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

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Bibliographic Details
Title: New identities for the family of zeta function by using distributional representations.
Authors: Qadir, Asghar1 (AUTHOR) asgharqadir46@gmail.com, Jamshaid, Aamina2,3 (AUTHOR) aaminajamshaid@gmail.com
Source: Arabian Journal of Mathematics. Aug2025, Vol. 14 Issue 2, p331-337. 7p.
Subject Terms: *ZETA functions, *IDENTITIES (Mathematics), *GAMMA functions, *MATHEMATICAL functions, *MATHEMATICS
Abstract: 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. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
Description
Abstract: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. [ABSTRACT FROM AUTHOR]
ISSN:21935343
DOI:10.1007/s40065-025-00525-z