Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47884220180701Accurate Numerical Method for Singularly Perturbed Differential-Difference Equations with Mixed Shifts1101225794910.22034/kjm.2018.57949ENDiddiKumara SwamyDepartment of Mathematics, Christu Jyoti Institute of Technology and
Science, Jangaon, 506167, India.KollojuPhaneendraDepartment of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, 500004,India.Y.N.ReddyDepartment of Mathematics, National Institute of Technology, Warangal,
506004, India.Journal Article20180101This 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.http://www.kjm-math.org/article_57949_faad09b64d50416a8548558290d7ffba.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47884220180701On Certain Results Involving a Multiplier Transformation in a Parabolic Region1231436017710.22034/kjm.2018.59751ENRichaBrarDepartment of Mathematics, Sri Guru Granth Sahib World University ,
Fatehgarh Sahib-140407, Punjab, India.Sukhwinder SinghBillingDepartment of Mathematics, Sri Guru Granth Sahib World University ,
Fatehgarh Sahib-140407, Punjab, India.Journal Article20181129We, 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.http://www.kjm-math.org/article_60177_7ab19b219bbfb0fdfc4ef62533b63751.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47884220180701More on Convergence Theory of Proper Multisplittings1441546017810.22034/kjm.2018.60178ENChinmay KumarGiriDepartment of Mathematics, National Institute of Technology Raipur, Raipur
492010, Chhattisgarh, India.DebasishaMishraDepartment of Mathematics, National Institute of Technology Raipur, Raipur
492010, Chhattisgarh, India.Journal Article20170705In 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.http://www.kjm-math.org/article_60178_45b35ce601f0a41c767c604a5ff62498.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47884220180701Uniqueness of Meromorphic Functions with Regard to Multiplicity1551666017910.22034/kjm.2018.60179ENHarina PanditWaghamoreDepartment of Mathematics, Jnanabharathi Campus, Bangalore University,
Bengaluru-560056, INDIANaveenkumar HalappaSannappalaDepartment of Mathematics, Jnanabharathi Campus, Bangalore University,
Bengaluru-560056, INDIAJournal Article20171229In 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 [10].http://www.kjm-math.org/article_60179_60795f61bcd501613831c381bf36238c.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47884220180701Expanding the Applicability of Generalized High Convergence Order Methods for Solving Equations1671776336810.22034/kjm.2018.63368ENIoannis KArgyrosDepartment of Mathematical Sciences, Cameron University, Lawton, OK
73505, USA.0000-0002-9189-9298SanthoshGeorgeDepartment of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India-575 025.0000-0002-3530-5539Journal Article20180213 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.http://www.kjm-math.org/article_63368_012c2c785e1430a9ff18422feb561db6.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47884220180701Generalized Ricci Solitons on Trans-Sasakian Manifolds1781866344610.22034/kjm.2018.63446ENMohd DanishSiddiqiDepartment of Mathematics, Jazan University, Faculty of Science, Jazan,
Kingdom of Saudi Arabia.0000-0002-1713-6831.Journal Article20180126The 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.http://www.kjm-math.org/article_63446_eabee94b9a3fd4c91d2e2429b5763ac2.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47884220180701On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions1871976347010.22034/kjm.2018.63470ENEmekaMaziDepartment of Mathematics, Faculty of Science, University of Ilorin, NigeriaŞahseneAltinkayaDepartment of Mathematics, Faculty of Science, Uludag University, 16059,
Bursa, Turkey.Journal Article20180118In 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.http://www.kjm-math.org/article_63470_def95421626bd10dbaaaf7b380ff11dd.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47884220180701Solvability of Nonlinear Goursat Type Problem for Hyperbolic Equation with Integral Condition1982136516110.22034/kjm.2018.65161ENTaki EddineOussaeifDepartment of Mathematics and Informatics., The Larbi Ben M'hidi
University, Oum El Bouaghi, Algeria.AbdelfatahBouzianiDépartement de Mathématiques et Informatique, Université Larbi Ben M'hidi, Oum El Bouagui, B.P. 565, 04000, Algerie.Journal Article20180327This 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.http://www.kjm-math.org/article_65161_8fed2a0e71a8af7d76b734e82401f3b2.pdf