|
|||||
|
|
Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence |
|
| Authors: | István Mező Ayhan Dil |
| Affiliation: | (1) Department of Algebra and Number Theory, Institute of Mathematics, University of Debrecen, Debrecen, Hungary;(2) Department of Mathematics, Faculty of Art and Science, University of Akdeniz, Antalya, Turkey |
| Abstract: | In this paper we use the Euler-Seidel method for deriving new identities for hyperharmonic and r-Stirling numbers. The exponential generating function is determined for hyperharmonic numbers, which result is a generalization of Gosper’s identity. A classification of second order recurrence sequences is also given with the help of this method. |
| Keywords: | Harmonic numbers Hyperharmonic numbers r-Stirling numbers Fibonacci numbers Euler-Seidel matrices |
| 本文献已被 SpringerLink 等数据库收录！ | |