In this paper, we consider the Fibonomial coefficients, a natural generalization of the binomial coefficients. We generalize a 2013 result of the authors and J. Sellers by proving an exact divisibility result for Fibonomial coefficients involving powers of primes and confirming a recent conjecture.

In a recent paper, Cooper and Hirschhorn conjecture relations among the coefficients of certain products of powers of Euler’s product. Here we use the theory of modular forms with complex multiplication to prove these conjectures.

We derive properties of powers of a function satisfying a second-order linear differential equation. In particular we prove that the n-th power of the function satisfies an (n + 1)-th order differential equation and give a simple method for obtaining the differential equation. Also we determine the exponents of the differential equation and derive a bound for the degree of the polynomials, whic...

This paper concerns the reconstruction of a diffusion coefficient in an elliptic equation from knowledge of several power densities. The power density is the product of the diffusion coefficient with the square of the modulus of the gradient of the elliptic solution. The derivation of such internal functionals comes from perturbing the medium of interest by acoustic (plane) waves, which results...

A high precision temperature compensated CMOS bandgap reference is presented. The proposed circuit employs current-mode architecture that improves the temperature stability of the output reference voltage as well as the power supply rejection when compared to the conventional voltage-mode bandgap referenc. Using only first order compensation the new architecture can generate an output reference...

The economic and stable operation was affected seriously by coal quality disturbance for power plants. Based on model analysis, influence of the disturbance can be considered as gain change of control system. Power capability coefficient of coal was constructed to inhibit it. Accuracy of the coefficient was verified by operating data. Then coal quality disturbance free system based on gain sche...