Integer composition, connection Appell constants and Bell polynomials


  • Nataliia Luno V.Stus' Donetsk University, Ukraine


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


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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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