In analytic number theory, several results make use of information regarding the prime values a multiplicative function in order to extract about its averages. Examples such include Wirsing's theorem and Landau-Selberg-Delange method. this paper, we are interested opposite direction. particular, prove that when $f$ is suitable divisor-bounded with small partial sums, then $f(p)\approx-p^{i\gamm...

The aim of this paper is to deal with the uniqueness problem on meromorphic functions in $ \mathbb{C}^{m} sharing small their difference polynomial, and results obtained can be seen as some extensions previous from one complex variable several variables.

in this paper rationalized haar (rh) functions method is applied to approximate the numerical solution of the fractional volterra integro-differential equations (fvides). the fractional derivatives are described in caputo sense. the properties of rh functions are presented, and the operational matrix of the fractional integration together with the product operational matrix are used to reduce t...

the use of manometry, i.e. the recording of pressures within hollow viscera, after being successfully applied to the study of esophageal and anorectal motor dysfunctions, has also been used to investigate physiological and pathological conditions of the small bowel. by means of this technique, it has been possible to understand better the normal motor functions of the small intestine, and their...

in this paper, we mainly investigate the uniqueness of the entire function sharing a small entire function with its high difference operators. we obtain one results, which can give a negative answer to an uniqueness question relate to the bruck conjecture dealt by liu and yang. meanwhile, we also establish a difference analogue of the bruck conjecture for entire functions of order less than 2, ...

In this paper, the homotopy perturbation method (HPM) is considered for finding approximate solutions of two-dimensional viscous flow. This technique provides a sequence of functions which converges to the exact solution of the problem. The HPM does not need a small parameters in the equations, but; the perturbation method depends on small parameter assumption and the obtained results. In most ...

In this paper, we mainly investigate the uniqueness of the entire function sharing a small entire function with its high difference operators. We obtain one results, which can give a negative answer to an uniqueness question relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the Bruck conjecture for entire functions of order less than 2, ...

The second virial coefficients are given as a spherical-core contribution plus a series of nonspherical perturbation terms. A revised analysis is given of the effect of long-range nonspherical terms in the intermolecular potential on the second virial coefficient given by a preferred HFDIDl spherical core treatment of the integration for small intermolecular distances. This effect is consid...