Olver, F. W. J. Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders. (English) Zbl 0090.04602 J. Res. Natl. Bur. Stand., Sect. B 63, 131-169 (1959). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 40 Documents Keywords:special functions PDFBibTeX XMLCite \textit{F. W. J. Olver}, J. Res. Natl. Bur. Stand., Sect. B 63, 131--169 (1959; Zbl 0090.04602) Full Text: DOI Digital Library of Mathematical Functions: Β§12.10(iii) Negative π, -β<π₯<-2β’β{-π} β£ Β§12.10 Uniform Asymptotic Expansions for Large Parameter β£ Properties β£ Chapter 12 Parabolic Cylinder Functions Β§12.10(ii) Negative π, 2β’β{-π}<π₯<β 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, -2β’β{-π}<π₯<2β’β{-π} β£ Β§12.10 Uniform Asymptotic Expansions for Large Parameter β£ Properties β£ Chapter 12 Parabolic Cylinder Functions Β§12.10(vii) Negative π, -2β’β{-π}<π₯<β. 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, -2β’β{-π}<π₯<β. 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, -β<π₯<β 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(π,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(π,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(π,π₯) β£ Properties β£ Chapter 12 Parabolic Cylinder Functions Β§12.14(xi) Zeros of π(π,π₯), π’(π,π₯) β£ Β§12.14 The Function π(π,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