  This manuscript introduces a general multisection identity expressed
equivalently in terms of infinite double products and/or infinite double
series, from which several new product or summation identities involving
special functions including Gamma, hyperbolic trigonometric, polygamma, zeta
and Jacobi theta functions, are derived. It is shown that a parameterized
version of this multisection identity exists, a specialization of which
coincides with the standard multisection identity.
