TY - JOUR ID - 728 TI - Toeplitz transforms of Fibonacci sequences JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Connell, L. AU - Levine, M. AU - Mathes, B. AU - Sukiennik, J. AD - 111 W. Westminster, Lake Forest, IL 60045. AD - The Catalyst Lofts, 141 41st Street, Pittsburgh, PA 15201. AD - 5839 Mayflower Hill, Colby College, Waterville, ME 04901. Y1 - 2015 PY - 2015 VL - 41 IS - Issue 7 (Special Issue) SP - 123 EP - 132 KW - Hankel transform KW - Fibonacci numbers KW - Fibonacci identities DO - N2 - We introduce a matricial Toeplitz transform and prove that the Toeplitz transform of a second order recurrence sequence is another second order recurrence sequence. We investigate the injectivity of this transform and show how this distinguishes the Fibonacci sequence among other recurrence sequences. We then obtain new Fibonacci identities as an application of our transform. UR - http://bims.iranjournals.ir/article_728.html L1 - http://bims.iranjournals.ir/article_728_fac81767727c4a836e2fc2d91f8e8fed.pdf ER -