35031 transformaty3 (2)

332 INTEGRAL EqUATIONS AND TIIP.IR APri.lCATIONS

Tablc B.2: (Continued)

	F(s)	m
88.	s^2 s^3 + a^3	i 3	e + 2c°'^/2 cos '^^al2
89.	1			tata co„	R . a/3 — v3 sin —at 2
	s^3 — a^3	3 a^1		e cos 2
90.	s	e-«>n		r- . yf}at v/3 at , n
	s^3 — a^3	3 a		2 2
91.	j^2 s^3 — a^3	i 3	e“‘ + le ^a'*^2 cos ~y~
92.	1 ,v^4 + 4a^4	-?-=■( sin at cosh at - cosat sinh at) 4 a^5
93.	s s^4 + 4a^4	sin ar sinh at 2 a^1
94.	i^2 j^4 + 4a^4	— (sin at cosh at + cos at sinh at) 2 a
95.	S^3 ,v^4 + 4a^4	cos at cosh at
96.	1 ,v^4 — a^4	—r(sinha/ — sina/) 2 a*
97.	s s^4 — a^4	—-r( cosh at - cos at) 2 a^1
98.	0 j^4 — a^4	—(sinh a/-f sin at) 2 a
99.	1 0 U	cosh at + cos at)
100.	1 T*	1 yfnt
101.	i Sy/Ś	lyftjn
102.	s + a Sy/Ś	1 + lat sfnt
103.	1 y/s + a	■fiu
104.	•c 1 1 S 1	e^b' - e°‘ Ityfnt

Tablc B.2: (Continued)

	m	m
105.	1	e-bl _ e-al
	+a + s/.v+b	2 (/> — a)\Znt^2
106.	i	erf s/ai
	■is/s +a	V*
107.	1	e^a,erf -Jat
	y/ś{s — a)
108.	1	r^at ^ fMU r*\\
	y/s — a + b	e — ^ <>/1Jł V7T/
109.	1	•A>(«0
	\/s^2 + a^2
110.	1	/o(«0
	V.v^2 — a^2
III.	(V.v^2 + a^2 — s)^n - ■ ■ —, n>—1 •>/ s^2 + a^2	a"J„{at)
112.	(.v — s/s^1 — a^2)"	a"l„(at)
	\fs^2 — a^2
113.	CM< - vV + a^2)	Ma^/t(t + 26))
114.	ę-hy/s* + a^2	J0(aVt^2-b^2), t > b 0, t <l)
	s/.V^2 + fl^2
115.	1	4 "n\
	S"y/Ś	(2n)!v6r
116.	1	/./|(a0
	(i^2 + (ł^2)'^1/^2	a
117.	5	I Mat)
	(.v^2 +o^2)^3/2
118.	.V^2	M^a0 ~ atJ\{at)
	(A^2+fl^2)^3/^2
119.	1	t /| (at)
	(s^ — a^3/2	a
120.	s	t Mat)
	(*^2-«^2)^3/^2
121.	i^2	la(at) +at I\(at)
	(A-^2-O^2)^3/^2

(Continued)