A Double Recurrence (Solved)

Summary: A doubly indexed recurrence relation and initial conditions are given which determine a function from $\NN \times \NN$ to the rationals, or alternatively to a matrix of rationals in which the rows and columns consist of infinite sequences. The tasks are to find an expression for the function; in addition, the problem asks for the diagonal entries and the row sums of the matrix.

Classification: Primary, classical analysis; Secondary, sequences and series

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  Mike Dawes
  Department of Mathematics
  Middlesex College
  The University of Western Ontario
  London, Ontario N6A 5B7
  Canada
  e-mail: [email protected]
  
  
• Download Solution [PDF]
  
  Terry Watts
  16 Meadow Lane
  Wool
  Wareham
  Dorset
  England BH20 6DR
  e-mail: [email protected]
  
  

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