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- Title
ON THE GENERALIZED HURWITZ-LERCH ZETA FUNCTION AND GENERALIZED LAMBERT TRANSFORM.
- Authors
KUMAR, VIRENDRA
- Abstract
Raina and Srivastava [20] introduced a generalized Lambert transform. Goyal and Laddha [8] have introduced generalizations of the Riemann zeta function and generalized Lambert transform. In the present paper, we introduce generalizations of the Hurwitz-Lerch zeta function and Lambert transform in a diverse direction. We derive generating functions involving generalized Hurwitz-Lerch zeta function. Connections between the generalized Lambert transform and generalized Hurwitz-Lerch zeta function are established. An inversion formula for the generalized Lambert transform is obtained. Some examples and special cases to illustrate our results are also mentioned.
- Subjects
ZETA functions; GENERALIZATION; INVERSIONS (Geometry); MATHEMATICAL analysis; MATHEMATICAL models
- Publication
Journal of Classical Analysis, 2021, Vol 17, Issue 1, p55
- ISSN
1848-5979
- Publication type
Article
- DOI
10.7153/jca-2021-17-05