17 citations · 60 across the 14 of their papers we have counts for
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Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values
Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood
In this paper, we present new explicit simultaneous rational approximations converging sub-exponentially to the values of Bell polynomials at the points of the form $(γ, 1! (2a+1)ζ…
On a continued fraction expansion for Euler's constant
Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood
Recently, A. I. Aptekarev and his collaborators found a sequence of rational approximations to Euler's constant defined by a third-order homogeneous linear recurrence. In this…
Rational approximations for the quotient of gamma values
Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood
In this paper, we continue to study properties of rational approximations to Euler's constant and values of the Gamma function defined by linear recurrences, which were found recen…
Rational approximations for values of the digamma function and a denominators conjecture
Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood
In 2007, A.I.Aptekarev and his collaborators discovered a sequence of rational approximations to Euler's constant defined by a linear recurrence. In this paper, we generalize t…