http://informaticsjournals.com/index.php/jims/issue/feedJournal of the Indian Mathematical Society2017-07-07T07:17:17+00:00Satya Deosdeo@hri.res.inOpen Journal SystemsThe Indian Mathematical 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 onward, it is published as its current title 'The Journal of Indian Mathematical Society.<br /><span style="color: blue;">The Journal is Indexed in Scopus with <a href="http://scimagojr.com/journalsearch.php?q=21100259506&tip=sid&clean=0" target="_blank">H Index </a>3. It is also included in UGC Mandate. </span>http://informaticsjournals.com/index.php/jims/article/view/15836The Bhargava-Adiga Summation and Partitions2017-07-01T12:59:06+00:00George E. Andrewsgea1@psu.eduThe Bhargava-Adiga summation rivals the 1ψ1summation of Ramanujan in elegance. This paper is devoted to two applications in the theory of integer partitions leading to partition questions related to Gauss's celebrated three triangle theorem.2017-07-01T12:59:06+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/14969A New Class of Functions Suggested by the Generalized Basic Hypergeometric Function2017-07-01T12:59:07+00:00Meera H. Chudasamameera.chudasama@yahoo.co.inB. I. Davebidavemsu@yahoo.co.inWe introduce an extended generalized basic hypergeometric function rΦs+p in which p tends to infinity together with the summation index. We define the difference operators and obtain infinite order difference equation, for which these new special functions are eigen functions. We derive some properties, as the order zero of this function, differential equation involving a particular hyper-Bessel type operators of infinite order, and contiguous function relations. A transformation formula and an l-analogue of the q-Maclaurin's series are also obtained.2017-07-01T12:59:07+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/14850Convergence and Integrability of Series with Monotone Decreasing Coefficients by Chrestenson - Levy Systems2017-07-01T12:59:09+00:00S. A. Episkoposiansergoep@ysu.amT. M. Saghatelyantigran.saghatelyan@gmail.comIn this paper we consider problems of convergence and integrability of series with monotone decreasing coefficients by Chrestenson - Levy systems. In particular we generalize some results, known for classical Walsh systems. Interest in questions arises due to a rapidly developed greedy algorithm in recent years, where in particular the important role played a representation of functions by series with monotone coefficients.2017-07-01T12:59:09+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/15570On the Diophantine Equation X<sup>2</sup> + 13<sup>K</sup> = Y<sup>N</sup>2017-07-01T12:59:10+00:00Abdelkader Hamtatahamttat@gmail.comDjilali Behlouldbehloul@yahoo.frThe object of this paper is to find all solutions of the dio-phantine equation x<sup>2</sup> + 13<sup>k</sup> = y<sup>n</sup>, in positive integers x, y with n ≥ 3.2017-07-01T12:59:10+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/14851Generalized Sheffer's Classification and Their q-Analague2017-07-01T12:59:11+00:00R. K. Janarkjana2003@yahoo.comS. J. Rapelishrinu0711@gmail.comA. K. Shuklaajayshukla2@redimail.comPolynomial sets of type zero and its properties together with various applications were studied in the past. In the Rota theory, the polynomials of Sheer A-type zero are called Sheer sequences. In particular, members of the q-analogue of the Sheer class A-type zero can be called q-Sheer sequences. In the present paper, an attempt is made to discuss q-analogues of generalized Sheer polynomials in two variables and their properties.2017-07-01T12:59:11+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/14852On New Classes of Sequence Spaces Inclusion Equations Involving the Sets C<sub>0</sub>, C, l<sub>P</sub>, (1 ≤ P ≤ ∞), W<sub>0</sub> and W<sub>∞</sub>2017-07-01T12:59:13+00:00Bruno de Malafossebdemalaf@wanadoo.fr<p>Given any sequence a = (a<sub>n</sub>)<sub>n≥1</sub> of positive real numbers and any set <em>E</em> of complex sequences, we write E<sub>a</sub> for the set of all sequences y = (y<sub>n</sub>)<sub>n≥1</sub> such that y/a = (y<sub>n</sub>/a<sub>n</sub>)<sub>n≥1</sub> ∈ E; in particular, c<sub>a</sub> denotes the set of all sequences y such that y/a converges. Let Φ = {c<sub>0</sub>, c, l<sub>∞</sub>, l<sub>p</sub>, w<sub>0</sub>, w<sub>∞</sub>},(p≥1).. In this paper we apply a result stated in [9] and we deal with the class of (SSIE) of the form F ⊂ E<sub>a</sub>+F'<sub>x</sub> where F∈{c<sub>0,</sub>l<sub>p</sub>, w<sub>0</sub>, w<sub>∞</sub>} and E, F' ∈ Φ. We then obtain the solvability of the corresponding (SSIE) in the particular case when a = (r<sup>n</sup>)<sub>n</sub> and we deal with the case when F = F'. Finally we solve the equation E<sub>r</sub> + (l<sub>p</sub>)<sub>x</sub> = l<sub>p</sub> with E = c<sub>0</sub>, c, s<sub>1</sub>, or l<sub>p</sub> (p≥1). These results extend those stated in [10].</p>2017-07-01T12:59:13+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/15569Exact Solution of Semi-linear Fuzzy System2017-07-01T12:59:14+00:00Purnima K. Panditpkpandit@yahoo.comIn this paper we consider a semi-linear dynamical system with fuzzy initial condition. We discuss the results regarding the existence of the solution and obtain the best possible solution for such systems. We give a real life supportive illustration of population model, justify the need for fuzzy setup for the problem, and discuss the solution for it.2017-07-01T12:59:14+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/5824Existence of Hukuhara Differentiability of Fuzzy-Valued Functions2017-07-01T12:59:15+00:00U. M. Pirzadasalmapirzada@yahoo.comD. C. Vakaskardcvakaskar@gmail.comIn this paper, we discuss existence of Hukuhara differentiability of fuzzy-valued functions. Several examples are worked out to check that fuzzy-valued functions are one time, two times and n-times H-differentiable. We study the effects of fuzzy modelling on existence of Hukuhara differentiability of fuzzy-valued functions. We discuss existence of gH-differentiability and its comparison with H-differentiability.2017-07-01T12:59:15+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/14928Homotopy-laplace Decomposition Method to Solve Nonlinear Differential-difference Equations2017-07-01T12:59:16+00:00R. Rangarajanrajra63@gmail.comAnanth Kumar S. R.ananthkumar.s.r@gmail.comIn the recent literature, nonlinear differential equations, integro- differential equations, differential-difference equations and integro-differential-difference equations are studied. Laplace decomposition method and Homotopy analysis method are two powerful decomposition methods employed in the recent literature, nonlinear dierential equations, integro-differential equations, differential-difference equations and integro-differential-difference equations are studied. Laplace decomposition method and Homotopy analysis method are two powerful decomposition methods employed in the literature to solve above nonlinear problems. In the present paper a new method is proposed motivated by the above two methods to solve both nonlinear differential-difference equations and integro-differential-difference equations.2017-07-01T12:59:16+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/6117Generalization of the Grace Theorem2017-07-07T07:17:17+00:00N. A. Ratherdr.narather@gmail.comMohammad Ibrahimibrahimmath80@gmail.comIn this paper we extend the theorem of Walsh and some results proved by R. Bakic to a half plane and complement of an open disk.2017-07-01T12:59:17+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/6123Soft Set and Soft Group from Classical View Point2017-07-01T12:59:19+00:00S. Raysubhasis.ray@visva-bharati.ac.inS. Goldarsujaygoldar@gmail.comIt is shown that a soft set can be represented as a crisp set of soft elements and a soft group as a ordinary group of soft elements. From this view point it is immediate that soft group share the properties of ordinary group. Also using soft elements the definitions of soft co-sets, soft homomorphism and cyclic soft groups are presented and their properties are studied.2017-07-01T12:59:19+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/14915On the Dynamics of Composition of Transcendental Entire Functions in Angular Region-II2017-07-01T12:59:20+00:00Garima Tomartomar.garima10@gmail.comIn [14] we showed that for transcendental entire functions f and g, there exist finitely many domains in an angular region, which lie in wandering component of f, wandering component of g and also in wandering component of f ° g and in wandering component of g ° f. Several other related results were discussed in that paper. In this paper we show the existence of such infinite components in angular region, using approximation theory.2017-07-01T12:59:20+00:00Copyright (c) 2017 Journal of the Indian Mathematical Societyhttp://informaticsjournals.com/index.php/jims/article/view/15455Bhaskara's Arithmetic Operation of Division by Zero with Application in the Foundation of the Differential Calculus2017-07-01T12:59:21+00:00Okoh Ufuomacyrusmaths@gmail.comThis article is concerned mainly with Bhaskara's arithmetic operation of division by zero. This is the simplest of all for teaching analysis and is the most consistent and philosophical. Some mathematicians have attempted to impugn it, but when I examined their reasonings, I observed that they have done so because they have failed to comprehend the true behavior of zero. In this article I have aimed to clarify and justify Bhaskara's law of impending operations involving zero and furnish hints at the foundations upon which the arithmetic operation of division by zero rests its claims to be preferred to its fashionable rivals, the methods of innitesimals and limits.2017-07-01T12:59:21+00:00Copyright (c) 2017 Journal of the Indian Mathematical Society