Generating functions via Hankel and Stieltjes matrices

Journal of Integer Sequences

Volumn 3, Issue 2, 2000, Pages

  Peart, Paul ^a   Woan, Wen Jin ^a  

^a HOWARD UNIVERSITY   (United States)

Author keywords

Exponential generating function; Hankel matrix; LDU decomposition; Ordinary generating function; Riordan matrix; Stieltjes matrix; Tridiagonal matrix

Indexed keywords

EXPONENTIAL GENERATING FUNCTION; HANKEL MATRIX; LDU DECOMPOSITION; ORDINARY GENERATING FUNCTION; RIORDAN MATRIX; STIELTJES MATRIX; TRIDIAGONAL MATRIX;

CALCULATIONS; DECOMPOSITION; MATHEMATICAL MODELS; MATRIX ALGEBRA; THEOREM PROVING;

FUNCTIONS;

EID: 2942731960     PISSN: 15307638     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. L. Comtet. Advanced Combinatorics. D. Reidel Publishing Company, 1974.
2. S. Getu, L. W. Shapiro, W.-J. Woan, & L. C. Woodson. The Riordan Group. Discrete Applied Mathematics, 34 (1991), 229-239.
3. S. Getu, L. W. Shapiro, W.-J. Woan, & L. C. Woodson. How to Guess a Generating Function. SIAM Journal on Discrete Mathematics, 5 (1992), 497-499.
4. P. Peart, & L. C. Woodson. Triple Factorization of some Riordan Matrices. Fibonacci Quarterly, 31 (1993), 121-128.
5. N. J. A. Sloane. The On-Line Encyclopedia of Integer Sequences. Published electronically at http://www.research.att.cora/njas/sequences/.
6. n-Functions and Umbral Calculus. Ph.D. Thesis. Howard University, 1991.