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Modified Double Zeta Function and Its Properties

机译:改进的Double Zeta函数及其性质

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The present paper aims at introducing and investigating a new class of generalized double zeta function i.e. modified double zeta function which involves the Riemann, Hurwitz, Hurwitz-Lerch, Barnes double zeta function and Bin-Saad generalized double zeta function as particular cases. The results are obtained by suitably applying Riemann-Liouville type and Tremblay fractional integral and differential operators. We derive the expansion formula for the proposed function with some of its properties via fractional operators and discuss the link with known results.
机译:本文旨在介绍和研究一类新的广义双重zeta函数,即修改后的双重zeta函数,其中涉及Riemann,Hurwitz,Hurwitz-Lerch,Barnes双重zeta函数和Bin-Saad广义双重zeta函数作为特殊情况。通过适当应用Riemann-Liouville型和Tremblay分数阶积分和微分算子可以得到结果。我们通过分数运算符导出拟议函数的扩展公式及其某些性质,并讨论具有已知结果的链接。

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