Calculation of the solid angle subtended by a cylinder at a point

An analytical formula for calculating the solid angle subtended by a cylinder at a point has been derived from the general solid angle equation. The formula is expressed by double line integrals and by single integrals of simple elementary functions. These functions were then integrated and the formula was represented by products of some elementary functions and the incomplete Lagrange-Jacobi elliptic integrals of the third kind. The final formula was used to calculate representative values of solid angles and compare them with literature data.