Sentence examples for master theorem is from inspiring English sources

The applicability of the Ramanujan's master theorem is assured by the lemma (3.1).

Example (5.4) We give a second example of a function where Ramanujan's master theorem is applicable but the function does not belong to Hardy's class of functions.

Example (5.3) We now give an example of a function where Ramanujan's master theorem is applicable but the function does not belong to Hardy's class of functions.

Hardy's class of functions for the Ramanujan interpolation formula and Ramanujan-Hardy master theorem is extended to a wider domain of applicability and the extension is illustrated by examples.

Theorem (4.2) Every F(s; 0) ∈ Q P satisfies (3.17) for B = e p. We now give examples that include functions that do not belong to Hardy's class for which Ramanujan's master theorem is applicable.

Some special cases of the theorem are discussed in Section 5. Different forms of Ramanujan's master theorem are shown to follow from the general lemma in the Section 6.

The Hardy-Ramanujan master theorem can be represented in different forms by considering special cases of the function F(s; 0) (see [[2], p. 186]) in the above lemma and in theorems (4.1) and (4.2).

Lyapunov theorem is also utilized to obtain the adaptation laws for tuning the controller when the parameters of the master system are unknown.

Now, we know that theorem is false.

A new theorem is a breakthrough in human thought.

Bayes's theorem is the mathematical law governing logical inference.