Recurrence relations for the Sheffer sequences
Copyright policy )Recurrence relations for the Sheffer sequences
AbstractIn this paper, using the production matrix of an exponential Riordan array [g(t),f(t)], we give a recurrence relation for the Sheffer sequence for the ordered pair (g(t),f(t)). We also develop a new determinant representation for the general term of the Sheffer sequence. As applications, determinant expressions for some classical Sheffer polynomial sequences are derived.
- Lanzhou University of Technology China (People's Republic of)
Numerical Analysis, Algebra and Number Theory, Sheffer sequence, Determinant, Exponential Riordan array, Production matrix, Discrete Mathematics and Combinatorics, Geometry and Topology, Recurrence relation
Numerical Analysis, Algebra and Number Theory, Sheffer sequence, Determinant, Exponential Riordan array, Production matrix, Discrete Mathematics and Combinatorics, Geometry and Topology, Recurrence relation
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