680 



BELL SYSTEM TECHNICAL JOURNAL 



TABLE I (Continued) 



Part S. Other Elementary Transcendental Functions of f. 



Pair 

 No. 



Coefficient F{f) for the 

 Cisoidal Oscillation 



Coefficient G{g) for the 

 Unit Impulse 



801. 



802. 



803. 



804. 



805. 



exp (— a^p) 

 p exp (— a^p) 



- [1 - exp (- aV^)] 



-,[1 -exp(-aV/>)]+-^ 



1 — exp (— a'Sp) 



Pip + 7) 



806. 



807. 



808. 



809. 



V^ exp (- a^p) 

 1 



Vp 



exp ( — a V/)) 



— T-exp(- a^lp) +- 

 \cp\p p 



exp (— a V/)) 



1 + ^^P 



7= exp 





erf 



2^lg 



<g 

 <g 



+ f)-'ii 



^'|^exp(-aV— )erfc(^ 



_ V - 7g j + exp (a V — 7) erfc ( -^ 

 + V- yg\] + i- erf 



Vi 



_a 1 _ 



2Vg 7 



0<| 



(|-0^^-^K-l)' 



e^P - 7- . < i 



<| 



1 / a'-\ 



— r= exp I — — I , 



Vvrg V 4g / 



a \7r \ 4g / 2Vg' 



1 / a2\ 1 ^V^ + g 

 — = exp ( - _ ) - - exp ^ 



Xerfc 



«V^ + 2g 



2V/3g 



~-^, < J 



A star marks a pair as being the limit approached by reguhir pairs. 



