Analytical Study of the Generalization Hurwitz - Lerch Zeta Function of Two Variables Using Beta Function


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Authors

  • Archna Jaiswal Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University Ayodhya, Uttar Pradesh, India
  • S. K. Raizada Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University Ayodhya, Uttar Pradesh, India

Keywords:

Generalized Hurwitz-Lerch Zeta function, Gamma function, Beta function, Hypergeometric function, Binomial series, Eulerian integral

Abstract

Firstly, the Generalized Hurwitz-Lerch Zeta Function of two variables is defined using Beta Function. Then several integral representations and summation formula are investigated for this function. The function that we have introduced here has also been represented in term of generalised Hypergeometric Function ${}_{p}F_{q}$. To strengthen our main results, we have also considered some important special cases.

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Published

12-02-2024

How to Cite

Archna Jaiswal, & S. K. Raizada. (2024). Analytical Study of the Generalization Hurwitz - Lerch Zeta Function of Two Variables Using Beta Function. International Journal of Mathematics And Its Applications, 12(1), 7–17. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1434

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Section

Research Article