10 Bessel Functions Spherical Bessel Functions 10.47 Definitions and Basic Properties 10.49 Explicit Formulas

§10.48 Graphs

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Keywords:: graphs, spherical Bessel functions
Notes:: These graphs were produced at NIST.
Permalink:: http://dlmf.nist.gov/10.48
See also:: Annotations for Ch.10

See accompanying text — Figure 10.48.1: $\mathsf{j}_{n}\left(x\right)$ , $n=0(1)4$ , $0\leq x\leq 12$ . Magnify

See accompanying text — Figure 10.48.1: $\mathsf{j}_{n}\left(x\right)$ , $n=0(1)4$ , $0\leq x\leq 12$ . Magnify

See accompanying text — Figure 10.48.3: $\mathsf{j}_{5}\left(x\right)$ , $\mathsf{y}_{5}\left(x\right)$ , $\sqrt{{\mathsf{j}_{5}}^{2}\left(x\right)+{\mathsf{y}_{5}}^{2}\left(x\right)}$ , $0\leq x\leq 12$ . Magnify

See accompanying text — Figure 10.48.3: $\mathsf{j}_{5}\left(x\right)$ , $\mathsf{y}_{5}\left(x\right)$ , $\sqrt{{\mathsf{j}_{5}}^{2}\left(x\right)+{\mathsf{y}_{5}}^{2}\left(x\right)}$ , $0\leq x\leq 12$ . Magnify

See accompanying text — Figure 10.48.5: ${\mathsf{i}^{(1)}_{0}}\left(x\right)$ , ${\mathsf{i}^{(2)}_{0}}\left(x\right)$ , $\mathsf{k}_{0}\left(x\right)$ , $0\leq x\leq 4$ . Magnify

See accompanying text — Figure 10.48.5: ${\mathsf{i}^{(1)}_{0}}\left(x\right)$ , ${\mathsf{i}^{(2)}_{0}}\left(x\right)$ , $\mathsf{k}_{0}\left(x\right)$ , $0\leq x\leq 4$ . Magnify

See accompanying text — Figure 10.48.7: ${\mathsf{i}^{(1)}_{5}}\left(x\right)$ , ${\mathsf{i}^{(2)}_{5}}\left(x\right)$ , $\mathsf{k}_{5}\left(x\right)$ , $0\leq x\leq 8$ . Magnify

10.47 Definitions and Basic Properties 10.49 Explicit Formulas

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