• Corpus ID: 119151563

On Generating functions of Diagonals Sequences of Sheffer and Riordan Number Triangles

@article{Lang2017OnGF,
  title={On Generating functions of Diagonals Sequences of Sheffer and Riordan Number Triangles},
  author={Wolfdieter Lang},
  journal={arXiv: Number Theory},
  year={2017}
}
  • W. Lang
  • Published 4 August 2017
  • Mathematics
  • arXiv: Number Theory
The exponential generating function of ordinary generating functions of diagonal sequences of general Sheffer triangles is computed by an application of Lagrange's theorem. For the special Jabotinsky type this is already known. An analogous computation for general Riordan number triangles leads to a formula for the logarithmic generating function of the ordinary generating functions of the product of the entries of the diagonal sequence of Pascal's triangle and those of the {Riordan triangle… 

Numerator polynomials of Riordan matrices

Composition polynomials of the RNA matrix and $B$-composition polynomials of the Riordan pseudo-involution

Let $\left( a\left( x \right),xa\left( x \right) \right)$ is the Riordan matrix from the Bell subgroup. We denote ${{\left( a\left( x \right),xa\left( x \right) \right)}^{\varphi }}=\left(

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