Some new recurrence relations concerning Jacobi functions

DOI10.1155/2013/162429zbMath1275.33018OpenAlexW2016565472WikidataQ59015244 ScholiaQ59015244MaRDI QIDQ355651

Ahmedou Ould Ahmed Salem, Hatem Mejjaoli

Publication date: 25 July 2013

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/162429

zbMATH Keywords

recurrence relationsBessel functionJacobi functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical aspects of recurrence relations (65Q30)

Cites Work

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• A note on a sum associated with the generalized hypergeometric function
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Jacobi functions: the addition formula and the positivity of the dual convolution structure
• Summation formulae involving the Laguerre polynomial
• Some new summation formulae for the generalised hypergeometric function of higher order
• Mehler integral transform associated with Jacobi functions with respect to the dual variable
• Products of two restricted hypergeometric functions
• On some index relations for bessel functoins

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