Details

Autor(en) / Beteiligte

• McAnally, D. S.

Titel

q‐exponential and q‐gamma functions. I. q‐exponential functionsa

Ist Teil von

• Journal of mathematical physics, 1995-01, Vol.36 (1), p.546-573

Erscheinungsjahr

1995

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Some properties of the q‐exponential functions, standard and symmetric, are investigated for general complex nonzero q. In particular, for ‖q‖ ≠ 1, the asymptotic behavior of the q‐exponential functions of a complex argument z is studied as z approaches ∞ through an infinite geometric sequence {z n (ζ) = q n ζ} n∈Z of complex numbers with common ratio q. A generalized q‐exponential function is defined and some of its properties are also discussed for q ≠ 0 (including the singular case of q a root of unity, or, more generally, ‖q‖=1).