parabolic cylinder functions
(0.005 seconds)
1—10 of 60 matching pages
1: 12.1 Special Notation
…
►Unless otherwise noted, primes indicate derivatives with respect to the variable, and fractional powers take their principal values.
►The main functions treated in this chapter are the parabolic cylinder functions (PCFs), also known as Weber parabolic cylinder functions: , , , and .
…An older notation, due to Whittaker (1902), for is .
…
2: 12.14 The Function
§12.14 The Function
… ►§12.14(iii) Graphs
… ►Bessel Functions
… ►Confluent Hypergeometric Functions
… ►§12.14(x) Modulus and Phase Functions
…3: 12.16 Mathematical Applications
§12.16 Mathematical Applications
… ►For examples see §§13.20(iii), 13.20(iv), 14.15(v), and 14.26. … ► … ►4: 12.15 Generalized Parabolic Cylinder Functions
§12.15 Generalized Parabolic Cylinder Functions
…5: 12 Parabolic Cylinder Functions
Chapter 12 Parabolic Cylinder Functions
…6: 12.6 Continued Fraction
§12.6 Continued Fraction
…7: 12.20 Approximations
§12.20 Approximations
…8: 12.7 Relations to Other Functions
…
►
§12.7(i) Hermite Polynomials
… ►
12.7.1
…
►