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<p>Chaudhry and Qadir obtained new identities for the gamma function by using a “distributional representation” for it. Here we obtain new identities for the Riemann zeta function and its family by using that representation for them. This also leads to new identities involving the Dirichlet eta and Lambda functions.</p>

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New identities for the family of zeta function by using distributional representations

  • 期刊论文

  • 发表日期：

    2025年6月4日

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  • Asghar Qadir,
  • Aamina Jamshaid

摘要

Chaudhry and Qadir obtained new identities for the gamma function by using a “distributional representation” for it. Here we obtain new identities for the Riemann zeta function and its family by using that representation for them. This also leads to new identities involving the Dirichlet eta and Lambda functions.