http://www.i-scholar.in/index.php/JIMSIMS/issue/feedThe Journal of the Indian Mathematical Society2018-12-18T12:50:47+00:00Satya Deosdeo@hri.res.inOpen Journal Systems<div id="i-scholarabout">The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title 'the Journal of Indian Mathematical Society. The four numbers of the Journal constitute a single volume and it is published in two parts: numbers 1 and 2 (January to June) as one part and numbers 3 and 4 (July to December) as the second part. The four numbers of the Student are published as a single yearly volume. Only the research papers of high quality are published in the Journal.</div>http://www.i-scholar.in/index.php/JIMSIMS/article/view/177917Generalization on the Question of C. C. Yang in the Light of Weighted Shared Sets2018-12-17T12:50:37+00:00Abhijit Banerjeeabanerjee_kal@yahoo.co.inMolla Basir Ahamedbsrhmd117@gmail.comIn this paper, with the help of weighted sharing method, we have extended the question of Yang [8] from value sharing to set sharing which in turn have improved the results of Li-Gu [6] and Yi [10, 11] to a large extent.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177918Weighted β−absolute Convergence of Single and Double Walsh−Fourier Series of Functions of Φ − ∧ −BV2018-12-17T12:53:50+00:00Kiran N. Darjidarjikiranmsu@gmail.comRajendra G. Vyasdrrgvyas@yahoo.comFor one variable function of Φ − ∧−bounded variation on [0,1] the sufficient condition for the weighted β−absolute convergence of its Walsh−Fourier series ∑<sub>m</sub> γ<sub>m</sub>| ˆ f(m)|<sup>β</sup>, where 0 < β < 2 and {γ<sub>m</sub>} is a weighted sequence, is obtained and is extended for two dimensional analogue.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/1779193-Absorbing Principal <I>T</I>-Ideals in the Ternary Semiring of Non-positive Integers2018-12-17T12:54:30+00:00K. J. IngaleJ. N. Chaudharijnchaudhari@rediffmail.comSince the product of even number of elements of ternary semiring S may not be element of <em>S</em>, the concept of 2-absorbing ideal in <em>S</em> can not be defined. In this paper, we introduce the concept of 3-absorbing ideals in a commutative ternary semiring with identity element and obtain characterizations of 3-absorbing principal ideals and 3-absorbing principal <em>T</em>-ideals in the ternary semiring of non-positive integers.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177920On Nagata’s Result about Height One Maximal Ideals and Depth One Minimal Prime Ideals (II)2018-12-18T05:38:25+00:00Paula KempPaulaKemp@MissouriState.eduLouis J. Ratliffatliff@math.ucr.eduKishor ShahKishorShah@MissouriState.eduWe expand the theory of height one maximal ideals and depth one minimal prime ideals initiated by M. Nagata and continued by the authors in part I. A local ring is doho in case its completion has at least one depth one minimal prime ideal. We establish several families of doho local rings, prove that certain local rings associated with Rees valuation rings are doho, and complement a famous construction of Nagata by proving that each doho local domain (<I>R,M</I>) of altitude α ≥ 2 has a quadratic integral extension over-domain with precisely two maximal ideals, one of height α and the other of height one.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177921Asymptotic Behaviour of Distributional Mexican Hat Wavelet Transform2018-12-18T05:56:57+00:00Anshu Malamathdras@gmail.comAbhishek Singhabhijnvu@gmail.comDeepali Saxenadeepali.saxena@rediffmail.comTheory of Weierstrass transform is ventured to derive properties of the Mexican hat wavelet transform by Pathak <em>et al</em>. [3]. In this paper, distributional Mexican hat wavelet transform is studied and an asymptotic behaviour for the same is established. Further, tauberian result of Mexican hat wavelet transform is derived.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177922Uniqueness for Q-shift of Meromorphic Functions of Zero Order Sharing Small Function2018-12-18T07:14:24+00:00Rajib Mandalrajibmathresearch@gmail.comTo study the uniqueness results for <em>q</em>-shift differential-difference polynomials of meromorphic functions of zero order sharing a small function, we consider the problems in [12] and [8]. We point out a number of gaps in its main proof and rectify these. Then present an improved as well as generalized result in a more compact form. Also, exhibit some examples to show that one of the conditions of the obtained result is best possible.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177923Approximate Controllability Results for Neutral Stochastic Differential Equations of Sobolev Type with Unbounded Delay in Hilbert Spaces2018-12-18T07:21:59+00:00R. Nirmalkumarnirmalkumarsrmvcas@gmail.comR. Murugesuarjhunmurugesh@gmail.comIn this paper, we discuss the approximate controllability of the neutral stochastic differential equations of Sobolev type with unbounded delay in Hilbert Spaces. A set of sufficient conditions are established for the existence and approximate controllability of the mild solutions using Krasnoselskii-Schaefer-type fixed point theorems and stochastic analysis theory. An application involving partial differential equation with unbounded delay is addressed.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177924Elliptic Partial Differential Equation Involving a Singularity and a Radon Measure2018-12-18T12:32:35+00:00Akasmika Pandaakasmika44@gmail.comSekhar Ghoshsekharghosh1234@gmail.comDebajyoti Choudhuridc.iit12@gmail.comThe aim of this paper is to prove the existence of solution for a partial differential equation involving a singularity with a general nonnegative, Radon measure μ as its nonhomogenous term which is given as<p>−Δu = f(x)h(u) + μ in Ω,</p><p>u = 0 on ∂Ω,</p><p>u > 0 on Ω,</p>where Ω is a bounded domain of R<sup>N</sup>, <em>f</em> is a nonnegative function over Ω.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177925Revisiting Some Pal Type Birkhoff Interpolation Problems2018-12-18T12:33:59+00:00A. K. PathakPoornima Tiwaripoornimatiwari31@yahoo.comIn this paper we revisit Pal type Birkhoff interpolation for the sets consisting of zeros of polynomials with complex coefficients with two or more additional nodes at value nodes. We also evaluate regularity of (0, 2) Pal type Birkhoff interpolation on the zeros of the polynomials obtained by applying mobius transform to the zeros of roots of unity with one additional complex node at value nodes.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177926Stability Analysis of a Three Species Non-linear Eco-system with Restricted Resources2018-12-18T12:38:55+00:00B. Hari PrasadThe aim of this paper is to introduce the model and the study of a three species non linear ecosystem with restricted resources. In this paper, the system comprises of two species hosts S<sub>1</sub>, S<sub>2</sub> and one commensal species S<sub>3</sub>. Further, S<sub>1</sub> and S<sub>2</sub> are neutral and all the three species posses restricted resources. Commensalism is a symbiotic interaction between two or more populations which live together, and in which only one of the populations (commensalism) is beneted while the other (host) is not effected. The model equations constitute a set of three first order non-linear simultaneous differential equations. Criteria for the asymptotic stability of all the eight equilibrium states are established. The system would be stable if all the characteristic roots are negative, in case they are real, and have negative real parts, in case they are complex. Trajectories of the perturbations over the equilibrium states are illustrated. Further the global stability of the system is established with the aid of suitably constructed Liapunov's function.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177927Sum Formulas Involving Powers of Balancing and Lucas-balancing Numbers2018-12-18T12:40:28+00:00S. G. Rayagurusaigopalrs@gmail.comG. K. Pandagkpanda_nit@rediffmail.comIn this article, we obtain the closed form expressions for different types of summation formulas involving certain powers of balancing and Lucas-balancing numbers using the telescoping summation formula.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177928Generalized Mittag-Leffler Matrix Function and Associated Matrix Polynomials2018-12-18T12:46:05+00:00Reshma Sanjhirareshmashah.maths@charusat.ac.inB. V. Nathwanibharti.nathwani@yahoo.comB. I. Davebidavemsu@yahoo.co.inThe Mittag-Leffler function has been found useful in solving certain problems in Science and Engineering. On the other hand, noticing the occurrence of certain matrix functions in Special functions’ theory in general and in Statistics and Lie group theory in particular, we introduce here a matrix analogue of a recently generalized form of Mittag-Leffler function. This function yields the matrix analogues of the Saxena-Nishimoto’s function, Bessel-Maitland function, Dotsenko function and the Elliptic Function. We obtain matrix differential equation and eigen matrix function property for the proposed matrix function. Also, a generalized Konhauser matrix polynomial is deduced and its inverse series relations and generating function are derived.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177929Elliptic WP-Bailey Transform and its Applications2018-12-18T12:48:39+00:00Satya Prakash Singhsnsp39@gmail.comVijay Yadavvijaychottu@yahoo.comIn this paper, idea of WP-Bailey transform has been extended to elliptic WP-Bailey transform and it has been applied to establish certain interesting summation and transformation formulas for elliptic and theta hypergeometric series.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177930Hypercyclicity, Supercyclicity And Cyclicity of Composition Operators On L<sup>p</sup> Spaces2018-12-18T12:49:57+00:00Vijay Kumar Srivastavavijaykmathsbhu@gmail.comHarish ChandraIn this paper, we discuss hypercyclicity, supercyclicity and cyclicity of composition operators on <em>l<sup>p</sup></em>(1 ≤ p < ∞). We prove that no composition operator is hypercyclic on <em>l</em><sup>p</sup>. Further, we also prove that <em>C<sub>Φ</sub></em> : <em>l<sup>p</sup></em> → <em>l<sup>p</sup></em> is supercyclic if and only if <em>Φ</em> is injective and <em>Φ</em><sup>n</sup> has no fixed point in N, for any n ∈ N. We also give a sufficient condition and some necessary conditions for cyclicity of composition operator.2018-12-12T00:00:00+00:00http://www.i-scholar.in/index.php/JIMSIMS/article/view/177931On Some Categories of Riemannian Manifolds2018-12-18T12:50:47+00:00R. B. Yadavrbyadav15@gmail.comIn this article we introduce two categories of Riemannian manifolds. We also study some properties of such categories and compare them with the previously known categories.2018-12-12T00:00:00+00:00