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Exponential Structures and Polynomial Operators

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Lessons in Enumerative Combinatorics

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 290))

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Abstract

We shall start by studying the generating function of the sequence of polynomials

$$\displaystyle \sigma _n ( x ) = \sum _{k=1}^n S_{n,k} x^k ~. $$

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References

  1. Garsia, A.M.: An exposé of the Mullin–Rota theory of polynomials of binomial type. Linear Multilinear Algebra 1, 47–65 (1973)

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  2. Mullin, R., Rota, G. C.: On the theory of binomial enumeration. In: Graph Theory and its Applications. Academic Press, New York (1970)

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Authors and Affiliations

  1. Department of Computer Science, University of California, Santa Barbara, Santa Barbara, CA, USA

    Ömer Eğecioğlu

  2. Department of Mathematics, University of California, San Diego, La Jolla, CA, USA

    Adriano M. Garsia

Authors
  1. Ömer Eğecioğlu
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  2. Adriano M. Garsia
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Eğecioğlu, Ö., Garsia, A.M. (2021). Exponential Structures and Polynomial Operators. In: Lessons in Enumerative Combinatorics. Graduate Texts in Mathematics, vol 290. Springer, Cham. https://doi.org/10.1007/978-3-030-71250-1_6

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