We generalise Dwork’s theory of p-adic formal congruences from the univariate to a multi-variate setting. We apply our results to prove integrality assertions on the Taylor coefficients of (multi-variable) mirror maps. More precisely, with z = (z1, z2, . . . , zd), we show that the Taylor coefficients of the multi-variable series q(z) = zi exp(G(z)/F (z)) are integers, where F (z) and G(z) + lo...

Abstract In this paper, by virtue of the symmetry principle, applying techniques real analysis and Euler–Maclaurin summation formula, we construct proper weight coefficients use them to establish a reverse Hardy–Hilbert inequality with power function as intermediate variables. Then, obtain equivalent forms some statements best possible constant factor related several parameters. Finally, illust...

Approximation of helices has been studied by using in many ways. In this study, it examined how a circular helix can be written as Bezier curve and the 3th degree, 5th 7th degree Maclaurin series expansions for polynomial forms. Hence, they cubic, order, order curves, based on control points with matrix form we have already given E3. Further coefficients expansion helix.

In the real world there are many applications that find Bell distribution to be a useful and relevant model. One of these is normal distribution. this paper, we develop new subclass analytic bi-univalent functions by making use as building block. These involve Gegenbauer polynomials, them establish our subclass. study, solve Fekete–Szegö functional problem analyse various different estimates Ma...

Quadratic programming (QP) is an optimization problem wherein one minimizes (or maximizes) a quadratic function of a finite number of decision variable subject to a finite number of linear inequality and/ or equality constraints. In this paper, a quadratic programming problem (FFQP) is considered in which all cost coefficients, constraints coefficients, and right hand side are characterized by ...

Let F(z) be a vector-valued function F C CN, which is analytic at z 0 and meromorphic in a neighborhood of z 0, and let its Maclaurin series be given. In a recent work [J. Approx. Theory, 76 (1994), pp. 89-111] by the author, vector-valued rational approximation procedures for F(z) that are based on its Maclaurin series, were developed, and some of their convergence properties were analyzed in ...

This paper is one of a series underpinning the authors’ DAETS code for solving DAE initial value problems by Taylor series expansion. First, building on the second author’s structural analysis of DAEs (BIT 41 (2001) 364–394), it describes and justifies the method used in DAETS to compute Taylor coefficients (TCs) using automatic differentiation. The DAE may be fully implicit, nonlinear, and con...

We discuss effects of chemical potential on the dynamics of chiral transition by the Taylor expansion method in lattice QCD. Operators and their Taylor expansions which characterise the chiral dynamics are related through Maxwell’s relations and Chiral Ward identities. This reduces the computation to just measuring the renormalized expectation values of the chiral condensate and its Taylor coef...

The paper revisits the well-known spectral transforms of a Boolean function, emphasizing on the fact that ReedMuller, arithmetic and Walsh spectra can be calculated through boolean difference, and arithmetical and Walsh analogs of it. This techniques is called Taylor technique, by analogy with Taylor series which coefficients are differences, or differentials. The algorithms are perfectly imple...