15th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA)
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
Recently, Z.-W. Sun obtained q-analogues of Euler?s formula for ?(2) and ?(4). Sun?s formula were based on identities satisfied by triangular numbers and properties of Euler?s q-Gamma function. Inthis talk, we discuss a q-analogue of ?(6) =?6/945. Indeed, we have been able to obtainq-analogues of Euler?s formula for ?(2k), k= 4,5,...(the general case). However, it is to be noted here that the case k= 3 or theq-analogue of ?(6) is striking as it leads to very interesting connections. Also, the q-analogue of ?(6) is the first non-trivial case where we see the occurence of a certain ?extra? term which goes to zero as q?1 from inside the unit disk. We will also shed some light on this extra term
Sprache der Kurzfassung:
Englisch
Vortragstyp:
Hauptvortrag / Eingeladener Vortrag auf einer Tagung