On Certain Dual Integral Equations
1961 ◽
Vol 5
(1)
◽
pp. 21-24
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Keyword(s):
In his book on Fourier Integrals, Titchmarsh [l] gave the solution of the dual integral equationsfor the case α > 0, by some difficult analysis involving the theory of Mellin transforms. Sneddon [2] has recently shown that, in the cases v = 0, α = ±½, the problem can be reduced to an Abel integral equation by making the substitutionorIt is the purpose of this note to show that the general case can be dealt with just as simply by puttingThe analysis is formal: no attempt is made to supply details of rigour.
1969 ◽
Vol 16
(3)
◽
pp. 185-194
◽
1963 ◽
Vol 59
(2)
◽
pp. 351-362
◽
1960 ◽
Vol 4
(3)
◽
pp. 108-110
◽
1977 ◽
Vol 18
(2)
◽
pp. 175-177
◽
1961 ◽
Vol 12
(3)
◽
pp. 119-122
◽
Keyword(s):
1963 ◽
Vol 15
◽
pp. 631-640
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1951 ◽
Vol 205
(1081)
◽
pp. 286-308
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1958 ◽
Vol 11
(2)
◽
pp. 115-126
◽
1966 ◽
Vol 15
(1)
◽
pp. 73-74
1986 ◽
Vol 9
(2)
◽
pp. 293-300
◽