Irrationality measures for the series of reciprocals from recurrence sequences

[摘要] Using Pade approximations of Heine's q-hypergeometric series we obtain new irrationality measures for the values of the series Sigma(n=1)(infinity) t(n)/W-n, where W-n, is a Fibonacci or Lucas type arithmetical form satisfying the recurrence Wn+2 = rW(n+1) + sW(n), r,s is an element of Q* with initial values W-1, W-2 and t is an element of Q. (C) 2002 Elsevier Science (USA).

[发布日期] 2002-10-01

[关键词] Pade approximation;q-hypergeometric;irrationality measure;recurrence;Fibonomials