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  1. 181

    Mean number of real zeros of a random hyperbolic polynomial by J. Ernest Wilkins

    Published 2000-01-01
    “…If νnp is the mean number of real zeros of f(x), then we prove that νnp=π−1 logn+O{(logn)1/2}.…”
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    Applications of Fuss-Catalan Numbers to Success Runs of Bernoulli Trials by S. J. Dilworth, S. R. Mane

    Published 2016-01-01
    “…In a recent paper, the authors derived the exact solution for the probability mass function of the geometric distribution of order k, expressing the roots of the associated auxiliary equation in terms of generating functions for Fuss-Catalan numbers. This paper applies the above formalism for the Fuss-Catalan numbers to treat additional problems pertaining to occurrences of success runs. …”
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