3 citations · 3 across the 4 of their papers we have counts for
5 papers
Bounds for Extreme Zeros of Quasi-orthogonal Ultraspherical Polynomials
Kathy Driver, Martin E. Muldoon
We discuss and compare upper and lower bounds obtained by two different methods for the positive zero of the ultraspherical polynomial that is greater than when $…
Inequalities and monotonicity properties for gamma and q-gamma functions
Mourad E. H. Ismail, Martin E. Muldoon
We prove some new results and unify the proofs of old ones involving complete monotonicity of expressions involving gamma and -gamma functions, . Each of these result…
Riccati equations and convolution formulas for functions of Rayleigh type
Dharma P. Gupta, Martin E. Muldoon
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…
Generalized hyperbolic functions, circulant matrices and functional equations
Martin E. Muldoon
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…
Principal pairs for oscillatory second order linear differential equations
Martin E. Muldoon, František Neuman
Nonoscillatory second order differential equations always admit ``special'', principal solutions. For a certain type of oscillatory equation principal pairs of solutions were intro…