Sentence examples for master theorem states from inspiring English sources

Ramanujanʼs Master Theorem states that, under suitable conditions, the Mellin transform of a power series provides an interpolation formula for the coefficients of this series.

We introduce the notation for the Weyl transform of a function that is found helpful in stating the master theorem and other related results precisely.

In order to state Ramanujan's master theorem precisely and give the series representation (3.17) in the finite and infinite intervals of x, we need three classes of functions that are introduced in the next section.

For completeness we state the 'canonical' form of the theorem, the Hardy-Ramanujan master theorem: If in some neighborhood of x = 0, Φ ( x ) = ∑ n = 0 ∞ ( - 1 ) n ϕ ( n ) x n n !, (1.4).

A long-established theorem states that trade between two countries will reduce wages in the high-paying country and increase them in the low-paying country.

which is the Hardy-Ramanujan master theorem.

The theorem states that every closed game is determined).

These are special cases of the master theorem.

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

which is Hardy-Ramanujan's master theorem (see [[10], p. 186 (B)].

which is another form of the Hardy-Ramanujan's master theorem.