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1: 28.18 Integrals and Integral Equations
§28.18 Integrals and Integral Equations
2: 32.5 Integral Equations
§32.5 Integral Equations
3: 30.10 Series and Integrals
Integrals and integral equations for 𝖯𝗌 n m ( x , γ 2 ) are given in Arscott (1964b, §8.6), Erdélyi et al. (1955, §16.13), Flammer (1957, Chapter 5), and Meixner (1951). …
4: 31.10 Integral Equations and Representations
§31.10 Integral Equations and Representations
Kernel Functions
Kernel Functions
For integral equations for special confluent Heun functions (§31.12) see Kazakov and Slavyanov (1996).
5: Bibliography U
  • K. M. Urwin (1964) Integral equations for paraboloidal wave functions. I. Quart. J. Math. Oxford Ser. (2) 15, pp. 309–315.
  • K. M. Urwin (1965) Integral equations for the paraboloidal wave functions. II. Quart. J. Math. Oxford Ser. (2) 16, pp. 257–262.
  • 6: 28.10 Integral Equations
    §28.10 Integral Equations
    §28.10(i) Equations with Elementary Kernels
    §28.10(ii) Equations with Bessel-Function Kernels
    §28.10(iii) Further Equations
    7: 29.8 Integral Equations
    §29.8 Integral Equations
    29.8.2 μ w ( z 1 ) w ( z 2 ) w ( z 3 ) = 2 K 2 K 𝖯 ν ( x ) w ( z ) d z ,
    For further integral equations see Arscott (1964a), Erdélyi et al. (1955, §15.5.3), Shail (1980), Sleeman (1968a), and Volkmer (1982, 1983, 1984).
    8: 30.15 Signal Analysis
    §30.15(ii) Integral Equation
    9: 12.18 Methods of Computation
    These include the use of power-series expansions, recursion, integral representations, differential equations, asymptotic expansions, and expansions in series of Bessel functions. …
    10: 36.10 Differential Equations
    §36.10 Differential Equations
    §36.10(i) Equations for Ψ K ( 𝐱 )
    K = 2 , cusp: … K = 3 , swallowtail: … In terms of the normal forms (36.2.2) and (36.2.3), the Ψ ( U ) ( 𝐱 ) satisfy the following operator equations