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Zeros of generalized Airy functions
Author(s) -
Baldwin P.
Publication year - 1985
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300010925
Subject(s) - mathematics , simple (philosophy) , interlacing , airy function , zero (linguistics) , mathematical analysis , pure mathematics , philosophy , linguistics , epistemology , computer science , operating system
Summary Some interlacing properties of the zeros of the generalized Airy functions A 1 (z, p) are given for non‐positive integral values of p . The result that A 1 (z,p) has no real zero for p > 1 2is extended to show that all the zeros of A 1 (z,p) are real and simple if p < 1 2 . It is also shown that all the zeros of the functions B k (z,p , 1) for k = 1, 2, 3 are simple for non‐positive integral p .