Studies on the zeros of Bessel functions and methods for their computation: 2. Monotonicity, convexity, concavity, and other properties
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 7, pp. 1200-1235

Voir la notice de l'article provenant de la source Math-Net.Ru

This work continues the study of real zeros of first- and second-kind Bessel functions and Bessel general functions with real variables and orders begun in the first part of this paper (see M.K. Kerimov, Comput. Math. Math. Phys. $\mathbf{54}$ (9), 1337–1388 (2014)). Some new results concerning such zeros are described and analyzed. Special attention is given to the monotonicity, convexity, and concavity of zeros with respect to their ranks and other parameters.
@article{ZVMMF_2016_56_7_a1,
     author = {M. K. Kerimov},
     title = {Studies on the zeros of {Bessel} functions and methods for their computation: 2. {Monotonicity,} convexity, concavity, and other properties},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1200--1235},
     publisher = {mathdoc},
     volume = {56},
     number = {7},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a1/}
}
TY  - JOUR
AU  - M. K. Kerimov
TI  - Studies on the zeros of Bessel functions and methods for their computation: 2. Monotonicity, convexity, concavity, and other properties
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2016
SP  - 1200
EP  - 1235
VL  - 56
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a1/
LA  - ru
ID  - ZVMMF_2016_56_7_a1
ER  - 
%0 Journal Article
%A M. K. Kerimov
%T Studies on the zeros of Bessel functions and methods for their computation: 2. Monotonicity, convexity, concavity, and other properties
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2016
%P 1200-1235
%V 56
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a1/
%G ru
%F ZVMMF_2016_56_7_a1
M. K. Kerimov. Studies on the zeros of Bessel functions and methods for their computation: 2. Monotonicity, convexity, concavity, and other properties. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 7, pp. 1200-1235. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a1/