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physics.class-ph2023
The Foucault Pendulum: Trajectories of the Full Lagrangian
Richard J. Mathar
The Foucault Pendulum is a Spherical Pendulum of fixed length with two angular degrees of freedom, attached to a suspension which rotates once a day around the Earth axis at a dist…
math.GM2023
Integrals Associated with the Digamma Integral Representation
Richard J. Mathar
The definite integral with the kernel x/(x^2+b^2)/[\exp(2πx)-1] integrated from x=0 to infinity is the main term of a representation of the Digamma-Function psi(b), the derivative…
math.GM2023
On an Alternating Double Sum of a Triple Product of Aerated Binomial Coefficients
Richard J. Mathar
The double sum sum_(j=0)^m sum_(i=0)^j (-1)^(j-i) C(m,j) C(j,i) C(j+k+qi,j+k) with free nonnegative integer parameters k and q is rewritten as hypergeometric series. Efficient form…