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Recurrence Relations and Enumerative Interpretations of Some Combinatorial Numbers and Polynomials by O. V. KUZMIN is a Computer Science article available to read on EtoBox.
What is Recurrence Relations and Enumerative Interpretations of Some Combinatorial Numbers and Polynomials about?
We present new recurrence formulae for the Stirling, Lah and Schr der numbers, for elementary and complete symmetric functions, and for the Bell and Platonov polynomials. The relations obtained allow us, knowing a fixed row of the matrix composed of one kind of these combinatorial objects, to restore the preceding rows. We also give some new and partially known interpretations (weighted enumerations) of these combinatorial numbers and polynomials. In this paper we give new recurrence formulae for the Stirling, Lah and Schroder numbers, for elementary and complete symmetric functions, and for the Bell and Platonov polynomials. We also discuss some new and partly known interpretations (weighted enumerations) of these combinatorial numbers and polynomials. The formulae obtained allow us, knowing the rath row of the matrix composed of one kind of the combinatorial numbers or polynomials under consideration, to restore the (ra -l)th row, and consequently, all the preceding rows.
Who reads Recurrence Relations and Enumerative Interpretations of Some Combinatorial Numbers and Polynomials?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- O. V. KUZMIN
- Publisher
- Walter de Gruyter GmbH
- Published
- 1994
- Language
- EN
- Field
- Computer Science (Physical Sciences)