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 New Online Book! Handbook of Mathematical Functions (AMS55) Conversion & Calculation Home >> Reference Information Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) Purchase the electronic edition of this book in Adobe PDF format! FIRST | PREVIOUS | NEXT | LAST | CONTENTS | PAGE | ABOUT | MEDIUM | LARGE Below is the OCR-scanned text from this page: LAPLACE TRANSFORMS 1021 29.2.11 29.2.12 29.2.13 29.2.14 29.2.15 29.2.16 29.2.17 Original Function F ( t ) 1 t - F(t) eatF(t) Translation F( t - b) u (t - b) ( b >O) Periodic Functions F(t +a) =F(t) 29.2.20 Image Function f(s) Integration 1-f ( 4 d X Linear Transformation f ( 8 - 4 e - "(s) Half-Wave Rectification of F ( t ) in 29.2.17 ' 29.2.18 F(t) 5 (-l)"u(t-na) n=O Full-Wave Rectification of F ( t ) in 29.2.17 29.2.19 lF(t) I eat p('-n)(a) tn-1 29.2.21 n=1 (r-n)! (n-l)! Heaviside Expansion Theorem as f (8) coth - 2 p w q(s)=(s-aJ(s-az) . . . (s-a,,) n(s> p(s) a polynomial of degree