In economics, depreciation functions (operator kernels) are certain decreasing functions, which assumed to be equal unity at zero. Usually, an exponential function is used as a function. However, in operator kernels do not allow simultaneous consideration of memory effects and effects. this paper, it proposed consider non-exponential type, simultaneously take into account by using the Prabhakar...

bladder washings of patients with recurrent urothelial cell carcinomas [Technical Brief]. Clin Chem 2000;46:2003–7. 5. de Kok JB, Zendman AJ, van de Locht LT, Ruers TJM, van Muijen GN, Mensink E, Swinkels DW. Real-time hTERT quantification: a promising telomerase-associated tumor marker. Lab Invest 1999;79:911–2. 6. Dalbagni G, Han W, Zhang ZF, Cordon CC, Saigo P, Fair WR, et al. Evaluation of ...

In many problems arising in physical sciences and statistics, hypergeometric functions, in logarithmic cases, are applicable, which is known from the monograph of Mathai and Haubold [4] and Mathai [3], etc. A detailed account of such applications is available from the two monographs by Mathai and Saxena [5], [6]. Expansions of the Gauss’s hypergeometric functions in logarithmic cases are given ...

Abstract. We introduce a new subclass corresponding to the class of k−uniformly convex and starlike functions associated with HurwitzLerch zeta functions and determine many properties like the coefficient estimates, extreme points, closure theorem, distortion bounds, radii of starlikeness and convexity. Furthermore, we obtain an integral transform results, neighborhood results, integral means i...

The standard star formation scenario is based on spherically symmetric radiative hydrodynamics calculations. In this paper, we focus on the evolution of the rotating non-spherical cloud through the first core and second collapse phases 10 < ρ < 10 3 g cm using axisymmetric numerical calculations. The rotating first core evolves under the influence of mass and angular momentum accretion from the...