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Some general Hurwitz-Lerch type Zeta functions associated with the Srivastava-Daoust multiple hypergeometric functions

H. M. Srivastava, R. S. Chandel, Hemant Kumar, M Abramowitz, I Stegun, H Srivastava, H Srivastava, H Srivastava, M Daoust, H Srivastava, M Daoust, H Srivastava, M Daoust, H Kumar, H Kumar, R Chandel, R, H Srivastava, R Panda, M Pathan, H Kumar, R Singh Chandel, H Kumar, H Kumar, H Kumar, R Singh, Chandel, V Adamchik, H Srivastava, J Choi, D Jang, H Srivastava, O Daman, M Pathan, P Gupta, R Gupta, S.-H Ong, H Srivastava, S.-D Lin, H Srivastava, S.-D Lin, H Srivastava, P.-Y Wang, H Srivastava, H Srivastava, A Attiya, H Srivastava, S Gaboury, B.-J Fugre, H Srivastava, N Jolly, M Bansal, R Jain, H Srivastava, R Saxena, T Pogny, R Saxena, E Wright, H Srivastava, H Srivastava, H Srivastava, N Hi, O Marichev, H Srivastava, K Matsumoto, J Choi, R ahin, O Yaci, D Kim, J Choi, R Parmar, H Srivastava, R ahin, O Yaci

2022Journal of Nonlinear and Variational Analysis12 citationsDOIOpen Access PDF

Abstract

In this paper, we introduce and investigate various properties and relations involving some general families of double and multiple Hurwitz-Lerch type zeta functions which are associated with the Srivastava-Daoust class of hypergeometric functions in two and more variables. Relevant connections with other (known or new) results for functions of the analytic number theory are also considered.

Topics & Concepts

MathematicsHypergeometric functionType (biology)Pure mathematicsAlgebra over a fieldEcologyBiologyAdvanced Mathematical IdentitiesMathematical functions and polynomialsDifferential Equations and Boundary Problems
Some general Hurwitz-Lerch type Zeta functions associated with the Srivastava-Daoust multiple hypergeometric functions | Litcius