INCOMPLETE q-GAMMA FUNCTION AND TRICOMI EXPANSION
- https://doi.org/10.1142/S1402925109000133How to use a DOI?
- Incomplete q-gamma function, exponential integral, the q-Tricomi expansion, basic hypergeometric function, q-binomial theorem, q-Taylor formula
In this paper, we introduce a q-analogue of the Tricomi expansion for the incomplete q-gamma function. A general method is described for converting a power series into an expansion in incomplete q-gamma function. Also, we use the q-Tricomi expansion for giving a formal proof of the relation between the incomplete gamma function and the exponential integral. Finally, we formally deduce the q-Tricomi expansion via the q-Taylor expansion.
- © 2009 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - M. Mansour PY - 2021 DA - 2021/01 TI - INCOMPLETE q-GAMMA FUNCTION AND TRICOMI EXPANSION JO - Journal of Nonlinear Mathematical Physics SP - 141 EP - 150 VL - 16 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000133 DO - https://doi.org/10.1142/S1402925109000133 ID - Mansour2021 ER -