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math.NT2016★ 2 cited
A class of digit extraction BBP-type formulas in general binary bases
Kunle Adegoke, Jaume Oliver Lafont, Olawanle Layeni
BBP-type formulas are usually discovered experimentally, one at a time and in specific bases, through computer searches. In this paper, however, we derive directly, without doing a…
math.NT2016★ 2 cited
The higher derivatives of the inverse tangent function and rapidly convergent BBP-type formulas
Kunle Adegoke, Olawanle Layeni
We give a closed formula for the derivative of . A new expansion for is also obtained and rapidly convergent series for and are deriv…
math.NT2015
New Finite and Infinite Summation Identities Involving the Generalized Harmonic Numbers
Kunle Adegoke, Olawanle Layeni
We state and prove a general summation identity. The identity is then applied to derive various summation formulas involving the generalized harmonic numbers and related quantities…