English

Orthogonality relations for conical functions of imaginary order

Classical Analysis and ODEs 2023-09-12 v1 Mathematical Physics math.MP

Abstract

Orthogonality relations for conical or Mehler functions of imaginary order are derived and expressed in terms of the Dirac delta function. This work extends recently derived orthogonality relations of associated Legendre functions.

Keywords

Cite

@article{arxiv.2309.05616,
  title  = {Orthogonality relations for conical functions of imaginary order},
  author = {Job Feldbrugge and Nynke M. D. Niezink},
  journal= {arXiv preprint arXiv:2309.05616},
  year   = {2023}
}