TY - JOUR
T1 - On a theta product of Jacobi and its applications to q-gamma products
AU - El Bachraoui, Mohamed
AU - Sándor, József
N1 - Publisher Copyright:
© 2018 Elsevier Inc.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - We give a new proof for a product formula of Jacobi which turns out to be equivalent to a q-trigonometric product which was stated without proof by Gosper. We apply this formula to derive a q-analogue for the Gauss multiplication formula for the gamma function. Furthermore, we give explicit formulas for short products of q-gamma functions.
AB - We give a new proof for a product formula of Jacobi which turns out to be equivalent to a q-trigonometric product which was stated without proof by Gosper. We apply this formula to derive a q-analogue for the Gauss multiplication formula for the gamma function. Furthermore, we give explicit formulas for short products of q-gamma functions.
KW - Jacobi theta functions
KW - q-Analogue
KW - q-Gamma function
KW - q-Trigonometric functions
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U2 - 10.1016/j.jmaa.2018.11.051
DO - 10.1016/j.jmaa.2018.11.051
M3 - Article
AN - SCOPUS:85057017818
SN - 0022-247X
VL - 472
SP - 814
EP - 826
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -