Sentence examples for a certain generalization of from inspiring English sources

It is expected that the Fourier series of the higher-order Bernoulli functions will find some applications in connections with a certain generalization of Dirichlet L-functions and higher-order generalized Bernoulli numbers.

Just as the Fourier series expansion of the Bernoulli functions are useful in computing the special values of Dirichlet L-functions, we would like to see some applications to a certain generalization of Dirichlet L-functions and higher-order generalized Bernoulli numbers in near future.

It is expected that the Fourier series of the ordered Bell functions will find some applications in connection with a certain generalization of the Euler zeta function and the higher-order generalized Frobenius-Euler numbers and polynomials.

We prove a certain generalization of the Andronov-Hopf theorem.

Technically, the method presents a certain generalization of the 'variational' uncertainty quantification method for observed systems.

We also show that a certain generalization of the Cîrtoaje's inequality fulfils an interesting property.

We will prove Theorem 21 on a generalized (modified) p-factor operator, which is certain generalization of Andronov-Hopf theorem [5].

In what follows we give certain generalizations of some notions for a positive valued function of a positive variable.

The norms E2 and E∞ are certain generalizations of the classical norms H2 and H∞.

To this aim, we present certain generalizations of higher-order strong invexity.

For the purpose of studying this new solution concept, we present certain generalizations of higher-order strong invexity [9].