On the zeros of a function related to Bessel functions
Archivum Mathematicum (1982)
- Volume: 018, Issue: 1, page 23-34
- ISSN: 0044-8753
Access Full Article
topHow to cite
topMuldoon, Martin E.. "On the zeros of a function related to Bessel functions." Archivum Mathematicum 018.1 (1982): 23-34. <http://eudml.org/doc/18074>.
@article{Muldoon1982,
author = {Muldoon, Martin E.},
journal = {Archivum Mathematicum},
keywords = {Bessel functions; concavity; convexity},
language = {eng},
number = {1},
pages = {23-34},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the zeros of a function related to Bessel functions},
url = {http://eudml.org/doc/18074},
volume = {018},
year = {1982},
}
TY - JOUR
AU - Muldoon, Martin E.
TI - On the zeros of a function related to Bessel functions
JO - Archivum Mathematicum
PY - 1982
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 018
IS - 1
SP - 23
EP - 34
LA - eng
KW - Bessel functions; concavity; convexity
UR - http://eudml.org/doc/18074
ER -
References
top- M. Abramowitz, I. A. Stegun, eds., Handbook of Mathematical Functions, Applied Mathematics Series, vol. 55, National Bureau of Standards, Washington, 1964. (1964) Zbl0171.38503
- S. Ahmed aпd F. Calogero, On the zeros of Bessel Functions. - III, Lett. Nuovo Cimento, 21 (1978), 311-314. (1978) MR0496061
- J. R. Airey, The vibrations of cylinders and cylindrical shells, Arch. d. Math. u. Phys. (3) 20 (1913), 289-294. (1913)
- H. S. Carslaw, J. C. Jaeger, Conduction of heat in solids, 2nd ed., Clarendon Press, Oxford, 1959. (1959) MR0959730
- R. Couгant, D. Hilbert, The methods of mathematical physics, vol. 1, 1st English edition, Wiley-Interscience, New York, 1953. (1953) MR0065391
- A. Erdélyi, al., Higher transcendental functions, vol. 2, McGгaw-Hill, New Yoгk, 1954. (1954)
- K. D. Graham, Separation of eigenvalues of the wave equation for the unit ball in , Studies Appl. Math. 52 (1973), 329-343. (1973) MR0377257
- K. D. Graham, On boundary value control of symmetric hyperbotic systems, Ph. D thesis, University of Minnesota, Minneapolis, 1973. (1973)
- K. D. Graham, D. L. Russell, Boundary value control of the wave equation in a spherical region, SIAM. J. Control 13 (1975), 174-196. (1975) Zbl0315.93004MR0355756
- P. Hartman, A. Wintner, On nonconservative linear oscillators of low frequency, Amer. J. Math. 70 (1945), 529-539. (1945) MR0026736
- M. E. H. Ismail, M. E. Muldoon, Monotonicity of the zeros of a cross-product of Bessel functions, SIAM. J. Math. Anal. 9 (1978), 759-767. (1978) Zbl0388.33005MR0486686
- E. Jähnke F. Emde, F. Lösch, Tables of higher functions, 6th ed., McGraw-Hill, New York, 1960. (1960) MR0114317
- K. Kreith, Comparison theorems for non-self-adjoint differential equations based on integral inequalities, Proc. Amer. Math. Soc. 34 (1972), 105-109. (1972) MR0304770
- W. Leighton, A substitute for the Picone formula, Bull. Amer. Math. Soc. 55 (1949), 325-328. (1949) Zbl0032.34702MR0031156
- W. Leighton, Comparison theorems for linear differential equations of the second order, Proc. Amer. Math. Soc. 13 (1962), 603-610. (1962) MR0140759
- A. Yu. Levin, A comparison principle for second-order differential equations, Soviet Math. Doklady 1 (1960), 1313-1316. [Russian original, Dokl. Akad. Nauk SSSR 136 (1960), 783-786.] (1960) Zbl0102.07801MR0124563
- J. T. Lewis, M. E. Muldoon, Monotonicity and convexity properties of zeros of Bessel functions, SIAM. J. Math. Anal. 8 (1977), 171-178. (1977) Zbl0365.33004MR0437823
- L. Lorch, Comparison of two formulations of Sonin's theorem and of their respective applications to Bessel functions, Studia Sci. Math. Hungar. 1 (1966), 141-145. (1966) Zbl0148.30101MR0204723
- L. Lorch M. E. Muldoon, P. Szego, Higher monotonicity properties of certain Sturm-Liouville functions, IV, Canad. J. Math. 24 (1972), 349-365. (1972) MR0298113
- E. Makai, On a monotonic property of certain Sturm-Liouville functions, Acta. Math. Acad. Sci. Hungar. 3 (1952), 165-172. (1952) Zbl0048.32302MR0054103
- M. E. Muldoon, On the zeros of a cross-product of Bessel functions of different orders, Z. Angew. Math. Mech., 59 (1979), 272-273. (1979) Zbl0409.33007MR0545781
- A. D. Rawlins, A new class of Bessel function inequality useful for investigating the roots of a class of transcendental equation involving Bessel functions, Proc. Roy. Soc. Edinburgh 74A (1974-1975), 231-238. (1974) MR0440089
- R. Ruedy, On the propagation of longitudinal waves in cylindrical rods, Canad. J. Research, 5 (1931), 149-155. (1931)
- R. Spigler, Sulle radici dell’ equazione: , Atti Sem. Mat. Fis. Univ. Modena 24 (1975), 399-419. (1975) MR0422723
- Ch. Sturm, Mémoire sur les équations différentielles du second ordre, J. Math. Pures Appl. 1 (1836), 106-186.
- G. Szegö, Inequalities for the zeros of Legendre polynomials and related functions, Trans. Amer. Math. Soc. 39 (1936), 1-17. (1936) MR1501831
- G. Szegö, Orhogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23,4th ed., 1975. (1975)
- G. N. Watson, A treatise on the theory of Bessel functions, 2nd ed., Cambridge University Press, 1944. (1944) Zbl0063.08184MR0010746
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.