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Love You Need to Give Your Child Love Mothers Perceptions of Nurturing Care for Young Children in South Africa
No full textCircular economy and energy transition a review of South Africas 5year just energy transition investment plan JETIP
No full textThe use of venous thromboembolism prophylaxis in relation to patient risk profilling TUNEIN Wave 3 study
No full textLeveraging deeplearning and unconventional data for realtime surveillance forecasting and early warning of respiratory pathogens outbreak
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Overlapping multidomain paired quasilinearization method for the solution of the MHD WilliamsonNanofluid flow over an exponentially stretching surface
No full textThe direct and inverse problem for a class of entire functions related to sine type functions
No full textFor a > 0 and nonnegative integers m and n the classes Aa m,n of entire functions are introduced. An entire function ω belongs to Aa m,n if ω is real on the imaginary axis and has the form (iμ)n−m+1ω(μ) = χ1(μ) cosμa + iχ2(μ) sin μa + (μ), where χ1 is a polynomial of degree n + 1 with leading coefficient i n+1, χ2 is a polynomial of degree at most n, and is small with respect to the other terms. When m = 0, these functions are sine type functions. The functions in Aa m,n have infinitely many zeros with explicitly given asymptotic behaviour, for which the first n + 1 terms in the asymptotics are determined by the coefficients in the polynomials χ1 and χ2.
Conversely, any sequence of complex numberswith such an asymptotic representation determines a unique function from a class Aa m,n whose zeros are this given sequence.
Some explicit formulas for the direct and the inverse problem are provided.University of the Witwatersrand