Irrationality proof of certain Lambert series using little q-Jacobi polynomials

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摘要

We apply the Padé technique to find rational approximations to h±(q1,q2)=∑k=1∞q1k1±q2k,0

论文关键词:Padé approximation,Little q-Jacobi polynomials,Irrationality,Measure of irrationality,q-series

论文评审过程:Received 1 February 2008, Available online 25 February 2009.

论文官网地址:https://doi.org/10.1016/j.cam.2009.02.036