Article ID: MTJPAM-D-20-00029

Title: An Integral Formula Generated by Hurwitz-Lerch Zeta Function with Order 1


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-20-00029; Volume 3 / Issue 3 / Year 2021 (Special Issue), Pages 12-16

Document Type: Research Paper

Author(s): Aykut Ahmet Aygunes a

aAntalya, TURKEY

Received: 13 September 2020, Accepted: 21 October 2020, Published: 25 April 2021.

Corresponding Author: Aykut Ahmet Aygunes (Email address: aykutahmet1981@hotmail.com)

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Abstract

In this paper, we give some results associated with Hurwitz-Lerch zeta function with order 1 which is special case of Hurwitz-Lerch zeta function. One of the results is the integral formula including Hurwitz-Lerch zeta function with order 1. The other result is a corollary generated by integral representation of Hurwitz-Lerch zeta function with order 1.

Keywords: Hurwitz-Lerch zeta function, Hurwitz-Lerch zeta function with order 1, Riemann zeta function

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