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f(t) =L1fF(s)gF(s) =Lff(t)gf(t) =L1fF(s)gF(s) =Lff(t)g 11 sat1 sa tn; n= 1;2;3;:::n! sn+1tp; p >1(p+ 1) sp+1 pt p 2s 3 2tn1

2; n= 1;2;3;:::135(2n1)p

2nsn+1

2 (at)a s2+a2(at)s s2+a2 t(at)2as (s2+a2)2t(at)s2a2 (s2+a2)2 (at)at(at)2a3 (s2+a2)2(at) +at(at)2as2 (s2+a2)2 (at)at(at)ss2a2 (s2+a2)2(at) +at(at)ss2+ 3a2 (s2+a2)2 (at+b)s(b) +a(b) s2+a2(at+b)s(b)a(b) s2+a2 (at)a s2a2(at)s s2a2 at(bt)b (sa)2+b2at(bt)sa (sa)2+b2 at(bt)b (sa)2b2at(bt)sa (sa)2b2 tnat; n= 1;2;3;:::n! (sa)n+1f(ct)1 cF s c uc(t) =u(tc)cs s(tc)cs uc(t)f(tc)csF(s)uc(t)g(t)csLg(t+c) ctf(t)F(sc)tnf(t); n= 1;2;3;:::(1)nF(n)(s) 1 tf(t) Z1 sF(u)du Zt

0f(v)dvF(s)

s Zt

0f(t)g()dF(s)G(s)f(t+T) =f(t)

0stf(t)dt

1sT f0(t)sF(s)f(0)f00(t)s2F(s)sf(0)f0(0) f(n)(t)snF(s)sn1f(0)sn2f0(0) sf(n2)(0)f(n1)(0) (t) =t+t

2(t) =tt

2 +a2 a2 (t) = Z1

0xxt1dx

n (n+ 1) =n! (p+ 1) =p(p) p(p+ 1)(p+ 2)(p+n1) =(p+n) (p) 1 2 =pquotesdbs_dbs10.pdfusesText_16