Sentence examples for generated functions of from inspiring English sources

The previous P-weighted mean was constructed from an analogy of the generated functions of P with those of T and M. Here, we will use another point of view.

If k is such that (k a,b =a-b) we simply write (F_{m}) (the generated function of m).

Thus the generating functions of the generalized -Euler numbers attached to are as follows: (2.18).

We obtain the generating functions of the generalized Carlitz q-Bernoulli polynomials.

We also consider the generalized -Euler polynomials attached to Dirichlet's character and have the generating functions of them.

Let be the generating functions of defined by (3.3).

The generating functions of are defined as (2.3).

Generating functions of and are different from those of [3, 12, 22, 23].

For a given dynamical problem, NSL are fundamentally generating functions of different equations of motions.

More generating functions of trigonometric type are also obtained to this unification.

Further, he defined generating functions of the twisted q-Bernoulli numbers and polynomials [9].