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11: 4.10 Integrals

… ►Extensive compendia of indefinite and definite integrals of logarithms and exponentials include Apelblat (1983, pp. 16–47), Bierens de Haan (1939), Gröbner and Hofreiter (1949, pp. 107–116), Gröbner and Hofreiter (1950, pp. 52–90), Gradshteyn and Ryzhik (2000, Chapters 2–4), and Prudnikov et al. (1986a, §§1.3, 1.6, 2.3, 2.6).

12: 14.17 Integrals

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§14.17(i) Indefinite Integrals

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13: 1.4 Calculus of One Variable

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§1.4(iv) Indefinite Integrals

… ►See §§4.10, 4.26(ii), 4.26(iv), 4.40(ii), and 4.40(iv) for indefinite integrals involving the elementary functions. …

14: 18.17 Integrals

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§18.17(i) Indefinite Integrals

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Jacobi

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Laguerre

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Hermite

… ►Just as the indefinite integrals (18.17.1), (18.17.3) and (18.17.4), many similar formulas can be obtained by applying (1.4.26) to the differentiation formulas (18.9.15), (18.9.16) and (18.9.19)–(18.9.28). …

15: 10.43 Integrals

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§10.43(i) Indefinite Integrals

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16: Bibliography M

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Chebyshev polynomials of the second, third and fourth kinds in approximation, indefinite integration, and integral transforms. In Proceedings of the Seventh Spanish Symposium on Orthogonal Polynomials and Applications (VII SPOA) (Granada, 1991), Vol. 49, pp. 169–178.

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External Links:

ISSN 0377-0427, Document, Link, MathReview Entry, ZentralBlatt

Referenced by:

Erratum (V1.0.28) for Table 18.3.1.

Encodings:

BibTeX

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On the evaluation of indefinite integrals involving the special functions: Application of method. Quart. Appl. Math. 13, pp. 84–93.

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External Links:

MathReview (A. Erdélyi), ZentralBlatt

Referenced by:

§14.17(i).

Encodings:

BibTeX

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17: 10.22 Integrals

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§10.22(i) Indefinite Integrals

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$$\int z^{-\mu -\nu +1}{𝒞}_{\mu }\left(az\right){𝒟}_{\nu }(az)dz=\frac{z^{-\mu -\nu +2}}{2(1-\mu -\nu )}\left({𝒞}_{\mu }\left(az\right){𝒟}_{\nu }(az)+{𝒞}_{\mu -1}\left(az\right){𝒟}_{\nu -1}(az)\right),$$ $\mu +\nu \ne 1$.

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18: 1.6 Vectors and Vector-Valued Functions

… ►Thus pairs of indefinite suffices in an expression are resolved by being summed over (or “traced” over). …