Bessel polynomials
(0.005 seconds)
11—20 of 82 matching pages
11: Bibliography W
…
►
Asymptotic expansions of the generalized Bessel polynomials.
J. Comput. Appl. Math. 85 (1), pp. 87–112.
…
12: 10 Bessel Functions
Chapter 10 Bessel Functions
…13: 18.15 Asymptotic Approximations
…
►
18.15.6
…
►
18.15.19
…
►Here denotes the Bessel function (§10.2(ii)), denotes its envelope (§2.8(iv)), and is again an arbitrary small positive constant.
…
14: Bibliography G
…
►
Bessel Polynomials.
Lecture Notes in Mathematics, Vol. 698, Springer, Berlin-New York.
…
15: Errata
…
►
Equation (18.12.2)
…
►
Equation (18.34.1)
►
Equation (18.34.2)
…
►
Chapters 10 Bessel Functions, 18 Orthogonal Polynomials, 34 3j, 6j, 9j Symbols
►
Chapters 1 Algebraic and Analytic Methods, 10 Bessel Functions, 14 Legendre and Related Functions, 18 Orthogonal Polynomials, 29 Lamé Functions
…
18.12.2
This equation was updated to include on the left-hand side, its definition in terms of a product of two functions.
18.34.1
This equation was updated to include the definition of Bessel polynomials in terms of Laguerre polynomials and the Whittaker confluent hypergeometric function.
18.34.2
This equation was updated to include definitions in terms of the modified spherical Bessel function of the second kind.
Over the preceding two months, the subscript parameters of the Ferrers and Legendre functions, and the Laguerre polynomial, , were incorrectly displayed as superscripts. Reported by Roy Hughes on 2022-05-23
16: 3.5 Quadrature
17: 10.60 Sums
18: 18.41 Tables
…
►
§18.41(i) Polynomials
►For () see §14.33. ►Abramowitz and Stegun (1964, Tables 22.4, 22.6, 22.11, and 22.13) tabulates , , , and for . The ranges of are for and , and for and . … ►For , , and see §3.5(v). …19: 18.11 Relations to Other Functions
20: Bibliography H
…
►
Expansions for the probability function in series of Čebyšev polynomials and Bessel functions.
Bul. Akad. Štiince RSS Moldoven. 1976 (1), pp. 77–80, 96 (Russian).
…