J. Schlage-Puchta

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20032026

most citedOn triangular billiards

38 citations · 123 across the 49 of their papers we have counts for

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math.CA2023

A continuum dimensional algebra of nowhere differentiable functions

Jan-Christoph Schlage-Puchta

We construct an algebra of dimension $2^{ℵ_{0}}$ consisting only of functions which in no point possess a finite one-sided derivative. We further show that some well known nowhe…

math.CA2021★ 4 cited

Optimal version of the Picard-Lindelöf theorem

Jan-Christoph Schlage-Puchta

Consider the differential equation $y^{'} = F (x, y)$ . We determine the weakest possible upper bound on $∣ F (x, y) - F (x, z) ∣$ which guarantees that this equation has for all initial values a…

math.CA2021

A note on the asymptotics for incomplete Betafunctions

Jan-Christoph Schlage-Puchta

We determine the asymptotic behaviour of certain incomplete Betafunctions.

math.CA2020

Asymptotic evaluation of $\int_{0}^{\infty} (\frac{s i n x}{x})^{n} d x$

Jan-Christoph Schlage-Puchta

We consider the integral $\int_{0}^{\infty} (\frac{s i n x}{x})^{n} d x$ as a function of the positive integer $n$ . We show that there exists an asymptotic series in $\frac{1}{n…

A continuum dimensional algebra of nowhere differentiable functions

Optimal version of the Picard-Lindelöf theorem

A note on the asymptotics for incomplete Betafunctions

Asymptotic evaluation of ∫0∞​(xsinx​)ndx

Asymptotic evaluation of $\int_{0}^{\infty} (\frac{s i n x}{x})^{n} d x$