On Generating functions of Diagonals Sequences of Sheffer and Riordan Number Triangles
Abstract
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. For some examples these ordinary generating functions yield in both cases coefficient triangles of certain numerator polynomials.
 Publication:

arXiv eprints
 Pub Date:
 August 2017
 arXiv:
 arXiv:1708.01421
 Bibcode:
 2017arXiv170801421L
 Keywords:

 Mathematics  Number Theory;
 05A15;
 11B83;
 Secondary 11B37
 EPrint:
 9 pages