Zobrazeno 1 - 10
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pro vyhledávání: '"Muldoon, Martin E."'
Autor:
Driver, Kathy, Muldoon, Martin E.
We discuss and compare upper and lower bounds obtained by two different methods for the positive zero of the ultraspherical polynomial $C_{n}^{(\lambda)}$ that is greater than $1$ when $-3/2 < \lambda < -1/2.$ Our first approach uses mixed three term
Externí odkaz:
http://arxiv.org/abs/1602.00044
Publikováno v:
Approximation and Computation: A Festschrift in Honor of Walter Gautschi, ISNM, vol. 119 (1994) pp. 309-323
We prove some new results and unify the proofs of old ones involving complete monotonicity of expressions involving gamma and $q$-gamma functions, $0 < q < 1$. Each of these results implies the infinite divisibility of a related probability measure.
Externí odkaz:
http://arxiv.org/abs/1301.1749
Autor:
Driver, Kathy, Muldoon, Martin E.
Publikováno v:
In Journal of Approximation Theory December 2019 248
Autor:
Muldoon, Martin E.
There is a contrast between the two sets of functional equations f_0(x+y) = f_0(x)f_0(y) + f_1(x)f_1(y), f_1(x+y) = f_1(x)f_0(y) + f_0(x)f_1(y), and f_0(x-y) = f_0(x)f_0(y) - f_1(x)f_1(y), f_1(x-y) = f_1(x)f_0(y) - f_0(x)f_1(y) satisfied by the even
Externí odkaz:
http://arxiv.org/abs/math/9910143
Autor:
Gupta, Dharma P., Muldoon, Martin E.
N. Kishore, Proc. Amer. Math. Soc. 14 (1963), 523, considered the Rayleigh functions sigma_n, sums of the negative even powers of the (non-zero) zeros of the Bessel function J_nu(z) and provided a convolution type sum formula for finding sigma_n in t
Externí odkaz:
http://arxiv.org/abs/math/9910128
Autor:
Muldoon, Martin E., Neuman, František
Nonoscillatory second order differential equations always admit ``special'', principal solutions. For a certain type of oscillatory equation principal pairs of solutions were introduced by \'A. Elbert, F. Neuman and J. Vosmansk\'y, {\em Diff. Int. Eq
Externí odkaz:
http://arxiv.org/abs/math/9503223
Autor:
Muldoon, Martin E., Ungar, Abraham A.
Publikováno v:
Mathematics Magazine, 1996 Feb 01. 69(1), 3-14.
Externí odkaz:
https://www.jstor.org/stable/2691389
Autor:
Driver, Kathy, Muldoon, Martin E.
Publikováno v:
In Indagationes Mathematicae September 2016 27(4):930-944
Autor:
Driver, Kathy, Muldoon, Martin E.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 July 2016 439(1):323-329
Autor:
Driver, Kathy, Muldoon, Martin E.
Publikováno v:
In Journal of Approximation Theory May 2015 193:89-98