in terms of Whittaker functions
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11: 13.28 Physical Applications
§13.28 Physical Applications
… ►and , , denotes any pair of solutions of Whittaker’s equation (13.14.1). … ►For potentials in quantum mechanics that are solvable in terms of confluent hypergeometric functions see Negro et al. (2000). ►§13.28(ii) Coulomb Functions
…12: Bibliography O
13: 13.21 Uniform Asymptotic Approximations for Large
14: 18.34 Bessel Polynomials
15: 13.20 Uniform Asymptotic Approximations for Large
§13.20(i) Large , Fixed
… ► ►It should be noted that (13.20.11), (13.20.16), and (13.20.18) differ only in the common error terms. … ►These approximations are in terms of Airy functions. … ►16: 33.16 Connection Formulas
17: Errata
This equation was updated to include the definition of Bessel polynomials in terms of Laguerre polynomials and the Whittaker confluent hypergeometric function.
A sentence was added in §8.18(ii) to refer to Nemes and Olde Daalhuis (2016). Originally §8.11(iii) was applicable for real variables and . It has been extended to allow for complex variables and (and we have replaced with in the subsection heading and in Equations (8.11.6) and (8.11.7)). Also, we have added two paragraphs after (8.11.9) to replace the original paragraph that appeared there. Furthermore, the interval of validity of (8.11.6) was increased from to the sector , and the interval of validity of (8.11.7) was increased from to the sector , . A paragraph with reference to Nemes (2016) has been added in §8.11(v), and the sector of validity for (8.11.12) was increased from to . Two new Subsections 13.6(vii), 13.18(vi), both entitled Coulomb Functions, were added to note the relationship of the Kummer and Whittaker functions to various forms of the Coulomb functions. A sentence was added in both §13.10(vi) and §13.23(v) noting that certain generalized orthogonality can be expressed in terms of Kummer functions.