Referee's report by George Howard Darwin, on a paper 'Some definite integrals and a new method of reducing a function of spherical coordinates to a series of spherical harmonics' by Arthur Schuster Sectional Committee: Mathematics Recommended for publication in Philosophical Transactions, in full. There is no discussion of illustrations. It is a valuable piece of work. He has not verified the various definite integrals as this would be a long piece of work. [Published in Philosophical Transactions A, 1903]. Endorsed on verso as received 17 June 1902. 15 June 1902