Integer composition, connection Appell constants and Bell polynomials

Authors

  • Nataliia Luno V.Stus' Donetsk University, Ukraine

Keywords:

Appell polynomials, generating functions, connection coefficients, integer composition, connection problems, Bell polynomials

Abstract

We introduce an explicit form of the connection coefficients for Appell polynomial sequences via Toeplitz-Hessenberg matrix determinants.

Generalizing, we give an explicit form of the connection coefficients for arbitrary   polynomial sequences and constitute the combinatorial meaning of both constants in terms of integer composition.

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References

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Published

2021-12-31

How to Cite

Luno, N. (2021). Integer composition, connection Appell constants and Bell polynomials. J. Numer. Anal. Approx. Theory, 50(2), 164–179. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1245

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