Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Department of Mathematics

In the present paper, axisymmetric vibrations of a circular sandwich plate with relatively stiff core of exponentially varying thickness have been investigated. The face sheets are treated as membranes of constant thickness and the core is assumed to be solid as well as moderately thick. The equations of motion have been derived using Hamilton’s energy principle. The frequency equation for clamped boundary condition is obtained by employing harmonic differential quadrature method. The lowest three roots of this equation have been reported as the frequencies for the first three modes of vibration. The effect of various plate parameters on the natural frequencies has been studied. Three-dimensional mode shapes for a specified sandwich plate have been illustrated. A comparison of the results with published work has been made. © Springer India 2015.

School of Advanced Sciences

Vellore Campus

World University root node

Springer Proceedings in Mathematics and Statistics

Radially symmetric vibrations of exponentially tapered clamped circular sandwich plate using harmonic differential quadrature method

In this paper, we introduce and investigate some definition and property of self-similar group and strong self-similar group of Kannan contraction. These groups are found as the attractor of a Kannan iterated function system (KIFS). This paper improves the Hutchinson-Barnsley theory in the sense of KIFS. Fractal set can be constructed by self-similar and strong self-similar group in the sense of KIFS of compact topological group. Finally, we prove the relation between profinite group and strong self-similar group of Kannan contraction. © 2015 NSP.

Applied Mathematics and Information Sciences

Generation of fractals via self-similar group of Kannan iterated function system

In this paper, we introduce and investigate a new subclass of biunivalent functions Σ of complex order defined in the open unit disk, which are associated with hypergeometric functions and satisfy subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients | a2 | and | a3 | for functions in the new subclass. Several (known or new) consequences of the results are also pointed out. © 2015, Published by ITB Journal Publisher.

Fulltext

Journal of Mathematical and Fundamental Sciences

Subclasses of Bi-Univalent Functions of Complex Order Based on Subordination Conditions Involving Wright Hypergeometric Functions

We introduced certain new subclasses of analytic functions of complex order defined by fractional integrals involving Fox's H-functions in the unit disc and investigate the various properties and characteristics of analytic functions belonging to the subclasses Sn(λ,b,γ). We also defined an another subclass Rn(λ,b,γ) involving Fox's H- functions. Apart from deriving a set of coefficient bounds for each of these function classes, we establish several inclusion relationships involving the (n, δ) - neighbourhoods of analytic functions with negative coefficients belonging to these subclasses.

Indian Journal of Science and Technology

Analytic Functions of Complex Order Defined by Fractional Integrals Involving Foxs H-functions

Department of Database Systems

School of Computer Science and Engineering

Journal of Mathematics and Applications

Majorization problems for classes of analytic functions

In this paper, we introduce and investigate a new subclass of the function class Σ of bi-univalent functions defined in the open unit disk, which are associated with the Hurwitz-Lerch zeta function, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in this new subclass. Several (known or new) consequences of the results are also pointed out. © 2015 Academic Publications, Ltd.

International Journal of Pure and Applied Mathematics

Coefficient estimate of Ma-Minda type bi-Bazilevič functions of complex order involving generalized operator

By considering a λ -pseudo starlike function in the open unit disk 𝕌 which maps 𝕌 onto the strip domain with α &lt; R(w) &lt; β, we estimate bounds of coefficients and solve Fekete-Szegö problem for functions in this class. 2010 Mathematics Subject Classification. 30C45, 30C50. © Research India Publications

Global Journal of Pure and Applied Mathematics

λ-Pseudo starlike functions with a bounded positive real part

Sigmoid function in the space of univalent $$\backslash$lambda $-pseudo starlike functions

Journal of Fractional Calculus and Applications

APPLICATION OF A FAMILY OF INTEGRAL OPERATORS IN THE MAJORIZATION OF A CLASS OF p- VALENTLY MEROMORPHIC FUNCTIONS OF COMPLEX ORDER

Background/Objectives: The concept of Laplacian energy of fuzzy graph is extended to the Laplacian energy of an intuitionistic fuzzy graph. Methods/Statistical Analysis: In this paper, we defined the adjacency matrix of an intuitionistic fuzzy graph and the Laplacian energy of an intuitionistic fuzzy graph is defined in terms of its adjacency matrix. Findings: The lower and upper bound for the energy of an intuitionistic fuzzy graph are also derived and verified with suitable intuitionistic fuzzy graphs. Application/Improvements: Laplacian spectra of intutionistic fuzzy graphs may reveal more analogous results in the chemical molecules.