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Hypergeometric summation revisited S. A. Abramov
 

Summary: Hypergeometric summation revisited
S. A. Abramov
Russian Academy of Sciences
Dorodnicyn Computing Centre
Vavilova 40, 119991, Moscow GSP-1, Russia
sabramov@ccas.ru
M. Petkovseky
Faculty of Mathematics and Physics
University of Ljubljana,
Jadranska 19, SI-1000 Ljubljana, Slovenia
marko.petkovsek@uni-lj.si
Abstract
We consider hypergeometric sequences, i.e., the sequences which
satisfy linear rst-order homogeneous recurrence equations with rela-
tively prime polynomial coe cients. Some results related to necessary
and su cient conditions are discussed for validity of discrete Newton-
Leibniz formula
Pw
k=v t(k) = u(w + 1) ; u(v) when u(k) = R(k)t(k)
and R(k) is a rational solution of Gosper's equation.

  

Source: Abramov, Sergei A. - Dorodnicyn Computing Centre of the Russian Academy of Sciences

 

Collections: Mathematics; Computer Technologies and Information Sciences