2020-02-28T22:14:10Z http://www.kjm-math.org/?_action=export&rf=summon&issue=8263
2018-07-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2018 4 2 Accurate Numerical Method for Singularly Perturbed Differential-Difference Equations with Mixed Shifts Diddi Kumara Swamy Kolloju Phaneendra Y.N. Reddy This paper is concerned with the numerical solution of the singularly perturbed differential-difference equations with small shifts called delay and advanced parameters. A fourth order finite difference method with a fitting factor is proposed for the solution of the singularly perturbed differential-difference equations with mixed shifts. The delay and advanced shifts are managed by Taylor series and an asymptotically equivalent singularly perturbed two-point boundary value problem is obtained. A fitting factor is introduced in the fourth order finite difference scheme for the problem which takes care of the small values of the perturbation parameter. This fitting factor is obtained from the asymptotic solution of singular perturbations. Thomas algorithm is used to solve the discrete system of the difference scheme. Convergence of the proposed method is analyzed. Maximum absolute errors in comparison with the several numerical experiments are<br />tabulated to illustrate the proposed method. Singularly perturbed differential-difference equation Fitting factor Boundary Layer Tridiagonal system Truncation error 2018 07 01 110 122 http://www.kjm-math.org/article_57949_faad09b64d50416a8548558290d7ffba.pdf
2018-07-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2018 4 2 On Certain Results Involving a Multiplier Transformation in a Parabolic Region Richa Brar Sukhwinder Billing We, here, obtain certain results in subordination form involving a multiplier transformation in a parabolic region. In particular, using different dominants in our main result, we derive certain results on parabolic starlikeness, starlikeness, convexity, uniform convexity, strongly starlikeness, close-to-convexity and uniform close-to-convexity of p-valent analytic functions as well as univalent analytic functions. Analytic function parabolic starlike function uniformly convex function differential subordination multiplier transformation 2018 07 01 123 143 http://www.kjm-math.org/article_60177_7ab19b219bbfb0fdfc4ef62533b63751.pdf
2018-07-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2018 4 2 More on Convergence Theory of Proper Multisplittings Chinmay Giri Debasisha Mishra In this paper, we first prove a few comparison results between two<br />proper weak regular splittings which are useful in getting the<br />iterative solution of a large class of rectangular (square singular)<br />linear system of equations \$Ax = b\$, in a faster way. We then derive<br />convergence and comparison results for proper weak regular<br />multisplittings. Moore-Penrose inverse proper splitting multisplittings convergence theorem comparison theorem 2018 07 01 144 154 http://www.kjm-math.org/article_60178_45b35ce601f0a41c767c604a5ff62498.pdf
2018-07-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2018 4 2 Uniqueness of Meromorphic Functions with Regard to Multiplicity Harina Waghamore Naveenkumar Sannappala In this paper, we investigate the uniqueness problem on meromorphic functions concerning differential polynomials sharing one value. A uniqueness result which related to multiplicity of meromorphic function is proved in this paper. By using the notion of multilplicity our results will generalise and improve the result due to Chao Meng . uniqueness meromorphic function differential polynomial multiplicity 2018 07 01 155 166 http://www.kjm-math.org/article_60179_60795f61bcd501613831c381bf36238c.pdf
2018-07-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2018 4 2 Expanding the Applicability of Generalized High Convergence Order Methods for Solving Equations Ioannis K Argyros Santhosh George  The local convergence analysis of iterative methods is important since it indicates the degree of difficulty for choosing initial points. In the present study  we introduce generalized three step high order methods for solving nonlinear  equations. The local convergence analysis is given using hypotheses only on the first derivative, which actually appears in the methods in contrast to earlier  works using hypotheses on higher derivatives. This way we extend the applicability of these methods. The analysis includes computable radius of convergence  as well as error bounds based on Lipschitz-type conditions, which is not given in earlier studies. Numerical examples conclude this study. Three step method local convergence Fr'echet derivative system of equations Banach space 2018 07 01 167 177 http://www.kjm-math.org/article_63368_012c2c785e1430a9ff18422feb561db6.pdf
2018-07-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2018 4 2 Generalized Ricci Solitons on Trans-Sasakian Manifolds Mohd Siddiqi The object of the present  research  is to  shows that a trans-Sasakian manifold, which also satisfies the Ricci soliton and generalized Ricci soliton equation, satisfying some conditions, is necessarily the Einstein manifold. Generalized Ricci Solitons trans-Sasakian manifold Einstein manifold 2018 07 01 178 186 http://www.kjm-math.org/article_63446_eabee94b9a3fd4c91d2e2429b5763ac2.pdf
2018-07-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2018 4 2 On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions Emeka Mazi Şahsene Altinkaya In this paper, we introduce a new subclass of biunivalent function class \$Sigma\$ in which both \$f(z)\$ and \$f^{-1}(z)\$ are m-fold symmetric analytic functions. For functions of the subclass introduced in this paper, we obtain the coefficient bounds for \$|a_{m+1}|\$ and \$|a_{2m+1}|\$ and also study the Fekete-Szegö functional estimate for this class. Consequences of the results are also discussed. Biunivalent functions coefficient bounds pseudo-starlike functions Fekete-Szegö functional estimates Taylor-Maclaurin coefficients subordination 2018 07 01 187 197 http://www.kjm-math.org/article_63470_def95421626bd10dbaaaf7b380ff11dd.pdf
2018-07-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2018 4 2 Solvability of Nonlinear Goursat Type Problem for Hyperbolic Equation with Integral Condition Taki Eddine Oussaeif Abdelfatah Bouziani This paper is concerned with the existence and uniqueness of a strong solution for linear problem by using a functional analysis method, which is based on an energy inequality and the density of the range of the operator generated by the problem. Applying an iterative process based on results obtained from the linear problem, we prove the existence and<br />uniqueness of the weak generalized solution of nonlinear hyperbolic Goursat problem with integral condition. Energy inequality Goursat equation nonlinear hyperbolic problems integral condition a priori estimate 2018 07 01 198 213 http://www.kjm-math.org/article_65161_8fed2a0e71a8af7d76b734e82401f3b2.pdf