Addition formulas for Jacobi, Gegenbauer, Laguerre, and hyperbolic Bessel functions of the second kind
Journal Article
·
· SIAM J. Math. Anal.; (United States)
A set of addition formulas is presented for the Jacobi, Laguerre, Gegenbauer, and hyperbolic Bessel functions of the second kind, Q/sub ..nu..//sup (..cap alpha..,..beta..)/, N/sub ..nu..//sup ..cap alpha../, D/sub ..nu..//sup ..cap alpha../, and K/sub ..nu../. These addition formulas are analogs of Koornwinder's addition formulas for P/sub n//sup (..cap alpha..,..beta..)/ and L/sub n//sup ..cap alpha../, and of Gregenbauer's addition formulas for C/sub n//sup ..cap alpha../and J/sub n/. The addition formulas are derived from a set of product formulas for the functions of the second kind derived previously by the author, and, conversely, can be integrated to give the product formulas.
- Research Organization:
- Univ. of California, Los Alamos, NM
- OSTI ID:
- 6821243
- Journal Information:
- SIAM J. Math. Anal.; (United States), Journal Name: SIAM J. Math. Anal.; (United States) Vol. 10:2; ISSN SJMAA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Product formulas and Nicholson-type integrals for Jacobi functions. I. Summary of results. [Gegenbauer, Laguerre, Hermite functions]
Computation of real fractional order Bessel functions of the second kind
Zeros of Jacobi polynomials P/sub n//sup (. cap alpha. /sub n/,. beta. /sub n/)/(x)
Journal Article
·
Tue Jan 31 23:00:00 EST 1978
· SIAM J. Math. Anal.; (United States)
·
OSTI ID:6424771
Computation of real fractional order Bessel functions of the second kind
Journal Article
·
Thu Sep 01 00:00:00 EDT 1977
· ACM Trans. Math. Software; (United States)
·
OSTI ID:6719955
Zeros of Jacobi polynomials P/sub n//sup (. cap alpha. /sub n/,. beta. /sub n/)/(x)
Journal Article
·
Sat Mar 31 23:00:00 EST 1979
· Trans. Am. Math. Soc.; (United States)
·
OSTI ID:6898370