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Spherical Bessel functions appear commonly in many areas of physics whereinthere is both translation and rotation invariance, and often integrals overproducts of several arise. Thus, analytic evaluation of such integrals withdifferent weighting functions (which appear as toy models of a given physicalobservable, such as the galaxy power spectrum) is useful. Here we present ageneralization of a recursion-based method for evaluating such integrals. Itgives relatively simple closed-form results in terms of Legendre functions (forthe exponentially-damped case) and Gamma, incomplete Gamma functions, andhypergeometric functions (for the Gaussian-damped case). We also present a new,non-recursive method to evaluate integrals of products of spherical Besselfunctions with Gaussian damping in terms of incomplete Gamma functions andhypergeometric functions.

Triple-Spherical Bessel Function Integrals with Exponential and Gaussian Damping: Towards an Analytic N-Point Correlation Function Covariance Model