Sentence examples for new formulae of from inspiring English sources

From the q-exponential function, Kurt and Cenkci derived some interesting new formulae of q-extension of Genocchi polynomials.

Some new formulae of products of the Frobenius-Euler polynomials are established by applying the generating function methods and some summation transform techniques.

In this section, we shall establish three new formulae of products of the Frobenius-Euler polynomials to extend formulae (1.6), (1.7) and (1.8) by making use of the generating function methods.

Petojević and Srivastava [20 22] got several new formulae of sums of products of any number of classical Bernoulli numbers including the Euler type and Dilcher type sums of products of Bernoulli numbers.

Motivated by the work of Carlitz [24], in the present paper we establish some new formulae of products of the Frobenius-Euler polynomials by applying the generating function methods and some summation transform techniques.

Although most housebuilders have switched to a new formula of increases based on RPI, some people are finding that the new-build home they bought as recently as 2010 is virtually unsaleable.

At the same time, in practice this new formula of government emerged in a very piecemeal and haphazard way, often driven by the circumstances of the moment, not least the circumstances of party politics.

A new formula of energy release rate was finally presented.

A key tool is a new formula of variation of constants that works for such quadratic equations.

The new formula of 3D TECA suppresses the inflammatory-mediated cellular senescence and enhanced fibroblasts proliferation and migration.

Interculturalism, a "new formula of coexistence" (Bouchard, 2011) is designed to bring a dynamic perspective to the "defined national identity".