Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equation

Foreword


1. Introduction


2. Some Properties of the Tabulated Functions


3. Arrangement and Computation of the Tables, and Methods for their Use


4. Application of the Functions en(t) and ẽn(t) to the Asymptotic Solution of Differential Equations


5. An Example of the Asymptotic Solution of a Differential Equation


6. Use of the Tables in Connection with Toroidal Shells and in Solving Other Problems

References

Table I. The Functions en(t) for t = is and their Derivatives with Respect to s;en(is) = R(en) + iI(en); e'n = den/ds = R(e'n) + iI(e'n); 0 ≦ s ≦ 9; n = 0, 1, 2

Table II. The Functions e0(t), e1(t), e2(t) and their Derivatives for Real t; 0 ≦ t ≦ 10; -1 ≦ t ≦ 0

Table III. The Functions ẽ0(t), ẽ1(t), ẽ2(t) and their Derivatives for Real t; -10 ≦ t ≦ 0; 0 ≦ t ≦ 1

Supplement. Table IV. The Airy Functions h1(t) and h2(t) for t= is and their Derivatives h'1 and h'2 with Respect to s; d2hk/dt2+thk = 0; hk = R(hk) + iI(hk); h'k = dhk/ds = R(h'k) + iI(h'k); 0 ≦ s ≦ 6; k = 1, 2

Volumes in the Mathematical Tables Series