Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders

DOI10.1007/s11075-014-9857-5zbMath1311.65024arXiv1403.7927OpenAlexW2139077355WikidataQ115381616 ScholiaQ115381616MaRDI QIDQ2017615

T. M. Dunster, Nico M. Temme, Amparo Gil, Javier Segura

Publication date: 23 March 2015

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7927

zbMATH Keywords

algorithmLegendre functionsthree-term recurrence relationsconical functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computation of special functions and constants, construction of tables (65D20) Numerical approximation and evaluation of special functions (33F05)

Related Items (1)

Conical: an extended module for computing a numerically satisfactory pair of solutions of the differential equation for conical functions

Uses Software

• DLMF
• Conical

Cites Work

• Unnamed Item
• The numerical computation of the confluent hypergeometric function U(a,b,z)
• An improved algorithm and a Fortran 90 module for computing the conical function \(P^m_{-1/2+i\tau}(x)\)
• Computing the Conical Function $P^{\mu}_{-1/2+i\tau}(x)$
• Conical functions with one or both parameters large
• Numerical Methods for Special Functions

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