Wallis Type Formula and a Few Versions of the Number π in q-Calculus

• In this paper, we expose a geometrical interpretation of the q-Wallis formula. We construct plane regions which consist of rectangles whose edges’ lengths are directly connected with factors in this formula. These regions are bounded by quarters of inside and outside circles from which we get estimates and conclusions about the number πq.

Ämnesord

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

q-Wallis formula

q-number

q-gamma function

Mathematics/Applied Mathematics

matematik/tillämpad matematik

Publikations- och innehållstyp

ref (ämneskategori)

kon (ämneskategori)