Some Double <i>q</i>-Series by Telescoping

Abstract

By means of the telescoping method, we derived two general double series formulas that encapsulate the Riemann zeta values ζ(s), the Catalan constant G, log(2), π and several other significant mathematical constants.

Keywords

• double series
• <i>q</i>-shifted factorial
• <i>q</i>-Gamma function
• Gaussian polynomial