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Bin-Saad, M.G. (2009) Hypergeometric Series Associated with the Hurwitz-Lerch Zeta Function. Acta Mathematica Universitatis Comenianae, 78, 269-286.

has been cited by the following article:

• TITLE: Modified Double Zeta Function and Its Properties

  AUTHORS: Arif M. Khan

  KEYWORDS: Modified Zeta Function, Riemann-Liouville Operator, Tremblay Fractional Operators, Hypergeometric Function

  JOURNAL NAME: Advances in Pure Mathematics, Vol.6 No.3, February 29, 2016

  ABSTRACT: 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.