### Browsed byCategory: Number 2

On Two General Integrals Involving Humbert's and Kummer's Hypergeometric Functions Ahmed Ali Atash, Hussein Saleh Bellehaj

## On Two General Integrals Involving Humbert's and Kummer's Hypergeometric Functions Ahmed Ali Atash, Hussein Saleh Bellehaj

Abstract: The aim of this paper is to apply generalized Kummer's theorem and generalized Dixon's theorem due to Lavoie et al. to establish two general integrals involving Humbert's functions of two variables $\varPhi_2$, $\varPsi_2$ and Kummer's function ${}_1F_1$. Some interesting...

On a Conjecture on Unimodal Sequences Gholamhassan Shirdel, Maryam Sarabadan

## On a Conjecture on Unimodal Sequences Gholamhassan Shirdel, Maryam Sarabadan

Abstract:  Wang and Yeh proved that if $P(x)$ is a polynomial with non-negative and nondecreasing coefficients, then $P(x + d)$ is unimodal for any $d > 0$. A mode of a unimodal polynomial $f(x) = a_0 + a_1x +\cdots+a_mx^m$ is an index $k$ such that...

Eco-epidemiological prey-predator model for limited growth prey species and susceptible-infected species S. Vijaya, J. Jayamal Singh and E. Rekha

## Eco-epidemiological prey-predator model for limited growth prey species and susceptible-infected species S. Vijaya, J. Jayamal Singh and E. Rekha

Abstract: Presented dynamical behavior of a prey--predator system where both prey and predator populations are affected by diseases with susceptible--infected. We also analysis the system of equilibrium point and stability analysis. A system of four differential equation susceptible--infected prey species and predator species has been proposed...

Some weaker forms of Continuity in Bitopological ordered spaces M. Y. Bakier, A. F. Sayed

## Some weaker forms of Continuity in Bitopological ordered spaces M. Y. Bakier, A. F. Sayed

Abstract:  The main purpose of the present paper is to introduce and study some weaker forms of continuity in bitopological ordered spaces .Such as pairwise $I$-continuous maps, pairwise $D$-continuous maps, pairwise $B$-continuous maps, pairwise $I$-open maps, pairwise $D$-open maps, pairwise $B$-open maps, pairwise $I$-closed maps,...

Local Convergence of a multi-point family of high order methods in Banach spaces under H$\ddot{o}$lder continuous derivative Ioannis K. Argyros, Santhosh George

## Local Convergence of a multi-point family of high order methods in Banach spaces under H$\ddot{o}$lder continuous derivative Ioannis K. Argyros, Santhosh George

Abstract:  We present a local convergence analysis for a multi-point family of high order methods in order to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given for these methods under H$\ddot{o}$lder continuity conditions....

Compatible mappings of types using implicit relations in fuzzy metric spaces Pawan Kumar, Z.K.Ansari and Balbir Singh

## Compatible mappings of types using implicit relations in fuzzy metric spaces Pawan Kumar, Z.K.Ansari and Balbir Singh

Abstract: In this paper, we prove some fixed point theorems with the notions of compatible mappings of type$(R)$, of type $(\chi)$ and of type $(E)$ using implicit relations in fuzzy metric space. Keywords: Fuzzy metric space, Compatible mappings, Compatible mappings of type $(R)$, of type $(\chi)$, of...

On fuzzy simply* Lindelof spaces G.Thangaraj and S.Dharmasaraswathi

## On fuzzy simply* Lindelof spaces G.Thangaraj and S.Dharmasaraswathi

Abstract: In this paper, the concept of fuzzy simply* Lindelof spaces is introduced and several characterizations of fuzzy simply* Lindelof spaces are given. The conditions under which fuzzy simply* Lindelof spaces become fuzzy simply Lindelof spaces, are obtained. Keywords: Fuzzy nowhere dense set, fuzzy first category set,...

Recursive generation of prime numbers in the space of discrete geometries Yury Grigoryan, Yeghisabet Alaverdyan

## Recursive generation of prime numbers in the space of discrete geometries Yury Grigoryan, Yeghisabet Alaverdyan

Abstract: New method of generating prime numbers through quantization of discrete geometrical space is proposed. It is shown that quantization of the geometrical space results in stratification of the space into subspaces in such a way that to each subspace a distinct indivisible line is associated....

Two-Dimensional Conservative Solute Transport with Temporal and Scale-Dependent Dispersion: Analytical Solution R. R. Yadav and Lav Kush Kumar

## Two-Dimensional Conservative Solute Transport with Temporal and Scale-Dependent Dispersion: Analytical Solution R. R. Yadav and Lav Kush Kumar

Abstract: This study develops a mathematical model for two-dimensional solute transport in a semi-infinite heterogeneous porous medium. The geological formation is initially not solute free. The nature of pollutants is considered conservative and gives out from space and time-dependent pulse type point source. Dispersion coefficient is...

Note on the Kung-Traub Conjecture for Traub-type two-point Iterative methods for Quadratic Equations Kalyanasundaram Madhu

## Note on the Kung-Traub Conjecture for Traub-type two-point Iterative methods for Quadratic Equations Kalyanasundaram Madhu

Abstract: In this work, we have developed two-point iterative methods with three function evaluations reaching more than fourth order convergence. Furthermore, we show that with the same number of function evaluations we can develop higher order two-point methods of order $r+3$, where $r$ is a...

A class of multivalent analytic functions associated with fixed second coefficient M. Elumalai, S. Chinthamani and R. Ambrose Prabhu

## A class of multivalent analytic functions associated with fixed second coefficient M. Elumalai, S. Chinthamani and R. Ambrose Prabhu

Abstract: In this present paper we obtain certain results on multivalent analytic functions, as an application of the principle of subordination, with fixed second coefficient. The influence of the second coefficient of $p$-valent analytic functions is realized in the results obtained. Keywords: Analytic functions, $p-$valent starlike...