﻿898 
  Dr. 
  I. 
  J. 
  Schwatt 
  on 
  a 
  Method 
  for 
  the 
  

  

  in 
  the 
  expression 
  obtained 
  the 
  real 
  from 
  the 
  imaginary 
  part, 
  

   we 
  finally 
  have 
  

  

  2KW-HST 
  

   h 
  COS 
  

  

  [(^-ffl 
  ^ 
  iN 
  4-M 
  + 
  ^sin 
  " 
  , 
  J 
  + 
  6 
  cos_ 
  ^~cos 
  

  

  University 
  of 
  Pennsylvania, 
  

   Philadelphia. 
  

  

  n 
  =°Ii 
  {tn 
  + 
  m) 
  

  

  Now 
  

  

  II 
  (tn 
  + 
  m) 
  

  

  tt-i^iI'- 
  1 
  ^: 
  1 
  )*^- 
  W 
  

  

  Let 
  r 
  = 
  #', 
  then 
  

  

  S= 
  -^- 
  P 
  2 
  ( 
  _d 
  /P-1YJ_ 
  S 
  

  

  IP-i«=o 
  ( 
  - 
  H 
  * 
  j^« 
  b 
  " 
  

  

  wherein 
  

  

  S, 
  = 
  2 
  ( 
  + 
  1)'^ 
  - 
  

  

  Since 
  « 
  can 
  be 
  either 
  greater 
  or 
  less 
  than 
  t 
  7 
  we 
  can 
  write 
  

   * 
  Communicated 
  bv 
  the 
  Author. 
  

  

  LXXVI. 
  A 
  Method 
  for 
  the 
  Summation 
  of 
  a 
  Type 
  of 
  Infinite 
  

   Series. 
  By 
  I. 
  J. 
  Schwatt 
  *. 
  

  

  nno 
  find 
  

  

  1 
  g 
  = 
  | 
  jr±i)^_, 
  r>( 
  , 
  

  

  

  