International Journal of Discrete Mathematics

Volume 2, Issue 1, March 2017

  • The Classical Laplace Transform and Its q-Image of the Most Generalized Hypergeometric and Mittag-Leffler Functions

    D. K. Jain, Altaf Ahmad, Renu Jain, Farooq Ahmad

    Issue: Volume 2, Issue 1, March 2017
    Pages: 1-5
    Received: 23 December 2016
    Accepted: 16 January 2017
    Published: 09 February 2017
    DOI: 10.11648/j.dmath.20170201.11
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    Abstract: The q-Calculus has served as a bridge between mathematics and physics, particularly in case of quantum physics. The q-generalizations of mathematical concepts like Laplace and Fourier transforms, Hypergeometric functions etc. can be advantageously used in solution of various problems arising in the field of physical and engineering sciences. The pr... Show More
  • Dirichlet Averages of Wright-Type Hypergeometric Function

    Farooq Ahmad, D. K. Jain, Alok Jain, Altaf Ahmad

    Issue: Volume 2, Issue 1, March 2017
    Pages: 6-9
    Received: 23 December 2016
    Accepted: 21 January 2017
    Published: 20 February 2017
    DOI: 10.11648/j.dmath.20170201.12
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    Abstract: In the present paper, the authors approach is based on the use of Dirichlet averages of the generalized Wright-type hyper geometric function introduced by Wright in like the functions of the Mittag-Leffler type, the functions of the Wright type are known to play fundamental roles in various applications of the fractional calculus. This is mainly du... Show More
  • Wavelet-Based Numerical Homogenization for Scaled Solutions of Linear Matrix Equations

    J. B. Allen

    Issue: Volume 2, Issue 1, March 2017
    Pages: 10-16
    Received: 06 January 2017
    Accepted: 20 January 2017
    Published: 20 February 2017
    DOI: 10.11648/j.dmath.20170201.13
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    Abstract: In this work we investigate the use of wavelet-based numerical homogenization for the solution of various closed form ordinary and partial differential equations, with increasing levels of complexity. In particular, we investigate exact and homogenized (scaled) solutions of the one dimensional Elliptic equation, the two-dimensional Laplace equation... Show More
  • Fixed Point Theorem in Cone Metric Space

    K. Prudhvi

    Issue: Volume 2, Issue 1, March 2017
    Pages: 17-19
    Received: 19 December 2016
    Accepted: 24 January 2017
    Published: 22 February 2017
    DOI: 10.11648/j.dmath.20170201.14
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    Abstract: In this paper, we prove a unique common fixed point theorem for four self-mappings in cone metric spaces by using the continuity and commuting mappings. Our result extends,improvesthe results of [M. Abbas and G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341(2008) 416... Show More
  • Correlation Matrices Design in the Spatial Multiplexing Systems

    Sunil Chinnadurai, Poongundran Selvaprabhu, Abdul Latif Sarker

    Issue: Volume 2, Issue 1, March 2017
    Pages: 20-30
    Received: 13 January 2017
    Accepted: 06 February 2017
    Published: 24 February 2017
    DOI: 10.11648/j.dmath.20170201.15
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    Abstract: Channel correlation is closely related to the capacity of the multiple-input multiple-output (MIMO) correlated channel. Indeed, the high correlated channel degrades the system performance and the quality of wireless communication systems in terms of the capacity. Thus, we design an inverse-orthogonal matrix such as Toeplitz-Jacket matrix to design ... Show More