The aim of this paper is to study generatingfunctions for the coefficients of the classical superoscillatory function associated with weak measurements. We also establish some new relations between the superoscillato...
详细信息
The aim of this paper is to study generatingfunctions for the coefficients of the classical superoscillatory function associated with weak measurements. We also establish some new relations between the superoscillatory coefficients and many well-known families of special polynomials, numbers, and functions such as Bernstein basis functions, the Hermite polynomials, the Stirling numbers of second kind, and also the confluent hypergeometric functions. Moreover, by using generatingfunctions, we are able to develop a recurrence relation and a derivative formula for the superoscillatory coefficients.& COPY;2023 Elsevier B.V. All rights reserved.
暂无评论