…
►Other notations and names for
include
(
Kölbig et al. (1970)), Spence function
(
’t Hooft and Veltman (1979)), and
(
Maximon (2003)).
…
►For
other values of
,
is defined by analytic continuation.
…
►Further properties include
…and
…
►In terms of polylogarithms
…
§26.6 Other Lattice Path Numbers
…
►
is the number of paths from
to
that are composed of directed line segments of the
form
,
, or
.
…
►
is the number of lattice paths from
to
that stay on or above the line
and are composed of directed line segments of the
form
,
, or
.
…
►
is the number of lattice paths from
to
that stay on or above the line
, are composed of directed line segments of the
form
or
, and for which there are exactly
occurrences at which a segment of the
form
is followed by a segment of the
form
.
…
►
is the number of paths from
to
that stay on or above the diagonal
and are composed of directed line segments of the
form
,
, or
.
…