References
- Lorch L. Monotonicity in terms of order of the zeros of the derivatives of Bessel functions. Proc Amer Math Soc. 1990;108(2):387–389. doi: 10.1090/proc/1990-108-02
- Lorch L, Szego P. On the zeros of derivatives of Bessel functions. SIAM J Math Anal. 1988;19(6):1450–1454. doi: 10.1137/0519108
- Lorch L, Szego P. On the points of inflection of Bessel functions of positive order i. Canad J Math. 1990;42(5):933–948. (Corrigenda. (1990). Canad. J. Math., 42(6), 1132.). doi: 10.4153/CJM-1990-049-x
- Wong R, Lang T. On the points of inflection of Bessel functions of positive order ii. Canad J Math. 1991;43(3):628–651. doi: 10.4153/CJM-1991-037-4
- Kokologiannaki CG, Siafarikas PD. An alternative proof of the monotonicity of jν,1″. Boll Un Mat Ital A. 1993;7(3):373–376. (Errata corrige. (1995). Boll. Un. Mat. Ital. A (7) 9, no. 2, 415.).
- Lorch L. The zeros of the third derivative of Bessel functions of order less than one. Methods Appl Anal. 1995;2(2):147–159. doi: 10.4310/MAA.1995.v2.n2.a2
- Lorch L, Szego P. Monotonicity of the zeros of the third derivative of Bessel functions. Methods Appl Anal. 1995;2(1):103–111. doi: 10.4310/MAA.1995.v2.n1.a7
- Kokologiannaki CG, Petropoulou EN. On the zeros of jν‴(x). Integral Transforms Spec Funct. 2013;24(7):540–547. doi: 10.1080/10652469.2012.720253
- Baricz Á, Kokologiannaki CG, Pogány TK. Zeros of Bessel function derivatives. Proc Amer Math Soc. 2018;146(1):209–222. doi: 10.1090/proc/2018-146-01
- Watson GN. A treatise on the theory of Bessel functions. Cambridge: Cambridge University Press; 1995. (Cambridge Mathematical Library).
- Elbert Á. Some recent results on the zeros of Bessel functions and orthogonal polynomials. J Comput Appl Math. 2001;133(1–2):65–83. (Proceedings of the Fifth International Symposium on Orthogonal Polynomials, Special Functions and their Applications, Patras, 1999). doi: 10.1016/S0377-0427(00)00635-X
- Skelton EA. A new identity for the infinite product of zeros of Bessel functions of the first kind or their derivatives. J Math Anal Appl. 2002;267(1):338–344. doi: 10.1006/jmaa.2001.7779
- Kokologiannaki CG, Laforgia A. Simple proofs of classical results on zeros of jν(x) and jν′(x). Tbilisi Math J. 2014;7(7):35–39.
- Kostin AB, Sherstyukov VB. Computation of sums of natural powers of the inverses of roots of an equation connected with a spectral problem. J Math Sci (N.Y.). 2020;244(4):624–641. doi: 10.1007/s10958-019-04637-8