[PDF][PDF] Oscillation theory of q-difference equation

TG Gerly - Journal of Computational Mathematica, 2021 - shcpub.in
Oscillation Theory of q-Difference Equation Page 1 2456-8686, 5(2), 2021:083-091 https://doi.org/10.26524/cm111
Oscillation Theory of q-Difference Equation Soundarya1, Gerly TG2 and Rexma Sherine V3 …

A Method for Performing the Symmetric Anti-Difference Equations in Quantum Fractional Calculus

VR Sherine, TG Gerly, P Chellamani, EHA Al-Sabri… - Symmetry, 2022 - mdpi.com
In this paper, we develop theorems on finite and infinite summation formulas by utilizing the
q and (q, h) anti-difference operators, and also we extend these core theorems to q (α) and …

Laplace-Fibonacci transform by the solution of second order generalized difference equation

S Pinelas, GBA Xavier, SUV Kumar… - Nonautonomous …, 2017 - degruyter.com
The main objective of this paper is finding new types of discrete transforms with tuning factor
t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace …

Summation and exact type solutions for certain type of fractional order difference equations using multi-step delta operator

JL Amalraj, M Manuel, G Xavier - American Institute of …, 2022 - ui.adsabs.harvard.edu
This paper analyzes the use of forward Hybrid delta operator with shift value to obtain
generalized infinite series of fractional hybrid summation formula and also extract numerical …

[HTML][HTML] Discrete heat equation model with shift values

GBA Xavier, SJ Borg, M Meganathan - Applied Mathematics, 2017 - scirp.org
We investigate the generalized partial difference operator and propose a model of it in
discrete heat equation in this paper. The diffusion of heat is studied by the application of …

Two dimensional second order Fibonacci summation formula with extorial functions

T Sathinathan, GBA Xavier… - Journal of Physics …, 2020 - iopscience.iop.org
This paper aims to obtain the extorial type solutions for Fibonacci difference equations on
real valued function defined in two dimensional space having shift value ℓ. Using two …

Riemann zeta factorial function

GBA Xavier, T Sathinathan, D Arun - Journal of Physics …, 2018 - iopscience.iop.org
This paper focuses on extending the theory of Riemann zeta function to Riemann zeta
factorial function for infinite series using inverse principle of forward difference operator. This …

Fractional order Riemann zeta factorial function

G Xavier, T Sathinathan, D Arun - Recent Developments in …, 2019 - ui.adsabs.harvard.edu
This article aims to apply the theory of zeta factorial function to fractional order Riemann zeta
ℓ-factorial function. By inverse principle of generalized difference operator, we can obtain …

Discrete Fourier Series Using Generalized Difference Operator

D Brightlin, GD Babu - Optimization Techniques and Associated … - taylorfrancis.com
In 1807, Fourier's groundbreaking assertion regarding the representation of irregular
functions as a linear combination of sine and cosine functions initiated a significant shift in …

[PDF][PDF] HIGHER ORDER FIBONACCI SEQUENCE AND SERIES BY GENERALIZED HIGHER ORDER VARIABLE CO-EFFICIENT DIFFERENCE OPERATOR

GBA Xavier, P Rajiniganth, T Nadu - researchgate.net
In this paper, we introduce generalized m th order difference operator with variable co-
efficient and its inverse by which we obtain higher order Fibonacci sequence and its sum …