Displaying similar documents to “An asymptotic expansion for the Bernoulli numbers of the second kind.”

On the sum of digits of some sequences of integers

Javier Cilleruelo, Florian Luca, Juanjo Rué, Ana Zumalacárregui (2013)

Open Mathematics

Similarity:

Let b ≥ 2 be a fixed positive integer. We show for a wide variety of sequences {a n}n=1∞ that for almost all n the sum of digits of a n in base b is at least c b log n, where c b is a constant depending on b and on the sequence. Our approach covers several integer sequences arising from number theory and combinatorics.

On the delay differential equation y'(x) = ay(τ(x)) + by(x)

Jan Čermák (1999)

Annales Polonici Mathematici

Similarity:

The paper discusses the asymptotic properties of solutions of the scalar functional differential equation y ' ( x ) = a y ( τ ( x ) ) + b y ( x ) , x ∈ [ x 0 , ∞ ] . Asymptotic formulas are given in terms of solutions of the appropriate scalar functional nondifferential equation.

Counting Keith numbers.

Klazar, Martin, Luca, Florian (2007)

Journal of Integer Sequences [electronic only]

Similarity: