Difference equations in the complex plane: quasiclassical asymptotics and Berry phase
نویسندگان
چکیده
منابع مشابه
ON THE NEVANLINNA CHARACTERISTIC OF f(z + η) AND DIFFERENCE EQUATIONS IN THE COMPLEX PLANE
and T (r, f), which is only true for finite order meromorphic functions. We have also obtained the proximity function and pointwise estimates of f(z+η)/f(z) which is a discrete version of the classical logarithmic derivative estimates of f(z). We apply these results to give new growth estimates of meromorphic solutions to higher order linear difference equations. This also allows us to solve an...
متن کاملON THE NEVANLINNA CHARACTERISTIC OF f(z + η) AND DIFFERENCE EQUATIONS IN THE COMPLEX PLANE
and T (r, f), which is only true for finite order meromorphic functions. We have also obtained the proximity function and pointwise estimates of f(z+η)/f(z) which is a discrete version of the classical logarithmic derivative estimates of f(z). We apply these results to give new growth estimates of meromorphic solutions to higher order linear difference equations. This also allows us to solve an...
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We present some methods for finding asymptotics of some classes of nonlinear higherorder difference equations. Among others, we confirm a conjecture posed by S. Stević (2005). Monotonous solutions of the equation yn = A + (yn−k/ ∑m j=1βj yn−qj ) p , n ∈ N0, where p,A∈ (0,∞), k,m∈N, qj , j ∈ {1, . . . ,m}, are natural numbers such that q1 < q2 < ··· < qm, βj ∈ (0,+∞), j ∈ {1, . . . ,m}, ∑m j=1βj...
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The dynamics of the delay logistic equation with complex parameters and arbitrary complex initial conditions is investigated. The analysis of the local stability of this difference equation has been carried out. We further exhibit several interesting characteristics of the solutions of this equation, using computations, which does not arise when we consider the same equation with positive real ...
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Stochastic, processes can be stationary or nonstationary. They depend on the magnitude of shocks. In other words, in an auto regressive model of order one, the estimated coefficient is not constant. Another finding of this paper is the relation between estimated coefficients and residuals. We also develop a catastrophe and chaos theory for change of roots from stationary to a nonstationary one ...
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ژورنال
عنوان ژورنال: Applicable Analysis
سال: 2020
ISSN: 0003-6811,1563-504X
DOI: 10.1080/00036811.2020.1738400