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11: 29.19 Physical Applications

… ►Strutt (1932) describes various applications and provides an extensive list of references. …

12: Foreword

… ►The online version, the NIST Digital Library of Mathematical Functions (DLMF), presents the same technical information along with extensions and innovative interactive features consistent with the new medium. …

13: 35.9 Applications

… ►See James (1964), Muirhead (1982), Takemura (1984), Farrell (1985), and Chikuse (2003) for extensive treatments. …

14: Bibliography Y

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$J$-matrix method: Extensions to arbitrary angular momentum and to Coulomb scattering. J. Math. Phys. 16, pp. 410–420.

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Referenced by:

§18.39(iv).

Encodings:

BibTeX

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15: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions

… ►One then needs a self-adjoint extension of a symmetric operator to carry out its spectral theory in a mathematically rigorous manner. … ►

Formally Self-Adjoint and Self-Adjoint Differential Operators: Self-Adjoint Extensions

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Self-adjoint extensions of a symmetric Operator

… ►Integral transforms (10.22.78) and (10.22.79) are examples of the utility of these extensions. ►

Spectral expansions and self-adjoint extensions

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16: 16.24 Physical Applications

… ►For an extension to two-loop integrals see Moch et al. (2002). …

17: 20.12 Mathematical Applications

… ►For applications of ${\theta }_3(0,q)$ to problems involving sums of squares of integers see §27.13(iv), and for extensions see Estermann (1959), Serre (1973, pp. 106–109), Koblitz (1993, pp. 176–177), and McKean and Moll (1999, pp. 142–143). …

18: 31.6 Path-Multiplicative Solutions

… ►A further extension of the notation (31.4.1) and (31.4.3) is given by …

19: 8.11 Asymptotic Approximations and Expansions

… ►Sharp error bounds and an exponentially-improved extension for (8.11.7) can be found in Nemes (2016). … ►For error bounds and an exponentially-improved extension for this later expansion, see Nemes (2015c). … ►See Tricomi (1950b) for these approximations, together with higher terms and extensions to complex variables. … ►For sharp error bounds and an exponentially-improved extension, see Nemes (2016). … ►For (8.11.18) and extensions to complex values of $x$ see Buckholtz (1963). …

20: 9.16 Physical Applications

… ►Extensive use is made of Airy functions in investigations in the theory of electromagnetic diffraction and radiowave propagation (Fock (1965)). …