1 I. Waller, Zeit. Physik, 38, 644 (1926). 2 J. H. Van Vleck, Proc. Roy. Soc. A, 143, 679 (1934). There is a slight error in his expression for r for 1=2, the coefficients being all 10 times too large. 3a may be equated to zero except in the case q = 21. 4 W. N. Bailey, Generalized Hypergeometric Series (Cambridge Tract No. 32), p. 18. 6 The polynomial 1n(Z) is discussed by H. Bateman, T8kohu M...