representation by squares
1—10 of 17 matching pages
§27.13(iv) Representation by Squares…
§1.17 Integral and Series Representations of the Dirac Delta… ►
§1.17(ii) Integral Representations… ►Then comparison of (1.17.2) and (1.17.9) yields the formal integral representation … ►
Coulomb Functions (§33.14(iv))… ►
§1.17(iii) Series Representations…
§1.18(ii) spaces on intervals in►Let or or or be a (possibly infinite, or semi-infinite) interval in . For a Lebesgue–Stieltjes measure on let be the space of all Lebesgue–Stieltjes measurable complex-valued functions on which are square integrable with respect to , …Functions for which are identified with each other. The space becomes a separable Hilbert space with inner product … ►Assume that is an orthonormal basis of . The formulas in §1.18(i) are then: … ►for and piece-wise continuous, with convergence as discussed in §1.18(ii). …
Factors inside square roots on the right-hand sides of formulas (19.18.6), (19.20.10), (19.20.19), (19.21.7), (19.21.8), (19.21.10), (19.25.7), (19.25.10) and (19.25.11) were written as products to ensure the correct multivalued behavior.
Reported by Luc Maisonobe on 2021-06-07
Pochhammer symbol representations for the functions and were inserted.
Originally the matrix in the argument of the Gaussian hypergeometric function of matrix argument was written with round brackets. This matrix has been rewritten with square brackets to be consistent with the rest of the DLMF.