Some monotonicity properties associated with the zeros of Bessel functions
Archivum mathematicum, Tome 26 (1990) no. 2-3, pp. 137-146 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 33C10, 34C10
@article{ARM_1990_26_2-3_a10,
     author = {Lorch, Lee},
     title = {Some monotonicity properties associated with the zeros of {Bessel} functions},
     journal = {Archivum mathematicum},
     pages = {137--146},
     year = {1990},
     volume = {26},
     number = {2-3},
     mrnumber = {1188273},
     zbl = {0731.33002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1990_26_2-3_a10/}
}
TY  - JOUR
AU  - Lorch, Lee
TI  - Some monotonicity properties associated with the zeros of Bessel functions
JO  - Archivum mathematicum
PY  - 1990
SP  - 137
EP  - 146
VL  - 26
IS  - 2-3
UR  - http://geodesic.mathdoc.fr/item/ARM_1990_26_2-3_a10/
LA  - en
ID  - ARM_1990_26_2-3_a10
ER  - 
%0 Journal Article
%A Lorch, Lee
%T Some monotonicity properties associated with the zeros of Bessel functions
%J Archivum mathematicum
%D 1990
%P 137-146
%V 26
%N 2-3
%U http://geodesic.mathdoc.fr/item/ARM_1990_26_2-3_a10/
%G en
%F ARM_1990_26_2-3_a10
Lorch, Lee. Some monotonicity properties associated with the zeros of Bessel functions. Archivum mathematicum, Tome 26 (1990) no. 2-3, pp. 137-146. http://geodesic.mathdoc.fr/item/ARM_1990_26_2-3_a10/

[1] Milton Abramowitz: Zeros of certain Bessel functions of fractional order. Math. Comp.. (then Math. Tables and other Aids to Comp.) 1 (1943-1945), 353-354. | MR

[2] Á. Elbert, A. Laforgia: On the square of the zeros of Bessel functions. SIAM J. Math. Anal. 15 (1984), 206-212. | MR | Zbl

[3] Mourad E. H. Ismail, Martin E. Muldoon: On the Variation with respect to a parameter of zeros of Bessel and q-Bessel functions. J. Math. Anal. and Appl. 135 (1988), 187-207. | MR

[4] E. Jahnke F. Emde, F. Lösch: Tables of higher functions. 6th ed., McGraw-Hill, New York, 1960. | MR

[5] Andrea Laforgia, Martin E. Muldoon: Inequalities and approximations for zeros of Bessel functions of small order. SIAM J. Math. Anal. 14 (1983), 383-388. | MR

[6] Andrea Laforgia, Martin E. Muldoon: Monotonicity and Concavity Properties of Bessel functions. J. Math. Anal. and Appl., 98 (1984), 470-477. | MR

[7] Andrea Laforgia, Martin E. Muldoon: Monotonicity properties of zeros of generalized Airy Functions. J. Appl. Math, and Physics (ZAMP) 39 (1988), 267-271. | MR

[8] J. T. Lewis, M. E. Muldoon: Monotonicity and convexity of properties of zeros of Bessel functions. SIAM J. Math. Anal. 8 (1977), 171-178. | MR

[9] Lee Lorch, Donald J. Newman: A supplement to the Sturm separation theorem, with applications. Amer. Math. Monthly 72 (1965), 359-366. | MR

[10] Lee Lorch, Peter Szego: Monotonicity of the differences of zeros of Bessel functions as a function of order. Proc. Amer. Math. Soc. 15 (1964), 91-96. | MR

[11] E. Makai: On zeros of Bessel functions. Univ. Beograd publ. Elektrotechn. Fak. Ser. Mat. fiz. N 602-633 (1978), 109-110. | MR | Zbl

[12] R. McCann: Inequalities for the zeros of Bessel functions. SIAM J. Math. Anal. 8 (1977) 166-170. | MR | Zbl

[13] F. W. J. Olver: Royal Society Mathematical Tables, 7, Bessel functions. Part III. Zeros and associated values. The University Press. Cambridge. 1960. | MR

[14] G. N. Watson: A treatise on the theory of Bessel functions. 2nd ed., University Press, Cambridge, 1944. | MR | Zbl