Title of article :
The Sheffer group and the Riordan group Original Research Article
Author/Authors :
Tian-Xiao He، نويسنده , , Leetsch C. Hsu، نويسنده , , Peter J. -S. Shiue، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
We define the Sheffer group of all Sheffer-type polynomials and prove the isomorphism between the Sheffer group and the Riordan group. An equivalence of the Riordan array pair and generalized Stirling number pair is also presented. Finally, we discuss a higher dimensional extension of Riordan array pairs.
Keywords :
Sheffer-type differential operators , Sheffer-type polynomials , Sheffer group , Formal power series , Riordan group , Generalized weighted Stirling numbers , Riodan array
Journal title :
Discrete Applied Mathematics
Journal title :
Discrete Applied Mathematics
