检索结果-南通市图书馆

The Some Sum Formula for Generalized fibonacci numbers

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2007年第2期22卷 258-265页

作者：席高文刘麦学 Department of Mathematics and Information Science Luoyang Teacher's College

This note provides the some sum formulas for generalized fibonacci numbers. The results are proved using clever rearrangements, rather than using induction.

关键词： fibonacci numbers sum formulas induction

Summation of Reciprocals Related to Square of Products of fibonacci numbers

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2009年第3期24卷 400-406页

作者：席高文王淑玉 Department of Mathematics and Physics Chongqing University of Science and Technology College of Mathematics Science Luoyang Teachers College

By applying the method of on summation by parts,the purpose of this paper is to give several reciprocal summations related to squares of products of the fibonacci numbers.

关键词： fibonacci numbers summation square reciprocal

Some Identities Involving Square of fibonacci numbers and Lucas numbers

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2004年第1期19卷 67-68页

作者： LIUDuan-sen LIChao YANGCun-dian CollegeofMathematicsandInformationScience HenanUniversityKaifeng475001China InstituteofMathematics ShangluoTeacher＇sCollegeShangluo726000China InstituteofMathematics ShangluoTeacher＇sCollegeShangluo726000China

By studying the properties of Chebyshev polynomials, some specific and mean-ingful identities for the calculation of square of Chebyshev polynomials, fibonacci numbersand Lucas numbers are obtained.

关键词： Chebyshev polynomials fibonacci numbers Lucas numbers identity

On the Norms of r-Toeplitz Matrices Involving fibonacci and Lucas numbers

在线全文

学校读者我要写书评

暂无评论

Advances in Linear Algebra & Matrix Theory 2016年第2期6卷 31-39页

作者： Hasan Gökbaş Ramazan Türkmen Semsi Tebrizi Anatolian Religious Vocational High School Konya Turkey Science Faculty Selcuk University Konya Turkey

Let us define to be a r-Toeplitz matrix. The entries in the first row of are or;where Fn and Ln denote the usual fibonacci and Lucas numbers, respectively. We obtained some bounds for the spectral norm of these ma... 详细信息

关键词： r-Toeplitz Matrix fibonacci numbers Lucas numbers Spectral Norm

Polynomial Generalizations and Combinatorial Interpretations for Sequences Including the fibonacci and Pell numbers

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Open Journal of Discrete Mathematics 2013年第1期3卷 25-32页

作者： Cecília Pereira de Andrade Jose Plinio de Oliveira Santos Elen Viviani Pereira da Silva Kenia Cristina Pereira Silva Universidade Estadual de Campinas Campinas-SPSao PauloBrazil

In this paper we present combinatorial interpretations and polynomials generalizations for sequences including the fibonacci numbers, the Pell numbers and the Jacobsthal numbers in terms of partitions. It is important to mention that results of this nature were given by Santos and Ivkovic in two papers published on the fibonacci Quarterly, Polynomial generalizations of the Pell sequence and the fibonacci sequence [1] and fibonacci numbers and Partitions [2] , and one, by Santos, on Discrete Mathematics, On the Combinatorics of Polynomial generalizations of Rogers-Ramanujan Type Identities [3]. By these results one can see that from the q-series identities important combinatorial information can be obtained by a careful study of the two variable function introduced by Andrews in Combinatorics and Ramanujan's lost notebook [4].

关键词： Partitions fibonacci numbers Pell numbers Jacobsthal numbers q-Analog

On the Norms of r-Hankel Matrices Involving fibonacci and Lucas numbers

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Applied Mathematics and Physics 2018年第7期6卷 1409-1417页

作者： Hasan Gokbas Hasan Kose Semsi Tebrizi Girl Anatolian Religious Vocational High School KonyaTurkey Science Faculty Selcuk UniverstyKonyaTurkey

Let us define A=Hr=(aij)?to be n×n?r-Hankel matrix. The entries of matrix A are Fn=Fi+j-2?or Ln=Fi+j-2?where Fn?and Ln?denote the usual fibonacci and Lucas numbers, respectively. Then, we obtained upper and lower bounds for the spectral norm of matrix A. We compared our bounds with exact value of matrix A’s spectral norm. These kinds of matrices have connections with signal and image processing, time series analysis and many other problems.

关键词： Euclidean Norm Spectral Norm r-Hankel Matrix fibonacci numbers Lucas numbers

DIFFERENTIAL SUBORDINATIONS AND α-CONVEX FUNCTIONS

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2013年第3期33卷 609-620页

作者： Jacek DZIOK Ravinder Krishna RAINA Janusz SOKóL Department of Mathematics Institute of Mathematics University of Rzeszówul. Rejtana 16A 35-310 Rzeszów Poland M.P. University of Agriculture and Technology Department of Mathematics Rzeszów University of TechnologyAl. Powstańców Warszawy 12 35-959 Rzeszów Poland

This article presents some new results on the class SLMα of functions that are analytic in the open unit disc U = {z ：｜z｜〈 1} satisfying the conditions that f（0） =0, f＇（0）= 1, and α（1＋zf＇＇（z）/f＇（z）＋（1-α）zf＇（z）/f（z）∈p（U）for all z ∈ U, where αis a real number and p（z）=1＋r^2z^2/1-Tz-T^2z^2（z∈ U）. The number T = （1 -√5）/2 is such that T^2 = 1 ＋ T. The class SFLMa introduced by J. Dziok, R.K. Raina, and J. Sokot [3, Appl. Math. Comput. 218 （2011）, 996-1002] is closely related to the classes of starlike and convex functions. The article deals with several ideas and techniques used in geometric function theory and differential subordinations theory.

关键词： Univalent functions starlike functions subordination fibonacci numbers trisectrix of Maclaurin conchoid of de Sluze

k-Order fibonacci Polynomials on AES-Like Cryptology

在线全文

学校读者我要写书评

暂无评论

Computer Modeling in Engineering & Sciences 2022年第4期131卷 277-293页

作者： Mustafa Asci Suleyman Aydinyuz Pamukkale University KinikliDenizli20160Turkey

The Advanced Encryption Standard(AES)is the most widely used symmetric cipher *** has an important place in *** field,also known as Galois Fields,are cornerstones for understanding any *** encryption method on AES is a method that uses polynomials on Galois *** this paper,we generalize the AES-like cryptology on 2×2 *** redefine the elements of k-order fibonacci polynomials sequences using a certain irreducible polynomial in our cryptology ***,this cryptology algorithm is called AES-like cryptology on the k-order fibonacci polynomial matrix.

关键词： fibonacci numbers fibonacci polynomials k-order fibonacci polynomials fibonacci matrix k-order fibonacci polynomial matrix Galois field

Complete Solution of Diophantine Pairs Induced by Some fibonacci Formula

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Algebra Colloquium 2023年第1期30卷 121-132页

作者： Jinseo Park Department of Mathematics Education Catholic Kwandong University Gangneung 25601Korea

A set[ai,a2,...,am)of positive integers is called a Diophantine m-tuple if aiaj+1 is a perfect square for all 1≤imax(a,b].In this paper,we find the condition for the reduction of third element c,and using this result,we prove the extendibility of Diophantine pair[F_(k)-1F_(k+1),F_(k-2)F_(k+2)],where Fn is the n-th fibonacci number.

关键词： Diophantine m-tuple fibonacci numbers Pell equation