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math.GM2020
A sequence of elementary integrals related to integrals studied by Glaisher that contain trigonometric and hyperbolic functions
Martin Nicholson
We generalize several integrals studied by Glaisher. These ideas are then applied to obtain an analog of an integral due to Ismail and Valent.
math.GM2020
On certain finite and infinite sums of inverse tangents
Martin Nicholson
An identity is proved connecting two finite sums of inverse tangents. This identity is discretized version of Jacobi's imaginary transformation for the modular angle from the theor…