Asymptotic Approximations in Quantum Calculus
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This paper aims to study the asymptotic approximation of some functions defined by the q-Jackson integrals, for a fix q ]0, 1[. For this purpose, we shall attempt to extend the classical methods by giving their q-analogues. In particular, a q-analogue of the Watson's lemma is discussed and new asymptotic expansions of the q-j Bessel function and of the q-complementary error function are established.
- © 2006, the Authors. Published by Atlantis Press.
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Cite this article
TY - JOUR AU - Ahmed Fitouhi AU - Kamel Brahim AU - Néji Bettaibi PY - 2005 DA - 2005/11/01 TI - Asymptotic Approximations in Quantum Calculus JO - Journal of Nonlinear Mathematical Physics SP - 586 EP - 606 VL - 12 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2005.12.4.11 DO - 10.2991/jnmp.2005.12.4.11 ID - Fitouhi2005 ER -