- In analysis, a
lacunary function, also
known as a
lacunary series, is an
analytic function that
cannot be
analytically continued anywhere outside the...
- In
complex analysis, a
subfield of mathematics, a
lacunary value or gap of a complex-valued
function defined on a
subset of the
complex plane is a complex...
- … , X n ) = P
lacunary ( X 1 , … , X n ) + X 1 ⋯ X n ⋅ Q ( X 1 , … , X n ) . {\displaystyle P(X_{1},\ldots ,X_{n})=P_{\text{
lacunary}}(X_{1},\ldots ...
- band
Lacunary function, an
analytic function in
mathematics Lacunarity, a
mathematical measure of the
extent that a
pattern contains gaps
Lacunary polynomial...
-
condition (*). An
example found by
Marcus and
Shepp : 387 is a
random lacunary Fourier series X t = ∑ n = 1 ∞ c n ( ξ n cos λ n t + η n sin λ n t...
- of f {\textstyle f} are
missing a
single point, this
point is
called a
lacunary value of the function.
Great Picard's Theorem: If an
analytic function...
- ions,
giving a
defect structure called a
lacunary structure. An
example of a
compound with a
Dawson lacunary structure is As2W15O56. In 2014, vanadate...
- In mathematics, a sp****
polynomial (also
lacunary polynomial or fewnomial) is a
polynomial that has far
fewer terms than its
degree and
number of variables...
-
essential way. For
integers c ≥ 2 {\displaystyle c\geq 2} , we
define the
lacunary series of
order c by the
power series expansion L c ( z ) := ∑ n ≥ 1 z...
-
Archived (PDF) from the
original on 2017-10-31. Gaposhkin, V. F. (1966). "
Lacunary series and
independent functions".
Russian Mathematical Surveys. 21 (6):...
