×

Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders. (English) Zbl 0090.04602


PDFBibTeX XMLCite
Full Text: DOI

Digital Library of Mathematical Functions:

Β§12.10(iii) Negative π‘Ž, -∞<π‘₯<-2⁒√{-π‘Ž} β€£ Β§12.10 Uniform Asymptotic Expansions for Large Parameter β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Β§12.10(ii) Negative π‘Ž, 2⁒√{-π‘Ž}<π‘₯<∞ β€£ Β§12.10 Uniform Asymptotic Expansions for Large Parameter β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Β§12.10(i) Introduction β€£ Β§12.10 Uniform Asymptotic Expansions for Large Parameter β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Β§12.10(iv) Negative π‘Ž, -2⁒√{-π‘Ž}<π‘₯<2⁒√{-π‘Ž} β€£ Β§12.10 Uniform Asymptotic Expansions for Large Parameter β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Β§12.10(vii) Negative π‘Ž, -2⁒√{-π‘Ž}<π‘₯<∞. Expansions in Terms of Airy Functions β€£ Β§12.10 Uniform Asymptotic Expansions for Large Parameter β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Β§12.10(vii) Negative π‘Ž, -2⁒√{-π‘Ž}<π‘₯<∞. Expansions in Terms of Airy Functions β€£ Β§12.10 Uniform Asymptotic Expansions for Large Parameter β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Β§12.10(v) Positive π‘Ž, -∞<π‘₯<∞ β€£ Β§12.10 Uniform Asymptotic Expansions for Large Parameter β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Β§12.11(iii) Asymptotic Expansions for Large Parameter β€£ Β§12.11 Zeros β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Β§12.11(iii) Asymptotic Expansions for Large Parameter β€£ Β§12.11 Zeros β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Β§12.14(ix) Uniform Asymptotic Expansions for Large Parameter β€£ Β§12.14 The Function π‘Š(π‘Ž,π‘₯) β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Β§12.14(ix) Uniform Asymptotic Expansions for Large Parameter β€£ Β§12.14 The Function π‘Š(π‘Ž,π‘₯) β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Airy-type Uniform Expansions β€£ Β§12.14(ix) Uniform Asymptotic Expansions for Large Parameter β€£ Β§12.14 The Function π‘Š(π‘Ž,π‘₯) β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Β§12.14(xi) Zeros of π‘Š(π‘Ž,π‘₯), π‘Š’(π‘Ž,π‘₯) β€£ Β§12.14 The Function π‘Š(π‘Ž,π‘₯) β€£ Properties β€£ Chapter 12 Parabolic Cylinder Functions
Chapter 12 Parabolic Cylinder Functions
Β§18.16(v) Hermite β€£ Β§18.16 Zeros β€£ Classical Orthogonal Polynomials β€£ Chapter 18 Orthogonal Polynomials