5 citations · 17 across the 49 of their papers we have counts for
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Sums of arctangents and sums of products of arctangents
Kunle Adegoke
We present new infinite arctangent sums and infinite sums of products of arctangents. Many previously known evaluations appear as special cases of the general results derived in th…
Symmetry properties of finite sums involving generalized Fibonacci numbers
Kunle Adegoke, Oluwaseyi Oshin
We extend a result of I. J. Good and prove more symmetry properties of sums involving generalized Fibonacci numbers
Factored closed-form expressions for the sums of cubes of Fibonacci and Lucas numbers
Kunle Adegoke
We obtain explicit factored closed-form expressions for Fibonacci and Lucas sums of the form \mbox{} and \mbox{}, where $r…
Sums of fourth powers of Fibonacci and Lucas numbers
Kunle Adegoke
We obtain closed-form expressions for all sums of the form \mbox{} and \mbox{} and their alternating versions, where $F_…
Quantization of the one-dimensional free harmonic oscillator as an example of the application of the node theorem and the MacDonald-Hylleraas-Undheim theorem
Kunle Adegoke, Adenike Olatinwo
Using heuristic arguments alone, based on the properties of the wavefunctions, we obtain the energy eigenvalues and the corresponding eigenfunctions of the one-dimensional harmonic…
An alternative derivation of the Fernández-Castro analytic approximate expression for the eigenvalues of the bounded quartic oscillator
Kunle Adegoke, Adenike Olatinwo, Gbenga Olunloyo
In this note we show that the standard \mbox{Rayleigh-Schrödinger} (RS) perturbation method gives the same result as the hypervirial pertubative method (HPM), for an approximate an…