دانلود کتاب Applications of Fibonacci numbers. : Volume 9 proceedings of the Tenth International research conference on Fibonacci numbers and their applications

A report on the tenth international conference. Authors, coauthors and other conference participants. Foreword. The organizing committees. List of contributors to the conference. Introduction. Fibonacci, Vern and Dan. Universal Bernoulli polynomials and P-adic congruences; A. Adelberg. A generalization of Durrmeyer-type polynomials and their approximation properties; O. Agratini. Fibinomial identities; A.T. Benjamin, J.J. Quinn, J.A. Rouse. Recounting binomial Fibonacci identities; A.T. Benjamin, J.A. Rouse. The Fibonacci diatomic array applied to Fibonacci representations; M. Bicknell-Johnson. Finding Fibonacci in a fractal; N.C. Blecke, K. Fleming, G.W. Grossman. Positive integers (a2 + b2) / (ab + 1) are squares; J.-P. Bode, H. Harborth. On the Fibonacci length of powers of dihedral groups; C.M. Campbell, P.P. Campbell, H. Doostie, E.F. Robertson. Some sums related to sums of Oresme numbers; C.K. Cook. Some thoughts on rook polynomials on square chessboards; D. Fielder. Pythagorean quadrilaterals; R. Hochberg, G. Hurlbert. A general lacunary recurrence formula; F.T. Howard. Ordering words and sets of numbers: the Fibonacci case; C. Kimberling. Some basic properties of a Tribonacci line-sequence; J.Y. Lee. A type of sequence constructed from Fibonacci numbers; Aihua. Li, S. Unnithan. Cullen numbers in binary recurrent sequences; F. Luca, P. Stanica. A generalization of Euler's formula and its connection to Bonacci numbers; J.F. Mason, R.H. Hudson. Extensions of generalized binomial coefficients; R.L. Ollerton, A.G. Shannon. Some parity results regarding t-core partitions; N. Robbins, M.V. Subbarao. Generalized Pell numbers and polynomials; A.G. Shannon, A.F. Horadam. A further note on Lucasian numbers; L. Somer. Some constructions and theorems in Goldpoint geometry; J.C. Turner. Some applications of triangle transformations in Fibonacci geometry; J.C. Turner. Cryptography and Lucas sequence discrete logarithms; W.A. Webb. Divisibility of an F-L type convolution; M. Wiemann, C. Cooper. Generating functions of convolution matrices; Yongzhi (Peter) Yang. F-L representation of division of polynomials over a ring; Chizhong Zhou, F.T. Howard. Subject Index