further generalizations

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1: 8.19 Generalized Exponential Integral

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§8.19(xi) Further Generalizations

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2: 10.73 Physical Applications

… ►For this problem and its further generalizations, see Korenev (2002, Chapter 4, §37) and Gray et al. (1922, Chapter I, §1, Chapter XVI, §4). …

3: 25.16 Mathematical Applications

… ►For further properties of $H(s,z)$ see Apostol and Vu (1984). … ►For further generalizations, see Flajolet and Salvy (1998).

4: 10.23 Sums

… ►see Watson (1944, §16.13), and for further generalizations see Watson (1944, Chapter 16) and Erdélyi et al. (1953b, §7.10.1). …

5: 16.10 Expansions in Series of ${}_p{}^{}F_q^{}$ Functions

… ►Expansions of the form ${\sum }_{n=1}^{\mathrm{\infty }}{(\pm 1)}^n{}_p{}^{}F_{p+1}^{}(𝐚;𝐛;-n^2{z}^2)$ are discussed in Miller (1997), and further series of generalized hypergeometric functions are given in Luke (1969b, Chapter 9), Luke (1975, §§5.10.2 and 5.11), and Prudnikov et al. (1990, §§5.3, 6.8–6.9).

6: 9.13 Generalized Airy Functions

… ►For further generalizations via integral representations see Chin and Hedstrom (1978), Janson et al. (1993, §10), and Kamimoto (1998). …

7: 18.2 General Orthogonal Polynomials

… ►In further generalizations of the class $𝒮$ discrete mass points $x_k$ outside $[-1,1]$ are allowed. …

8: 19.16 Definitions

… ►For generalizations and further information, especially representation of the $R$-function as a Dirichlet average, see Carlson (1977b). …

9: 3.6 Linear Difference Equations

… ►For further information, including a more general form of normalizing condition, other examples, convergence proofs, and error analyses, see Olver (1967a), Olver and Sookne (1972), and Wimp (1984, Chapter 6). …

10: 16.8 Differential Equations

… ► ►For further information see Hille (1976, pp. 360–370). ►

§16.8(ii) The Generalized Hypergeometric Differential Equation

… ►We have the connection formula … ►

§16.8(iii) Confluence of Singularities

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