Treffer: On everywhere differentiable quasi-classical approximations of Bessel functions

Title:
On everywhere differentiable quasi-classical approximations of Bessel functions
Authors:
Samarin, V. V., Samarina, S. M.
Publisher Information:
Springer US, New York, NY; Pleiades Publishing, New York, NY; MAIK ``Nauka/Interperiodica'', Moscow
Subject Terms:
Bessel functions, Computation of special functions and constants, construction of tables, Neumann functions, everywhere differentiable approximations, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Numerical approximation and evaluation of special functions
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Access URL:
https://zbmath.org/1701747
Accession Number:
edsair.c2b0b933574d..8b0b1110317db2d3ceb937f37c9cdf3d
Database:
OpenAIRE

Weitere Informationen

The authors generalize the quasi-classical approximation to obtain everywhere differentiable approximations, in terms of elementary functions, of the Bessel functions \(J_\nu(x)\) and of the Neumann functions \(N_\nu(x)\). The functions contained in these approximate expressions and their derivatives are continuous at the point \(x=\nu\).