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In the geometric functions theory there are many subclasses of multivalent functions like coefficient bounds, radii of star likeness, convexity, harmonic, memomorphic functions, etc. Now we introduce some properties of geometric functions theory with negative coefficient of multivalent functions (ݖ ) = ݖ ௣ − ∑ ௞ ݖ ௞ା௣ ∞ୀ௡ Which is analytic in unit disc∪= {ݖ : |ݖ | < 1} Keyword:Analytic, memomorphic, multivalent functions, negative coefficient, geometric functions, distortion,hypergeometric function,pochhammer symbol, gamma function, Generalized Ruscheweyh derivatives.

In most of the applications, analog signals are produced in response to some physical phenomenon or activity. But it is quite difficult to process that analog signal; here comes the need to convert an analog signal to a digital signal. For this purpose specific digital signal processors (DSP’s) are developed. TMS 320C6713 is one of such type of processors that can be used to process or handle the signals in a variety of ways. In the current report, basically the architecture of this processor is studied. Along with the processor architecture, the hardware portion DSK (Digital Starter Kit) and the software portion CCS (Code Composer Studio) is also studied. Digital filters are very commonly found in everyday life and include a variety of applications. Mainly they are used for two major purposes: signal separation and signal restoration. Signal separation is needed when a signal has been contaminated with interference, noise, or other signals. Signal restoration is used when a signal has been distorted in some way. So, various programs have been analyzed in this work to implement efficiently those FIR filter structures on TMS 320C6713 DSK. Characteristics of FIR filters are studied in frequency domain.

Filters are used in electronic circuits to remove the unwanted frequency components from desired signals. A digital filter basically provide high attenuation to the unwanted ones and offer very low or ideally zero attenuation to desired signal components when it’s impulse response is adjusted as per requirement. For ideal filters, the length of such an impulse response is infinite and also the filter will be non-causal and unrealizable. So, we need to truncate this infinite impulse response to make it finite. For this truncation, we use window functions. Using window functions, we obtain a finite impulse response or simply FIR filter. The shape of a window in time domain decides the characteristics of resultant filter in frequency domain. Several window functions are available in literature. For the present work we have choosen the three parameter Cosh window for truncation of infinite impulse response. It is also called as modified Cosh window because it has been obtained by inserting a third parameter in the basic 2-parameter Cosh window function. The main goal of this work is to study this modified Cosh window and design a digital low pass FIR filter using the same in MATLAB. First of all the properties of window function are described and frequeny domain responses of window function is obtained. Then FIR filter is analyzed using window design method and it’s characteristics have also been studied in frequency domain.

—With the growth of cloud computing, large scale data centers have become common in the computing industry, and there has been a significant increase in energy consumption at these data centers, which thus becomes a key issue to address. As most of the time a data center remains underutilized, a significant amount of energy can be conserved by migrating virtual machines (VM) running on underutilized machines to other machines and hibernating such underutilized machines. This paper aims to design such a strategy for energy-efficient cloud data centers. It makes use of historical traffic data from data centers and uses a service request prediction model which enables the identification of the number of active servers required at a given moment, thus making possible the hibernation of underutilized servers. The simulation results indicate that this approach brings about a significant amount of energy conservation.