Turkish Journal of Analysis and Number Theory
http://www.sciepub.com/journal/TJANT
Turkish Journal of Analysis and Number Theory is a peer reviewed, open access journal that devotes exclusively to the publication of high quality research and review papers in the fields of number theory and analysis. An importance is placed on a vital and important developments in number theory, analytic number theory, p-adic analysis, q-analysis with its applications, fractional calculus, functional analysis, asymptotic analysis, differential geometry, theory of mathematical inequalities, topology, geometric analysis, numerical verification method, mathematical physics, semigroup theory, relativistic quantum mechanics, summability theory, sequences and series in functional analysis, line theory, general algebra, applied mathematics, complex analysis, stochastic control and stochastic stability, matrix transformations, normed structures, fuzzy set theory, enumerative and analytic combinatorics. Turkish Journal of Analysis and Number Theory is published in partnership with Hasan Kalyoncu University. Science and Education Publishingen2013 Science and Education Publishing Co. Ltd All rights reserved.Turkish Journal of Analysis and Number Theory
7
4
January 2019
2013 Science and Education Publishing Co. Ltd All rights reserved.
Analysis of Polynomial Collocation and Uniformly Spaced Quadrature Methods for Second Kind Linear Fredholm Integral Equations – A Comparison
http://pubs.sciepub.com/tjant/7/4/1
Muhammad Mujtaba Shaikh
2019-07-13Science and Education Publishing2019-07-1347919710.12691/tjant-7-4-1
Counting Water Cells in Pattern Restricted Compositions
http://pubs.sciepub.com/tjant/7/4/2
water cell since it is a place where a liquid would collect if poured along the top part of the bargraph from above. The total number of water cells in the bargraph representation of a k-ary word then gives what is referred to as the capacity of w. Here, we determine the distribution of the capacity statistic on certain pattern-restricted compositions, regarded as k-ary words. Several general classes of patterns are considered, including and where a is arbitrary. As a consequence of our results, we obtain all of the distinct distributions for the capacity statistic on avoidance classes of compositions corresponding to 3-letter patterns having at most two distinct letters. Finally, in the case of some further enumerative results are given when a=2, including algebraic and bijective proofs for the total capacity of all Carlitz partitions of a given size having a fixed number of blocks.]]>
Toufik Mansour, Mark Shattuck
2019-07-24Science and Education Publishing2019-07-24479811210.12691/tjant-7-4-2
Generating Functions of Modified Pell Numbers and Bivariate Complex Fibonacci Polynomials
http://pubs.sciepub.com/tjant/7/4/3
Souhila Boughaba, Ali Boussayoud, Khadidja Boubellouta
2019-08-10Science and Education Publishing2019-08-104711311610.12691/tjant-7-4-3
Common Fixed Point Theorems in b-Metric Spaces
http://pubs.sciepub.com/tjant/7/4/4
b-metric spaces. Meanwhile, two examples are presented to support our results.]]>
Yan Hao, Hongyan Guan
2019-08-07Science and Education Publishing2019-08-074711712310.12691/tjant-7-4-4