Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers
By Takao Komatsu, K. Liptai, Istv'an MezHo. 2015
48 citations recorded by the source corpus.
By using the associated and restricted Stirling numbers of the second kind, we give some generalizations of the poly-Bernoulli numbers. We also study their arithmetical and combinatorial properties. As an application, at the end of the paper we present a new infinite series representation of the Riemann zeta function via the Lambert $W$.
Subfields: Biomedical Engineering, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/708c3700ea9315202a857be8980475fed14f73e9
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In Statistical and Nonlinear Physics
Citations in the corpus
- Some Determinants Involving Incomplete Fubini Numbers (2018, background): “ ··· c2,≥m 2! c1,≥m 1! 1 −1 = 1 0 1 0 1 .. . ... 1 m 0 ··· .. . .. . ... ... 1 n ··· 0 1 1 n+1 1 n ··· 1 m 0 ··· 0 1 . In [10], restricted Bernoulli numbers B n,≤m and associated Bernoulli numbers B n,≥m are introduced. However, similarly to incomplete Cauchy n”