Applications of Fibonacci Numbers: Proceedings of 'The Fourth International Conference on Fibonacci Numbers and Their Applications', Wake Forest University, N.C., U.S.A., July 30-August 3, 1990

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Gerald E. Bergum, Andreas N. Philippou, A. F. Horadam
Springer Science & Business Media, 1991 - Mathematics - 313 pages
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This book contains 50 papers from among the 95 papers presented at the Seventh International Conference on Fibonacci Numbers and Their Applications which was held at the Institut Fiir Mathematik, Technische Universitiit Graz, Steyrergasse 30, A-SOlO Graz, Austria, from July 15 to July 19, 1996. These papers have been selected after a careful review by well known referees in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers and recurrence relations are their unifying bond. It is anticipated that this book, like its six predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. September 1, 1997 The Editors Gerald E. Bergum South Dakota State University Brookings, South Dakota, U. S. A. Alwyn F. Horadam University of New England Armidale, N. S. W., Australia Andreas N. Philippou House of Representatives Nicosia, Cyprus xxvii THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Tichy, Robert, Chairman Horadam, A. F. (Australia), Co-Chair Prodinger, Helmut, Co-Chairman Philippou, A. N. (Cyprus), Co-Chair Grabner, Peter Bergurt: t, G. E. (U. S. A. ) Kirschenhofer, Peter Filipponi, P. (Italy) Harborth, H. (Germany) Horibe, Y. (Japan) Johnson, M. (U. S. A. ) Kiss, P. (Hungary) Phillips, G. M. (Scotland) Turner, J. (New Zealand) Waddill, M. E. (U. S. A. ) xxix LIST OF CONTRIBUTORS TO THE CONFERENCE *ADELBERG, ARNOLD, "Higher Order Bernoulli Polynomials and Newton Polygons. " AMMANN, ANDRE, "Associated Fibonacci Sequences. " *ANDERSON, PETER G., "The Fibonacci Shuffle Tree.
 

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Contents

VII
1
VIII
9
IX
17
X
33
XI
37
XII
41
XIII
51
XIV
63
XXIV
167
XXV
171
XXVI
177
XXVII
189
XXVIII
203
XXIX
215
XXX
219
XXXI
231

XV
69
XVI
77
XVII
91
XVIII
109
XIX
121
XX
127
XXI
133
XXII
139
XXIII
145
XXXII
241
XXXIII
247
XXXIV
257
XXXV
271
XXXVI
277
XXXVII
289
XXXVIII
299
XXXIX
309
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Page 316 - Fibonacci and Lucas numbers and the Morgan-Voyce polynomials in ladder networks and in electric line theory.
Page iii - Applications of Fibonacci numbers, volume 4: proceedings of "The fourth International conference on fibonacci numbers and their applications'.

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