# Research Papers/Topics in Mathematics

##### The Series of Reciprocals of The Primes Diverges

This paper gives a detailed proof of Euler's theorem, which is the divergence of a series of reciprocals of the primes. The key idea of the proof is to assume the series converges and then complete the proof by contradiction.&nbsp;

7 PAGES (1569 WORDS)
##### FIVE FIGURES OF KIFILIDEEN (POWER OF BASE 11) AND ANTIKIFILIDEEN (ANTIPOWER OF BASE 11) TABLES

The four figures of power of base numbers tables is need to be created for easy synchronization with existing&nbsp;Logarithm table of power of base 10 which is working on four figures. Although the five figures of power of base&nbsp;numbers tables is more accurate because it is having less approximation in its establishment. The four figure tables is&nbsp;easy to compute doing utilization because it is having less digit to work with. This paper presents the four and five&nbsp;figures of Kifil...

4 PAGES (4500 WORDS)
##### FOUR FIGURES OF KIFILIDEEN (POWER OF BASE 11)

The four figures of power of base numbers tables is need to be created for easy synchronization with existing&nbsp;Logarithm table of power of base 10 which is working on four figures. Although the five figures of power of base&nbsp;numbers tables is more accurate because it is having less approximation in its establishment. The four figure tables is&nbsp;easy to compute doing utilization because it is having less digit to work with. This paper presents the four and five&nbsp;figures of Kifil...

6 PAGES (4478 WORDS)
##### The Challenges Of Tertiary Mathematics In Nigeria's Economic Goals Of Vision 2010

ABSTRACT Nigeria aspires for qualitative education as well as economic prosperity in the year 2010. It is envisaged that there will be a high level of technological sophistication by the twenty-first century world wide. In order not to be left behind there is need for Nigeria to take steps in ensuring high technological advancement as well as having sustainable economic growth. The important role that mathematics plays in science and technology has ensured its inclusion as a compulsory ...

10 PAGES (3170 WORDS)
##### New Exact Models For Anisotropic Matter With Electric Field

Abstract. We generate two new exact models for the Einstein–Maxwell field equations. In our models, we consider the stellar object that is anisotropic and charged with linear equation of state consistent with quark stars. We have a new choice of measure of anisotropy that is physically reasonable. It is interesting that in our models we regain previous isotropic results as special cases. Isotropic exact solutions regained include models by Komathiraj and Maharaj; Mak and Harko; and Misn...

9 PAGES (5787 WORDS)
##### The q-Analogues of Some Inequalities for the Digamma Function.

AbstractIn this paper, we present the q-analogues of some inequalities concerning the digamma function.

5 PAGES (1115 WORDS)
##### Some gamma function inequalities occurring in probability theory

AbstractBy utilizing some basic analytical techniques, the authors establish some new Gamma function inequalities occurring in the study of Probability Theory.

5 PAGES (1555 WORDS)
##### The (P,Q)-Analogues Of Some Inequalities For The Digamma Function

Abstract. In this paper, we present the (p,q)-analogues of some inequalities concerning the digamma function. Our results generalize some earlier results.

5 PAGES (1606 WORDS)
##### Some Inequalities for the k-Digamma Function

AbstractSome inequalities involving the k-digamma function are presented. These results are the k-analogues of some recent results.

5 PAGES (1352 WORDS)
##### Some Inequalities For Q And (Q,K) Deformed Gamma Functions

Abstract&nbsp;In this short paper, the authors establish some inequalities involving the q and (q,k) deformed Gamma functions by employing some basic analytical techniques.&nbsp;

6 PAGES (1807 WORDS)
##### The k-Analogues of Some Inequalities for the Digamma Function

AbstractIn this paper, we present the k-analogues of some inequalities concerning the digamma function.

5 PAGES (1063 WORDS)
##### Some Inequalities For The (Q, K)-Digamma Function

Abstract Some inequalities involving the (q, k)-digamma function are presented. These results are the (q, k)-analogues of some recent results.

5 PAGES (1393 WORDS)
##### The (Q, K)-Analogues Of Some Inequalities Involving The Psi Function

Abstract In this paper, the (q, k)-analogues of some inequalities involving the Psi function are presented. These results generalize some earlier results presented by W. T. Sulaiman. The approach is based on some mononicity properties of some functions involving the ψq,k function.

4 PAGES (1469 WORDS)
##### Some Inequalities for the p-Digamma Function

Abstract Some inequalities involving the p-digamma function are presented. These results are the p-analogues of some recent results.

5 PAGES (1285 WORDS)
##### Some Inequalities for the q-Digamma Function

Abstract Some inequalities involving the q-digamma function are presented. These results are the q-analogues of some recent results.

5 PAGES (1272 WORDS)

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