schultz14. 185KB Jun 04 2011 12:09:29 AM
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type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the
Probabilistic finite state automata generating strings of let- ters is used to represent the symbolic time series.. A symbolic time series as a model is developed, and a measure of
Recently, Belbachir and Bencherif have expanded Fibonacci and Lucas polynomials using bases of Fibonacci- and Lucas-like polynomials. Here, we provide simplified proofs for
Then we show how one can obtain, in a simple way, explicit formulas for the generalized Euler polynomials, generalized Euler numbers, generalized Bernoulli polynomials and the
Acciaro and Fieker [1] have given an algorithm for finding a normal integral basis (when it exists) for a cyclic field of prime
In this section we will apply the Young integral and rough path integral of local time defined in sections 2 and 3 to prove a useful extension to Itˆ o’s formula.. Assume the
Moreover, we show that the resulting stochastic integral satisfies a change of variable formula with a correction term that is an ordinary Itô integral with respect to a Brownian
From the low-energy supergravity analysis, we identify its root lattice as the lattice of the T -duality invariants of the dyonic charges, the symmetry group of the root system as
