In this paper, we obtain discrete Fourier transform and its properties for certain functions using the inverse of generalized difference operator. Suitable examples verified by MATLAB are inserted to illustrate the main results.
In this paper, we introduce second order difference operator with logarithmic function and its inverse by which we obtain Fibonacci sequence and its sum. Some theorems and interesting results on the sum of the terms of advanced Fibonacci sequence are derived. Suitable examples are provided to illustrate our results and verified by using MATLAB.
In this paper, we introduce generalized m th order difference operator with variable coefficient and its inverse by which we obtain higher Fibonacci sequence and its sum. Some theorems and interesting results on the sum of the terms of higher Fibonacci sequence with variable coefficient are derived. Suitable examples are provided to illustrate our results.
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