Investigation for the hypergeometric type new extended bivariate zeta function

  • Komal Singh Yadav Department of Mathematics Prof. Rajendra Singh (Rajju Bhaiya) Institute of Physical Sciences for Study and Research, V. B. S. Purvanchal University, Jaunpur (U.P.)- 222003, India
  • Raj Karan Patel Mahamaya Government Degree College Dhanupur, Handia Prayagraj
  • Ashish Verma


We introduce and study a hypergeometric type new extended zeta function, as well as related integral representations and differential relations based on the extended beta function. As particular cases, our hypergeometric type new extended zeta function includes the Riemann, Hurwitz, Hurwitz-Lerch and Barnes zeta functions.