21—30 of 30 matching pages
§11.9 Lommel Functions… ► … ►
§11.9(ii) Expansions in Series of Bessel Functions… ►If either of equals an odd positive integer, then the right-hand side of (11.9.9) terminates and represents exactly. … ►
§13.4(i) Integrals Along the Real Line… ►
§13.4(ii) Contour Integrals… ►The contour of integration starts and terminates at a point on the real axis between and . … … ►
Analytic Functions… ►
§1.10(vi) Multivalued Functions… ►(Or more generally, a simple contour that starts at the center and terminates on the boundary.) … ►
§1.10(vii) Inverse Functions…
§15.6 Integral Representations… ►In all cases the integrands are continuous functions of on the integration paths, except possibly at the endpoints. … ►In (15.6.1) all functions in the integrand assume their principal values. … ►In (15.6.5) the integration contour starts and terminates at a point on the real axis between and . … ►In each of (15.6.8) and (15.6.9) all functions in the integrand assume their principal values. …
27: 4.6 Power Series
Originally, the second term on the right-hand side was missing. The form of the equation where the second term is missing is correct if the is terminating. It is this form which appeared in the first edition of Gasper and Rahman (1990). The more general version which appears now is what is reproduced in Gasper and Rahman (2004, (III.5)).
Reported by Roberto S. Costas-Santos on 2019-04-26
Confluent hypergeometric functions were incorrectly linked to the definitions of the Kummer confluent hypergeometric and parabolic cylinder functions. However, to the eye, the functions appeared correct. The links were corrected.
The Weierstrass zeta function was incorrectly linked to the definition of the Riemann zeta function. However, to the eye, the function appeared correct. The link was corrected.
Originally named as a complementary error function, has been renamed as the Faddeeva (or Faddeyeva) function.