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
1
January 2019
2013 Science and Education Publishing Co. Ltd All rights reserved.
Improved Estimate for the Prime Counting Function
http://pubs.sciepub.com/tjant/7/1/1
where This is an improvement to the estimate found in the literature.]]>
Theophilus Agama
2019-01-24Science and Education Publishing2019-01-24171410.12691/tjant-7-1-1
On Generating Functions of Quadruple Hypergeometric Function
http://pubs.sciepub.com/tjant/7/1/2
defined in [1], we introduce new generating functions involving some triple hyper-geometric functions and itself. Some particular cases and consequences of our main results are also considered.]]>
Maged G. Bin-Saad, Jihad Ahmed Younis
2019-01-29Science and Education Publishing2019-01-291751010.12691/tjant-7-1-2
Spectral Rectangular Collocation Formula: An Approach for Solving Oscillatory Initial Value Problems and/or Boundary Value Problems in Ordinary Differential Equations
http://pubs.sciepub.com/tjant/7/1/3
differentiation matrix through collocation was recently suggested to be more useful in discretization process, especially when the traditional row replacement approach fails. In this regard, we employ the state-of-the-art technique of rectangularization to discretize some oscillatory initial value problems (IVPs) and also extended the new approach to a non-linear boundary value problem (BVP). The numerical implementation was composed using some few lines of executable Python codes. Our findings are instructive and quite revealing and supported by evidence from our numerical experiments and simulations.]]>
Oluwasegun M. Ibrahim, Piers W. Lawrence
2019-02-20Science and Education Publishing2019-02-2017111710.12691/tjant-7-1-3
Monotonic Properties of Generalized Nielsen's β-function
http://pubs.sciepub.com/tjant/7/1/4
k-generalization of the Nielsen's β-function. Later, we study the completely monotonicity, convexity and inequalities of the new function.]]>
Jumei Zhang, Li Yin, Wenyan Cui
2019-02-23Science and Education Publishing2019-02-2317182210.12691/tjant-7-1-4