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Fractional operators and multi-integral representations for associated Legendre functions

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Publication:5883916
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DOI10.1063/5.0066214OpenAlexW3192119462MaRDI QIDQ5883916

Loyal Durand III

Publication date: 17 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.04339



Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)



Uses Software

  • DLMF


Cites Work

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  • Multi-integral representations for associated Legendre and Ferrers functions
  • Lie theory and special functions
  • Fractional operators and special functions. I. Bessel functions
  • Fractional operators and special functions. II. Legendre functions


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