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
3
2
January 2015
2013 Science and Education Publishing Co. Ltd All rights reserved.
The Rogers-Ramanujan Identities
http://pubs.sciepub.com/tjant/3/2/1
1'(n), C''(n), and C_{1}''(n), and shows how to prove the Corollaries 1 and 2 with the help of Jacobi’s triple product identity. This paper shows how to prove the Remark 3 with the help of various auxiliary functions and shows how to prove The Rogers-Ramanujan Identities with help of Ramanujan’s device of the introduction of a second parameter a.]]>
Fazlee Hossain, Sabuj Das, Haradhan Kumar Mohajan
2015-04-01Science and Education Publishing2015-04-0123374210.12691/tjant-3-2-1
Some Generalizations of Integral Inequalities of Hermite-Hadamard Type for n-Time Differentiable Functions
http://pubs.sciepub.com/tjant/3/2/2
Tian-Yu Zhang, Bai-Ni Guo
2015-04-17Science and Education Publishing2015-04-1723434810.12691/tjant-3-2-2
Diagonal Function of k-Lucas Polynomials
http://pubs.sciepub.com/tjant/3/2/3
n+1(x)=kxG_{n}(x)+G_{n-2},(x), n≥1. with G_{0}(x)=2. and G_{1}(x)=1 Some Lucas Polynomials, rising & descending diagonal function and generating matrix established and derived by standard methods.]]>
Yogesh Kumar Gupta, V. H. Badshah, Mamta Singh, Kiran Sisodiya
2015-05-04Science and Education Publishing2015-05-0423495210.12691/tjant-3-2-3
Some Common Fixed Point Theorems Satisfying (ψ − φ) Maps in Partial Metric Spaces
http://pubs.sciepub.com/tjant/3/2/4
Reza Arab
2015-05-07Science and Education Publishing2015-05-0723536010.12691/tjant-3-2-4
On New Weighted Ostrowski Type inequalities Involving Integral Means over End Intervals and Application
http://pubs.sciepub.com/tjant/3/2/5
A. Qayyum, M. Shoaib, I. Faye
2015-05-20Science and Education Publishing2015-05-2023616710.12691/tjant-3-2-5
On Quasi Multiplicative Function
http://pubs.sciepub.com/tjant/3/2/6
functions. The Omega function is based on Euler’s Phi function and is used to find the sum of coprime integers. Euler’s Phi function, Dedekind’s psi function, the sigma function and -function play significant role in this work.]]>
Azizul Hoque, Himashree Kalita
2015-06-02Science and Education Publishing2015-06-0223686910.12691/tjant-3-2-6
On the Variations of Some Well Known Fixed Point Theorem in Metric Spaces
http://pubs.sciepub.com/tjant/3/2/7
Krishna Patel, G M Deheri
2015-06-28Science and Education Publishing2015-06-2823707410.12691/tjant-3-2-7