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

UR - http://www.scopus.com/inward/record.url?scp=85057017818&partnerID=8YFLogxK

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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 -