应用Carlitz逆于$q$ -Pfaff-Saalsch{ü}tz定理的PDMATHAAB-级数的$q$ -类比
$q$-Analogues of $π$-Series by Applying Carlitz Inversions to $q$-Pfaff-Saalsch{ü}tz Theorem
摘要：
将Carlitz逆级数关系的多种形式应用于$q$-Pfaff-Saalsch {ü}tz求和定理，建立了25个非终止$q$ -级数恒等式，其中几个恒等式可作为$π$和$1/π$无穷级数表达式的$q$ -模拟，包括Ramanujan（1914）和Guillera发现的一些典型恒等式.
英文摘要：
By applying multiplicate forms of the Carlitz inverse series relations to the $q$-Pfaff-Saalsch{ü}tz summation theorem, we establish twenty five nonterminating $q$-series identities with several of them serving as $q$-analogues of infinite series expressions for $π$ and $1/π$, including some typical ones discovered by Ramanujan (1914) and Guillera.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
