On Some Identites and Generating Functions for (s,t)-Pell and (s,t)-Pell-Lucas Numbers

Somnuk Srisawat, Wanna Sriprad

Abstract


In this paper, we obtain the Binet's formula for (s; t)-Pell and (s; t)-Pell-Lucas numbers and then we get some identities for these numbers by using the Binet's formula. Moreover, we obtain the generating functions for (s; t)-Pell and (s; t)-Pell-Lucas sequences and another expression for the general term of the sequences by using the ordinary generating functions.

 


Keywords


Pell number; Pell-Lucas number; (s; t)-Pell number; (s; t)-Pell-Lucas number; Binets formula;

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SCIENCE  AND  TECHNOLOGY  RMUTT  JOURNAL
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