A new set of multiple orthogonal polynomials both type I and II with respect to two weight functions involving Gauss' hypergeometric function on the interval (0,1) is studied. This has direct applications in investigation singular values products Ginibre random matrices are connected branched continued fractions total-positivity problems combinatorics. The pair orthogonality measures shown be a...

background: electromyographic (emg) signal decomposition is the process by which an emg signal is decomposed into its constituent motor unit potential trains (mupts). a major step in emg decomposition is feature extraction in which each detected motor unit potential (mup) is represented by a feature vector. as with any other pattern recognition system, feature extraction has a significant impac...

We propose systems of orthogonal functions qn to represent optical transfer functions (OTF) characterized by including the diffraction-limited OTF as the first basis function q0=OTFperfect. To this end, we apply a powerful and rigorous theoretical framework based on applying the appropriate change of variables to well-known orthogonal systems. Here we depart fro...

We review and announce results from 6] and 7] and demonstrate their utility in constructing orthogonal reenable function vectors with prescribed approximation order and smoothness. In the case of local dimension 3 and approximation order 2, our approach naturally produces the family of orthogonal multiwavelets originally found in 2] as well as Daubechies' well known scaling function 2. In Secti...

This Article is brought to you for free and open access by the Center for Coastal Physical Oceanography at ODU Digital Commons. It has been accepted for inclusion in CCPO Publications by an authorized administrator of ODU Digital Commons. For more information, please contact [email protected]. Repository Citation Hamlington, B. D.; Leben, R. R.; Strassburg, M. W.; and Kim, K.-Y., "Cyclosta...