The Journal of the Indian Mathematical Society
http://www.i-scholar.in/index.php/JIMSIMS
<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>Informatics Publishing Limited and The Indian Mathematical Societyen-USThe Journal of the Indian Mathematical Society0019-5839Mathematical Study of Hybrid Impulsive Pest Control Model with Stage Structuring
http://www.i-scholar.in/index.php/JIMSIMS/article/view/173796
It is a need of time to use hybrid approach (biological and chemical) to control agriculture pests effectively, economically and safely. Most of the pests and natural enemies in their life history goes through two stages namely immature larva and mature adult. From this biological point of view, we purpose a pest control model with stage structuring in pests and natural enemies in the presence of impulsively released natural enemy and chemical pesticides. Using Floquet theory and small ampli- tude perturbation technique, the local stability of periodic solutions are discussed. The suffcient conditions for the global attractively of pest- extinction periodic solution and permanence of the system are obtained by using comparison technique of differential equations with impulsive effect. At last an extensive simulation is done to verify the theoretical ndings and to see the rich dynamical behavior of the system.Bhanu GuptaAmit SharmaSanjay K. Srivastava2018-06-012018-06-0185On Selectively Star-Lindelof Properties
http://www.i-scholar.in/index.php/JIMSIMS/article/view/173797
In this paper a new covering notion, called <em>M-</em>star-Lindelof, is introduced and studied. This notion of covering arises from the selection hypothesis SS*<sub>D,fin</sub>(D, D). The stronger form SS*<sub>D,1</sub>(D, D) of the selection hypothesis SS*<sub>D,fin</sub>(D, D) will also be discussed. We then consider weaker versions of these properties involving iterations of the star operator.Prasenjit BalSubrata BhowmikDavid Gauld2018-06-012018-06-0185Some Properties of Extended Hypergeometric Function and its Transformations
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There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent hypergeometric functions including transformation formulas, Mellin transformation for the generalized extended Gauss hypergeometric function in one, two and more variables.Aparna ChaturvediPrakriti Rai2018-06-012018-06-0185Solutions of Some Linear Fractional Partial Differential Equations in Mathematical Physics
http://www.i-scholar.in/index.php/JIMSIMS/article/view/173799
In this article, we use double Laplace transform method to find solution of general linear fractional partial differential equation in terms of Mittag-Leffler function subject to the initial and boundary conditions. The efficiency of the method is illustrated by considering fractional wave and diffusion equations, Klein-Gordon equation, Burger’s equation, Fokker-Planck equation, KdV equation, and KdV-Burger’s equation of mathematical physics.Ranjit R. DhundeG. L. Waghmare2018-06-012018-06-0185A Simple Generalization of Euler Numbers and Polynomials
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In this article, we shall consider a generalization of Euler's numbers and polynomials based on modifying the corresponding generating function. We shall prove some recurrence relations, an explicit formula, and multiplicative properties of the generalized numbers.Abdul HassenChristopher R. Ernst2018-06-012018-06-0185A Generalization of a Result of Birch and Swinnerton-Dyer
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In this paper, we give a proof of the generalization of a result of Birch and Swinnerton-Dyer [1956], which has been used by Hans-Gill, Sehmi and authors while obtaining estimates on the classical conjecture of Minkowski on the product of <em>n</em> non-homogeneous linear forms.Leetika KathuriaMadhu Raka2018-06-012018-06-0185On Nagata's Result about Height One Maximal Ideals and Depth One Minimal Prime Ideals (I)
http://www.i-scholar.in/index.php/JIMSIMS/article/view/173802
<p>It is shown that, for all local rings (R,M), there is a canonical bijection between the set <em>DO(R)</em> of depth one minimal prime ideals ω in the completion <em><sup>^</sup>R</em> of <em>R</em> and the set <em>HO(R/Z)</em> of height one maximal ideals <em>̅M'</em> in the integral closure <em>(R/Z)'</em> of <em>R/Z</em>, where <em>Z </em>:<em>= Rad(R)</em>. Moreover, for the finite sets <strong>D</strong> := {<em>V*/V* </em>:<em>= (<sup>^</sup>R/ω)'</em>, ω ∈ DO(R)} and H := {<em>V/V := (R/Z)'<sub><em>̅M'</em></sub>, <em>̅M'</em> ∈ HO(R/Z)</em>}:</p><p>(a) The elements in <strong>D</strong> and <strong>H</strong> are discrete Noetherian valuation rings.</p><p>(b) <strong>D</strong> = {<em><sup>^</sup>V</em> ∈ <strong>H</strong>}.</p>Paula KempLouis J. Ratliff, Jr.Kishor Shah2018-06-012018-06-0185The Continuous Fractional Wavelet Transform on W-Type Spaces
http://www.i-scholar.in/index.php/JIMSIMS/article/view/173803
An n-dimensional continuous fractional wavelet transform involving <em>n</em>-dimensional fractional Fourier transform is studied and its properties are obtained on Gel'fand and Shilov spaces of type <em>W<sub>M</sub></em>(R<sup>n</sup>), <em>W</em><sup>Ω</sup> (C<sup>n</sup>) and W<sup>Ω</sup><sub>M</sub> (C<sup>n</sup>). It is shown that continuous fractional wavelet transform, W<sup>α</sup><sub>ψ</sub>Φ : W<sub>M</sub>(R<sup>n</sup>) → W<sub>M</sub>(R<sup>n</sup> × R<sub>+</sub>), W<sup>α</sup><sub>ψ</sub>Φ : W<sup>Ω</sup> (C<sup>n</sup>) → W<sup>Ω</sup> (C<sup>n</sup> × R<sub>+</sub>) and W<sup>α</sup><sub>ψ</sub>Φ : W<sup>Ω</sup><sub>M</sub> (C<sup>n</sup>) → W<sup>Ω</sup><sub>M</sub> (C<sup>n</sup> × R<sub>+</sub>) are linear and continuous maps, where R<sup>n</sup> and C<sup>n</sup> are the usual Euclidean spaces.Anuj KumarS. K. Upadhyay2018-06-012018-06-0185Coincidence Theorems in New Generalized Metric Spaces under Locally g-Transitive Binary Relation
http://www.i-scholar.in/index.php/JIMSIMS/article/view/173804
<p>In this paper, we establish coincidence point theorems for contractive mappings, using locally g-transitivity of binary relation in new generalized metric spaces. In the present results, we use some relation theoretic analogues of standard metric notions such as continuity, completeness and regularity. In this way our results extend, modify and generalize some recent fixed point theorems, for instance, Karapinar et al [J. Fixed Point Theory Appl. 18(2016) 645-671], Alam and Imdad [Fixed Point Theory, in press].</p>Gopi PrasadRamesh Chandra Dimri2018-06-012018-06-0185New Classes of Statistically Pre-Cauchy Triple Sequences of Fuzzy Numbers Defined by Orlicz Function
http://www.i-scholar.in/index.php/JIMSIMS/article/view/173805
In this article, the concept of statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two defined by Orlicz function is introduced. A characterization of the class of bounded statistically pre-Cauchy triple sequences of fuzzy numbers with the help of Orlicz function is presented. Then a necessary and suffcient condition for a bounded triple sequence of fuzzy real numbers to be statistically pre-Cauchy is proved. Also a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be statistically convergent is derived. Further, a characterization of the class of bounded statistically convergent triple sequences of fuzzy numbers is presented and linked with Cesaro summability.Sangita SahaSantanu Roy2018-06-012018-06-0185Jordan Regular Generators of General Linear Groups
http://www.i-scholar.in/index.php/JIMSIMS/article/view/173806
In this article Jordan regular units have been introduced. In particular, it is proved that for n ≥ 2, the general linear group GL(2; F<sub>2<sup>n</sup></sub>) can be generated by Jordan regular units. Further, presentations of GL(2, F<sub>4</sub>); GL(2, F<sub>8</sub>); GL(2, F<sub>16</sub>) and GL(2, F<sub>32</sub>) have been obtained having Jordan regular units as generators.Meena SahaiR. K. SharmaParvesh Kumari2018-06-012018-06-0185Unified Extensions of Strongly Reversible Rings and Links with Other Classic Ring Theoretic Properties
http://www.i-scholar.in/index.php/JIMSIMS/article/view/173807
Let R be a ring, (M, ≤) a strictly ordered monoid and ω : M → <em>End</em>(R) a monoid homomorphism. The skew generalized power series ring R[[M; ω]] is a compact generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomials rings, (skew) Laurent power series rings, (skew) group rings, (skew) monoid rings, Mal'cev Neumann rings and generalized power series rings. In this paper, we introduce concept of strongly (M, ω)-reversible ring (strongly reversible ring related to skew generalized power series ring R[[M, ω]]) which is a uni ed generalization of strongly reversible ring and study basic properties of strongly (M; ω)-reversible. The Nagata extension of strongly reversible is proved to be strongly reversible if R is Armendariz. Finally, it is proved that strongly reversible ring strictly lies between reduced and reversible ring in the expanded diagram given by Diesl et. al. [7].R. K. SharmaAmit B. Singh2018-06-012018-06-0185On Generalized Pseudo-Projectively Recurrent Manifolds
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<p>The object of the present paper is to study generalized pseudo-projectively recurrent manifolds. Some geometric properties of generalized pseudo-projectively recurrent manifolds have been studied under certain curvature conditions. Finally the existence of generalized pseudo-projectively recurrent manifold is shown by examples.</p>J. P. SinghC. Lalmalsawma2018-06-012018-06-0185Pseudo-Differential Operators of Homogeneous Symbol Associated with n-Dimensional Hankel Transformation
http://www.i-scholar.in/index.php/JIMSIMS/article/view/173809
The characterizations of pseudo-differential operators L(x,D) and H(x,D) associated with the homogeneous symbol l(x; ξ), involving Hankel transformation are investigated by using the theory of n-dimensional Hankel transform.S. K. UpadhyayManmohan Singh Chauhan2018-06-012018-06-0185