transformaty4 (2)

334 INTEGRAL EQUATI0NS ANO THEIR APPLICATIONS

Tabie B.2: (Continued)

	F(s)	m
122.	ln 5 s	—(ln / + y), y = Euler's constant, = 0.5772156
123.	(y + U\s) s	ln /
124.	~y^(ln4 s + y)	ln/ Ti
125.	(lns)^2 J	(In l + y)^2-~ 0
126.	1 lns	roo ^r-l / -dr Jo r(r)
127.	K^2 y+ In (s)^2 6.V 5	ln^2/
128.	r'(n + 1) — r(« + 1) In s * ^M> ‘	/"In/
129.		1 -e°' /
130.		gbl _ ga, t
131.	In [(s^2 + <j^2)/o^2] 2s	_ , COS Z Q(at) = / -dz Jat r
132.	In [(.v + a)/a] s	roo e-z Ej(at) = / -dx Ja x
133.	s^2 + a^2	2(cos at — cos bt)
	s^2+b^2	t
134.	e~^a“	S(l-a)
135.	s	i/(/ - a)
136.	g-a^1/** s	MasTt)
137.	lan-^1 Q	sin at t
138.	tan^-1 (a/s) s	„ „ /■" sin t ■S/(a/)= / -dz Jo x

Tablc B.2: (Continued)

	FU)	/(O
139.	gOl* -yrerfcisfufś) s/s	e-2jrt •Jnt
140.	e^5erfc(s/2a)	—e-°^2>^2 v^F
141.	er fc(s/2a) s	erf(at)
142.	e^erfey/as	l y/n(t + a)
143.	e^mEi(as)	1 / -ba
144.	* c-a^2/As y/Ts	cos ay/t TTyft
145.	^a e-«^2/4.v 2^3/2	sin ayft n
146.	~7s	cosh 2\ft St
147.	e'l* Sy/Ś	sinh 2yfi y/H
148.	e-°s*	^a „-a^2/*' 2yfHW
149.	1 - e~^a^^ss	"^r{ir)
149a.	e-afs s	"^/etó)
150.	e~^af* f*	_L e-J/41 yfiit
151.	e-aS* y/Ś(y/Ś + b)	eHI>l+a)erjc yj -f- —^
152.	s(b+ y/s)
152a.	e-ajs SyfŚ	3 <3 1 1

(Continued)