuakum ◽  
Sorawat Chivapreecha ◽  
Somyot Junnapiya ◽  
Naohiko Shimizu ◽  
Kobchai Dejhan


2009 ◽  
Vol 57 (6) ◽  
pp. 2130-2139 ◽  
Author(s):  
Tian-Bo Deng ◽  
S. Chivapreecha ◽  
K. Dejhan
Keyword(s):  


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


Author(s):  
Sheng-liang Yang ◽  
Zhong-kui Liu

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



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


Author(s):  
F. J. García-Ugalde ◽  
B. Psenicka ◽  
M.O. Jiménez-Salinas

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



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