mathematica moravica vol 15 2 2011 19 27 continued fractions expansion of d and pell equation x2 dy2 1 ahmet tekcan abstract let d 6 1 be a positive non ...
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...Mathematica moravica vol continued fractions expansion of d and pell equation x dy ahmet tekcan abstract let be a positive non square integer in the rst section we give some preliminaries from equations simple con tinued fraction second formula for dforsomespecicvaluesofdand then consider solutions these values including recurrence relations on it introduction suppose that any n xed is known as nisthenegative named after john mathematician who searched to this type seventeenth century ironically was not work problem nor did he contribute our knowledge solving euler brought us function accidentally name stuck has innitely many y therst trivial solution which all others are easily computed can found using e g cyclic method india th or slightly less ecient but more regular english there other methods compute so called fundamental based root further details see received by editors mathematics subject classication primary secondary key words phrases c dand classical studied brahmagupta bhas...