L. Lorch, M. E. Muldoon and P. Szego, Higher monotonicity
properties of certain Sturm-Liouville functions. III, Canadian
Journal of Mathematics 22 (1970), 1238-1265.
M. E. Muldoon, Elementary remarks on multiply monotonic functions
and sequences, Canadian Mathematical Bulletin 14
(1971), 69-72.
L. Lorch, M. E. Muldoon and P. Szego, Higher monotonicity
properties of certain Sturm-Liouville functions. IV, Canadian
Journal of Mathematics 24 (1972), 349-368.
M. E. Muldoon, Higher monotonicity properties of certain
Sturm-Liouville functions. V, Proceedings of the Royal Society
of Edinburgh 77A (1977), 23-37.
M. E. Muldoon, An infinite system of equations characterizing
the zeros of Bessel functions, Lettere al Nuovo Cimento
23 (1978), 447-448.
M. E. Muldoon, On the zeros of a cross-product of Bessel
functions of different orders, Zeitschrift für Angewandte
Mathematik und Mechanik 59 (1979), 272-273.
S. Ahmed and M. E. Muldoon, On the zeros of confluent
hypergeometric functions. III. Characterization by means of
nonlinear equations, Lettere al Nuovo Cimento 29
(1980), 353-358.
M. E. Muldoon, The variation with respect to order of zeros of
Bessel functions, Rendiconti del Seminario Matematico dell'
Università e del Politecnico di Torino 39 (1981), 15-
25.
M. E. Muldoon, A differential equations proof of a Nicholson-
type formula, Zeitschrift für Angewandte Mathematik und
Mechanik 61 (1981), 598-599.
S. Ahmed, A. Laforgia and M. E. Muldoon, On the spacing of the
zeros of some classical orthogonal polynomials, Journal of the
London Mathematical Society, second series 25 (1982),
246-252.
M. E. Muldoon, On the zeros of a function related to Bessel
functions, Archivum Mathematicum18 (1982), 23-34.
A. Laforgia and M. E. Muldoon, Monotonicity and concavity
properties of zeros of Bessel functions, Journal of
Mathematical Analysis and Applications 98 (1984),
470-477.
Martin Muldoon and Melvin Zimmerman, Flexible retirement and fair
treatment, CAUT Bulletin de l'ACPU, April 1984, p. 48.
M. E. H. Ismail, L. Lorch and M. E. Muldoon,
Completely monotonic functions associated with the gamma function
and its q-analogues, Journal of Mathematical Analysis
and Applications116 (1986), 1-9.
M. E. H. Ismail and M. E. Muldoon, Certain monotonicity
properties of Bessel functions, Journal of Mathematical
Analysis and Applications118 (1986), 145-150.
M. E, Muldoon, On the zeros of some special functions: differential
equations and Nicholson-type formulas, in
J. Vosmanský and M. Zlámal, eds., Proceedings, Equadiff 6 (Brno,
1985), Lecture Notes in Mathematics 1192 (1986), 155-160.
L. Lorch and M. E. Muldoon, An
inequality for concave
functions with applications to Bessel and trigonometric functions,
Facta Universitatis (Nis), Ser. Math. Inform. 2
(1987), 29-34.
M. E. H. Ismail and M. E. Muldoon, Zeros of combinations of
Bessel functions and their derivatives, Applicable
Analysis 31 (1988), 73-90.
M. E. H. Ismail and M. E. Muldoon, On the variation with
respect to a parameter of zeros of Bessel and q-Bessel functions,
Journal of Mathematical Analysis and Applications
135 (1988), 187-207.
A. Laforgia and M. E. Muldoon, Monotonicity properties of
zeros of generalized Airy functions, Zeitschrift fur
Angewandte Mathematik und Physik 39 (1988), 267-271.
M. E. Muldoon, On the positive roots of an equation
involving modified Bessel functions, Proceedings of the
Edinburgh Mathematical Society 33 (1990), 491-493.
L. Lorch, M. E. Muldoon and P. Szego, Points of inflection of
Bessel functions of negative order, Canadian Journal of
Mathematics 43 (1991), 1309-1322.
M. E. Muldoon, Approximate distribution density of zeros of
Bessel functions, Europhysics Letters 20 (1992), 1-5.
Z. Dosla, M. Hacik and M.E.Muldoon,
Further higher monotonicity properties of Sturm--Liouville
functions, Archivum Mathematicum 29 (1993), 83-96.
M. E. Muldoon, Mathematics as relaxation: the case of Eamon
de Valera, pp. 281-294 in J. J. Tattersall, ed., Proceedings of
the Nineteenth Annual Meeting of the Canadian Society
for History and Philosophy of Mathematics, Carleton University,
May 30 - June 1, 1993.
C. G. Kokologiannaki, M. E. Muldoon and P. D. Siafarikas, A
unimodal property of purely imaginary zeros of Bessel and
related functions, Canadian Mathematical Bulletin 37
(1994), 365-373.
M. E. H. Ismail and M. E. Muldoon, Inequalities and monotonicity
properties for gamma and q-gamma functions, pp. 309-323 in R. V. M.
Zahar, ed., Approximation and Computation: A Festschrift in Honor
of Walter Gautschi, ISNM, vol. 119, Birkhäuser,
Boston-Basel-Berlin, 1994.
Lee Lorch and Martin E. Muldoon, Transcendentality of zeros of
higher
derivatives of functions involving Bessel functions, International
Journal
of Mathematics and Mathematical Sciences 18 (1995),
551-560.
A. Ronveaux and M. E. Muldoon,
Stieltjes
sums for zeros of
orthogonal polynomials, Proceedings of Fourth International Symposium
on
Orthogonal Polynomials and their Applications, Evian-les-Bains, France
(October 19-23, 1992),
Journal of Computational and Applied Mathematics57 (1995),
261-269.
M. E. Muldoon, A monotonicity property of Bessel functions, in G. Allasia,
ed., Special Functions: Proceedings of a Conference in Honour of the 70
th
Birthday of Luigi Gatteschi, Annals of Numerical Mathematics 2
(1995), 345-351.
M. E. Muldoon, Lee Lorch at 80, Faculty of Arts Newsletter, York
University, vol. 8, Issue 1, September 1995, p. 7. [Description of
Conference.] Slightly revised version
Martin E. Muldoon and Frantisek Neuman, Principal pairs for
oscillatory second order linear differential equations,
pp. 517-526 in R. P. Agarwal, ed., Dynamical Systems and
Applications,
World Scientific Series In Applicable Analysis, vol 4,
Singapore, 1995. .pdf version
Martin E. Muldoon, Electrostatics
and zeros of Bessel functions,
talk given during a conference "Orthogonality, Moment Problems
and Continued Fractions" to honour the memory of Thomas Jan
Stieltjes, Jr. (1856--1894), Delft University of Technology,
October 31 -- November 4, 1994,
Journal of Computational and Applied Mathematics65 (1995), 299-308.
M. E. Muldoon and A. Ungar, Beyond
sin and cos, Mathematics Magazine 69 (1996), 3-14.
A. Elbert and M. E. Muldoon, Inequalities and monotonicity
properties for zeros of Hermite functions, Proceedings of the Royal
Society of Edinburgh, Section A129 (1999), 57-75. Preprint
M. E. Muldoon (editor),
Report on Open Problem Session, OPSFA-Patras,
September 1999, Journal of Computational and Applied Mathematics,
133 (2001), 679-701.
M. E. Muldoon (editor),
Report on Open Problem
Session,
OPSFA-Rome,
June 2001, Journal of Computational and Applied Mathematics,
153 (2003), 531-548.
Martin E. Muldoon, Generalized hyperbolic functions, circulant
matrices and functional equations,
Linear Algebra and its Applications
406 (2005), 272-284.
Preprint
Mark V. Defazio and Martin E. Muldoon,
On the zeros of a transcendental function, pp.
385-394 in
H. G. W. Begehr et al, eds.,
Advances
in Analysis: Proceedings of the 4th ISAAC Congress
, World Scientific, Singapore - New Jersey - London, 2005.