P. Hadjicostas

most citedThe generalized-Euler-constant function

γ (z)

and a generalization of Somos's quadratic recurrence constant

43 citations · 46 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2006★ 43 cited

The generalized-Euler-constant function $γ (z)$ and a generalization of Somos's quadratic recurrence constant

Jonathan Sondow, Petros Hadjicostas

We define the generalized-Euler-constant function $γ (z) = \sum_{n = 1}^{\infty} z^{n - 1} (\frac{1}{n} - lo g \frac{n + 1}{n})$ when $∣ z ∣ \leq 1$ . Its values include both Euler's constant $γ=…

math.NT2004★ 3 cited

A conjecture-generalization of Sondow's formula

Petros Hadjicostas

An easy generalization of Beukers' integrals allows us to conjecture a double integral formula involving the zeta and the gamma functions. A special case of this formula is Sondow'…

The generalized-Euler-constant function γ(z) and a generalization of Somos's quadratic recurrence constant

A conjecture-generalization of Sondow's formula

The generalized-Euler-constant function $γ (z)$ and a generalization of Somos's quadratic recurrence constant