17 research outputs found

    A comprehensive class of starlike functions involving Mittag-Leffler function

    No full text
    A new class of Bazilevič functions of the type [Formula: see text] is defined involving differential characterizations inspired by the study of multiplicative calculus. The defined function class unifies the studies of well-known subclasses like convex, starlike and alpha-convex functions. To further make our study more versatile, we have studied the new function class involving a differential operator defined  using the Mittag-Leffler function. Estimates of Taylor–Maclaurin coefficients [Formula: see text] and [Formula: see text] of the functions which belong to the defined function class are obtained. Further, the Fekete–Szeg˝o inequality of this new class which was computationally cumbersome is part of our main results in this paper

    Starlike Functions with Respect to (ℓ, κ)-Symmetric Points Associated with the Vertical Domain

    No full text
    The study of various subclasses of univalent functions involving the solutions to various differential equations is not totally new, but studies of analytic functions with respect to (ℓ,κ)-symmetric points are rarely conducted. Here, using a differential operator which was defined using the Hadamard product of Mittag–Leffler function and general analytic function, we introduce a new class of starlike functions with respect to (ℓ,κ)-symmetric points associated with the vertical domain. To define the function class, we use a Carathéodory function which was recently introduced to study the impact of various conic regions on the vertical domain. We obtain several results concerned with integral representations and coefficient inequalities for functions belonging to this class. The results obtained by us here not only unify the recent studies associated with the vertical domain but also provide essential improvements of the corresponding results

    Properties of a Class of Analytic Functions Associated With Exponentially Convex Functions

    No full text
    Studies in univalent function theory comprising the exponential of differential characterizations are rarely considered. The prominent study in this direction is the study of so-called α-exponentially convex functions. Here we study a class of analytic functions which satisfy an analytic characterization influenced by the definition of the multiplicative derivative and α-exponentially convex functions. Integral representation and coefficient inequalities of the defined function class are the main results of the paper

    Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives

    No full text
    In this paper, we introduce and study a new subclass of multivalent functions with respect to symmetric points involving higher order derivatives. In order to unify and extend various well-known results, we have defined the class subordinate to a conic region impacted by Janowski functions. We focused on conic regions when it pertained to applications of our main results. Inclusion results, subordination property and coefficient inequality of the defined class are the main results of this paper. The applications of our results which are extensions of those given in earlier works are presented here as corollaries

    Computational Optimization of Adaptive Hybrid Darrieus Turbine: Part 1

    No full text
    Darrieus-type Vertical Axis Wind Turbines (VAWT) are promising for small scale decentralized power generation because of their unique advantages such as simple design, insensitive to wind direction, reliability, and ease of maintenance. Despite these positive aspects, poor self-starting capability and low efficiency in weak and unsteady winds deteriorate further development. Adaptive Hybrid Darrieus Turbine (AHDT) was proposed by the author in the past study as a potential solution to enhance low wind speed characteristics. The objective of the current research is to optimize the parameters of AHDT. AHDT integrates a dynamically varying Savonius rotor with a Darrieus rotor. A fully detailed 2D numerical study employing Reynold-Averaged Navier Stokes (RANS) is carried out to investigate the impact of the Darrieus rotor diameter (DR) on the Savonius rotor (DT) with regard to hybrid turbine performance. The power coefficient of the Darrieus rotor is evaluated when the Savonius rotor is in the closed condition (cylinder) of various diameters. The influence of Reynolds number (Re) on the torque coefficient is examined. Power loss of 58.3% and 25% is reported for DR/DT ratio of 1.5 and 2 respectively for AHDT with solidity 0.5 at 9 m/s. The flow interaction between the Savonius rotor in closed configuration reveals the formation of von Karman vortices that interact with Darrieus blades resulting in flow detachment. An optimum diametrical ratio (DR/DT) of 3 is found to yield the maximum power coefficient of the Darrieus rotor

    Effect of dietary inclusion of Achyranthes japonica extract on growth performance, fecal microbiota, fecal gas emission, nutrient digestibility, and meat-carcass grade quality traits in finishing pigs

    No full text
    A ten-week experimental trial was carried out to determine the effect of - dietary inclusion of Achyranthes japonica extract (AJE) on finishing pigs overall performance. A total of 150 finishing pigs with initial body weight (BW) of 54.17 2.27 kg were randomly allocated to 5 dietary treatments. The dietary treatments were CON (Basal diet), TRT1 (Basal diet + 0.025% AJE), TRT2 (Basal diet + 0.05% AJE), TRT3 (Basal diet + 0.1% AJE), TRT4 (Basal diet + 0.2% AJE). Dietary AJE supplementation linearly increased BW, average daily gain (ADG), and gain to feed ratio (G:F) during week 5. At week 10 and overall experiment, there was tendency for linear increase in BW, ADG and ADFI. Dietary supplementation of AJE failed to show significant effects on nutrient digestibility, fecal microbiota, meat quality, and fecal gas emission. The dietary supplementation of AJE showed a linear increase in the backfat thickness at week 10 and there was no significant difference observed on the lean meat percentage. In summary, Achyranthes japonica extract supplementation diet had a beneficial effect on the growth performance and backfat thickness and also no effects on nutrient digestibility and fecal microbiota of the finishing pigs.The presentation of the authors' names and (or) special characters in the title of the pdf file of the accepted manuscript may differ slightly from what is displayed on the item page. The information in the pdf file of the accepted manuscript reflects the original submission by the author
    corecore