p-adic interpolation of the Fibonacci sequence via hypergeometric
Recommend Documents
integer sequence, called the Fibonacci sequence, and characterized by the fact ... For message = "The Da Vinci Code is a 2003 mystery-detective novel by Dan.
The Fibonacci and Lucas sequences are well-known examples of second order recurrence sequences, which belong .... Theorem (3.5): (Catalan's Identity) Let n.
sequence. Our results indicate that the following are all subsumed by the geometry of this equation: the Fibonacci sequence, a sequence of powers of Φ, ...
The Fibonacci Sequence Under Various Moduli Marc Renault May, 1996 A thesis submitted to Wake Forest University in partial fulfillment of the degree of
The Fibonacci sequence is defined by f0 = 0, f1 = 1 and fn = fnâ1. + fnâ2 ... Several Hessenberg matrices whose determinants are Fibonacci numbers have been.
We produce an extended Binet's formula for the sequence {qn} and, thereby,
identities ... generalization of Binet's formula (via generating functions) and then
will ...
Mar 23, 2014 - in this light. Key words: Fibonacci, Medieval, Islam (Medieval), Greek, Egyptian, ... The Fibonacci number sequence appeared in the solution ..... In retrospect, when considering the advance Muslim scholars had over Eu- ..... of a gold
Mar 23, 2014 - the activities of what we now call astronomy (a respectable science involving classical ... Bejaia had reached a peak as a major center in North Africa ...... AC = CD = Ï, the triangle ACD is also isosceles by construction and the.
Mar 23, 2014 - Courtesy of Warren Wilson College Physics. Dept. [Collins,2011]. .... [CHS,1971, Coolidge,1990]) knew about bino- mial coefficients and this ...
Jan 23, 2013 - application of the Fibonacci numbers. The Fibonacci num- ... and their related higher-order sequences are generally studied as sequence of ...
Based on Faá di Bruno's formula and logarithmic differentiation, the Hermite interpolation polynomial is explicitly expressed in terms of cycle index in this pa-.
The Fibonacci sequence was firstly used in the theory of sequence spaces by Kara ... i-Cauchy; Fibonacci i-bounded; Lipschitz function ...... We investigated the general type of convergence, that is, Fibonacci I- ... Numerical Functional Analysis and
SERGIO FALCON verified the limit of the quotient of two terms is: lim nââ. Fk,n+r. Fk,n. = Ïr. (3). In particular, if k = 1, then Ï is the Golden Ratio, Ï = 1+â5. 2.
Jan 23, 2015 - tiling of a n-board is unbreakable at cell k if a domino occupies cell k and k + 1 (cf. [9]). It is not difficult to show that F. (s) n+1(q) counts the latter ...
Apr 4, 2016 - Abstract. In this paper, we define the bi-periodic Fibonacci matrix sequence ... specially, Physics, Engineering, Architecture, etc.[8]. After the ...
[17] Stanley, Richard and Weisstein, Eric W. Catalan Number. From MathWorldâA. Wolfram Web Resource. http://mathworld.wolfram.com/CatalanNumber.html.
Oct 4, 2017 - Where t is generation class, produces a number sequence for an ... sequence in the adjoint of Jacobian matrices which can arise in simple.
Nov 4, 2012 - (Ttn (0),Ttn+1(0),...,Ttn+lnâ1(0)). (4). In order to prove (4), we focus our attention on the intervals of the column. Sn+1 and on their left endpoints.
Jordan-Fibonacci sequence to groups, and then we examine this sequence in the ...... Tas, S, Karaduman, E: The Padovan sequences in finite groups. Chiang ...
Fibonacci and Lucas numbers cover a wide range of interest in modern .... mensional Fibonacci sequence given in (1) and v(k) be a solution to the second order.
method compares favorably with McMillan's interpolation based ... the set of reachable states seems similar to McMillan's in- terpolation ...... [7] William Craig.
Sum of Two Dimensional Fibonacci Sequence by Solutions of. Second Order Difference Equations. G. B. A. Xavier, S. U. V. Kumar, B. Mohan. Abstract: In this ...
Apr 24, 2018 - Let us consider the real function h(x) = a2x â 1 ... a2x that is positive for a > 1 and every real number x, which means that the function h(x) (with ...
Dec 18, 2017 - n) and Lucas sequence (li n). In [13], the authors define the k sequences of the generalized order$k Pell numbers as follows: for n > 0 and 1 # i ...
p-adic interpolation of the Fibonacci sequence via hypergeometric
R â R such that /(n) = Fn for positive integers n is immediate and the question then ... expressions, both p-adic and real, for the Fibonacci sequence in terms of ... fact represents a continuous function of n from Zp to Zp, where Zp denotes the ring of ... sequence {an} can be p-adically interpolated only if aÐС 1 (mod p), since ...