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Anderssen, R. S.; de Hoog, Frank R.; Rose, L. R. F.

Explicit solutions for a class of dual integral equations. (English) Zbl 0507.45005

Proc. R. Soc. Edinb., Sect. A 91, 277-285 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 2 Documents

MSC:

45F10 Dual, triple, etc., integral and series equations
45H05 Integral equations with miscellaneous special kernels
44A20 Integral transforms of special functions
33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\)
74R05 Brittle damage

Keywords:

Bessel function; crack problems of linear elasticity; dual integral equations; Fredholm equation; Green’s function; Bessel type differential operator
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References:

[1] Sneddon, Crack Problems in The Classical Theory of Elasticity (1969) · Zbl 0201.26702
[2] Abramowitz, Handbook of Mathematical Functions (1965)
[3] Gradshteyn, Table of Integrals, Series, and Products (1980) · Zbl 0521.33001
[4] DOI: 10.1093/qjmam/9.1.103 · Zbl 0070.10401 · doi:10.1093/qjmam/9.1.103
[5] DOI: 10.1017/S0305004100036987 · doi:10.1017/S0305004100036987
[6] Noble, J. Math. Phys. 37 pp 128– (1958) · Zbl 0082.32001 · doi:10.1002/sapm1958371128
[7] DOI: 10.1115/1.3423949 · Zbl 0347.73068 · doi:10.1115/1.3423949
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