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Monotonicity and concavity properties of zeros of Bessel functions

โœ Scribed by Andrea Laforgia; Martin E Muldoon

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
284 KB
Volume
98
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

Monotonicity Properties of the Zeros of
Monotonicity Properties of the Zeros of Ultraspherical Polynomials
โœ รrpรกd Elbert; Panayiotis D. Siafarikas ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 111 KB

## Let x (*) n, k , k=1, 2, ..., [nร‚2], denote the k th positive zero in increasing order of the ultraspherical polynomial P (\*) n (x). We prove that the function [\*+(2n 2 +1)ร‚ (4n+2)] 1ร‚2 x (\*) n, k increases as \* increases for \*> &1ร‚2. The proof is based on two integrals involved with the s