The higher-order generalized geometric polynomials count barred preferential arrangements with one special section and λ ordinary sections, with an explicit Stirling-number formula and an asymptotic estimate.
Geometric Polynomials: Properties and Applications to Series with Zeta Values
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abstract
We provide several properties of the geometric polynomials discussed in earlier works of the authors. Further, the geometric polynomials are used to obtain a closed form evaluation of certain series involving Riemann's zeta function.
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A Combinatorial Analysis Of Higher Order Generalised Geometric Polynomials: A Generalisation Of Barred Preferential Arrangements
The higher-order generalized geometric polynomials count barred preferential arrangements with one special section and λ ordinary sections, with an explicit Stirling-number formula and an asymptotic estimate.