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Showing 1 to 3 of 3 for “"Harmonic Numbers"”.
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A harmonic M-factorial function and applications
… and rising factorial functions for the set of harmonic numbers, as well as a mixed factorial function called the M-factorial. From these concepts, we develop a harmonic analog of the binomial coefficient and an alternate expression of the harmonic exponential function and establish several …
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Symbolic Evaluations Inspired by Ramanujan's Series for 1/pi
… by devising methods for evaluating harmonic sums involving squared central binomial coefficients, as in the family of Ramanujan-type series indicated below, letting $H_{n} = 1 + \frac{1}{2} + \cdots + \frac{1}{n}$ denote the $n^{\text{th}}$ harmonic number: \begin{align*} & \sum …
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Accretion processes in magnetic cataclysmic variables - a detailed study of UZ Fornacis
… at ∼4500 Å, 6000 Å and 7700 Å, corresponding to harmonic numbers 4, 3 and 2, respectively. These features are dominant before the eclipse and disappears after the eclipse. The harmonics are consistent with the magnetic field strength of ∼57 MG seen at a viewing angle of 70◦ . To aid with the …