A Dirac delta-type orthogonality relation for the on-the-cut generalized associated Legendre functions of the first kind with imaginary second upper indices
DOI10.1080/10652469.2013.842235zbMath1300.33017OpenAlexW1978652920MaRDI QIDQ5404140
Sebastian Bielski, Radosław Szmytkowski
Publication date: 21 March 2014
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2013.842235
special functionsorthogonal functionsgeneralized associated Legendre functionsthe Dirac delta distribution
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47)
Cites Work
- An index integral and convolution operator related to the kontorovich-lebedev and mehler-Fock transforms
- Comment on the orthogonality of the Macdonald functions of imaginary order
- A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms
- Orthogonality relations for the associated Legendre functions of imaginary order
- An orthogonality relation for the Whittaker functions of the second kind of imaginary order
- Boundary Value Problems of Mathematical Physics: Volume 2
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