Sentence examples for of complex order from inspiring English sources

It results in eigenfunctions that are modified Bessel functions of complex order.

It is well-known that superconductivity can be described in terms of complex order parameter Δ = |Δ|eiφ.

In this article, we define and investigate new families of certain subclasses of meromorphic functions of complex order.

The order of the singularity may be of real or of complex order depending on geometric and material parameters.

By means of a differential operator, we introduce and investigate some new subclasses of -valently analytic functions with negative coefficients, which are starlike or convex of complex order.

Definition 1.1 A function f ( z ) ∈ A p is said to be in the class L p, q j, l [ A, B ; α, γ ] of p-valent functions of complex order γ ≠ 0 in Δ if and only if (1.7).

Formation of complex ordered patterns by simple molecular building blocks adsorbed on solid substrates is an intriguing phenomenon in which small changes in the geometry and chemistry of the molecular brick can lead to entirely different 2D architectures.

Since the provision of that protection duly compensates for the seizures, the imposition of those taxes is permissible.[24] One strand that runs throughout ASU is Nozick's interest in invisible-hand explanations explanations of complex orders like the adjustment of supply and demand in market economies that do not appeal to anyone's intention to bring about the explained order (18 22).

In this paper, by means of integral representation, we introduce the generalized Hurwitz-Lerch zeta functions of arbitrary complex order.

This paper deals with a new structure of Fractional Complex Order Controller (FCOC) with the form PIDx+iy, in which x and y are the real and imaginary parts of the derivative complex order, respectively.

9, where we cover recent results for Winfree networks that provide an exact mean-field description in terms of a complex order parameter.