Poisson summation formula and index transforms
Following the work of the second author, a class of summation formulas attached to index transforms is studied in this paper. Our primary results concern summation and integral formulas with respect to the second index of the Whittaker function $W_{μ,ν}(z)$.
Authors
- Semyon Yakubovich (ORCID: https://orcid.org/0000-0003-2522-6770)
- Pedro Ribeiro (ORCID: https://orcid.org/0000-0002-5768-1383)
Institutions
- Universidade do Porto (PT)
Publication Details
- Journal
- Integral Transforms and Special Functions
- Published
- 2025-02-04
- DOI
- https://doi.org/10.1080/10652469.2024.2448448
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundação para a Ciência e a Tecnologia
- Centro de Matemática Universidade do Porto