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31: 16.5 Integral Representations and Integrals
§16.5 Integral Representations and Integrals
… ►Then the integral converges when provided that , or when provided that , and provides an integral representation of the left-hand side with these conditions. … ►In the case the left-hand side of (16.5.1) is an entire function, and the right-hand side supplies an integral representation valid when . … ►For further integral representations and integrals see Apelblat (1983, §16), Erdélyi et al. (1953a, §4.6), Erdélyi et al. (1954a, §§6.9 and 7.5), Luke (1969a, §3.6), and Prudnikov et al. (1990, §§2.22, 4.2.4, and 4.3.1). …32: 16.15 Integral Representations and Integrals
§16.15 Integral Representations and Integrals
…33: 15.6 Integral Representations
34: 31.10 Integral Equations and Representations
§31.10 Integral Equations and Representations
… ►Kernel Functions
… ►For suitable choices of the branches of the -symbols in (31.10.9) and the contour , we can obtain both integral equations satisfied by Heun functions, as well as the integral representations of a distinct solution of Heun’s equation in terms of a Heun function (polynomial, path-multiplicative solution). … ►Kernel Functions
… ►35: 28.28 Integrals, Integral Representations, and Integral Equations
§28.28 Integrals, Integral Representations, and Integral Equations
►§28.28(i) Equations with Elementary Kernels
… ►§28.28(iv) Integrals of Products of Mathieu Functions of Integer Order
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28.28.49
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§28.28(v) Compendia
…36: 10.9 Integral Representations
37: 25.12 Polylogarithms
38: 13.4 Integral Representations
§13.4 Integral Representations
►§13.4(i) Integrals Along the Real Line
… ►§13.4(ii) Contour Integrals
… ►§13.4(iii) Mellin–Barnes Integrals
… ►39: 15.19 Methods of Computation
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