Two-sided bounds for the logarithmic capacity of multiple intervals (2009)
Potential theory on the complement of a subset of the real axis attracts a lot of attention both in function theory and applied sciences. The paper discusses one aspect of the theory - the...
Log-convexity and log-concavity of hypergeometric-like functions (2009)
We find sufficient conditions for log-convexity and log-concavity for the functions of the forms $a\mapsto\sum{f_k}(a)_kx^k$, $a\mapsto\sum{f_k}\Gamma(a+k)x^k$ and $a\mapsto\sum{f_k}x^k/(a)_k$. The...
An extension of a criterion for unimodality (2008)
J. Alvarez, M. Amadis, G. Boros, D. Karp, V. Moll, L. Rosales
Abstract. We prove that if P (x) is a polynomial with nonnegative nondecreasing coefficients and n is a positive integer, then P (x + n) is unimodal. Applications and open problems are presented. 1.
Inequalities and monotonicity of ratios for generalized hypergeometric function (2007)
We find two-sided inequalities for the generalized hypergeometric function of the form ${_{q+1}}F_{q}(-x)$ with positive parameters restricted by certain additional conditions. Both lower and upper...
An approximation for zero-balanced Appell function $F_1$ near $(1,1)$ (2007)
We suggest an approximation for the zero-balanced Appell hypergeometric function $F_1$ near the singular point $(1,1)$. Our approximation can be viewed as a generalization of Ramanujan's...
We find two convergent series expansions for Legendre's first incomplete elliptic integral $F(\lambda,k)$ in terms of recursively computed elementary functions. Both expansions are valid at every...
Square summability with geometric weight for classical orthogonal expansions (2006)
Let $f_k$ be the $k$-th Fourier coefficient of a function $f$ in terms of the orthonormal Hermite, Laguerre or Jacobi polynomials. We give necessary and sufficient conditions on $f$ for the...
Capacity of a condenser whose plates are circular arcs (2006)
We find an asymptotic formula for the conformal capacity of a plane condenser both plate of which are concentric circular arcs as the distance between them vanishes. This result generalizes the...
The local Gromov-Witten invariants of configurations of rational curves (2005)
Karp, D, Liu, C C M, Marino, M
We compute the local Gromov-Witten invariants of certain configurations of rational curves in a Calabi-Yau threefold. These configurations are connected subcurves of the ``minimal trivalent...
The local Gromov-Witten invariants of configurations of rational curves (2005)
Karp, D, Liu, C C M, Marino, M
We compute the local Gromov-Witten invariants of certain configurations of rational curves in a Calabi-Yau threefold. These configurations are connected subcurves of the ``minimal trivalent...
Karp, D., Savenkova, A., Sitnik, S. M.
We find convergent double series expansions for Legendre's third incomplete elliptic integral valid in overlapping subdomains of the unit square. Truncated expansions provide asymptotic...
Experimental Validation of PALM - A System for Precise Aircraft Location. (2002)
Evans,J. E., Karp,D., LaFrey,R. R., McAulay,R. J., Stiglitz,I. G.
A ground based system to precisely locate aircraft in three dimensions based on transponder replies has been designed. Field tests have been conducted to validate the design of the elevation...
DABS Monopulse Summary. (2002)
Improved azimuthal resolution of proximate aircraft necessary to support ATC automation can be achieved by beacon surveillance systems employing monopulse angle estimation techniques described in...
Chang, A. Y., Kim, K., Glick, J., Anderson, T., Karp, D., Johnson, D.
Background: Patients with metastatic (stage IV) non-small-cell lung cancer usually have a poor prognosis and disease refractory to chemotherapy. Three new agents—taxol, merbarone, and...
Mycobacterium thermoresistibile: a new pathogen for humans.
Weitzman, I, Osadczyi, D, Corrado, M L, Karp, D
The first evidence of the potential pathogenicity of Mycobacterium thermoresistibile is presented. This mycobacterium, initially identified as Mycobacterium gordonae, was isolated repeatedly from...
Mycobacterium thermoresistibile: a new pathogen for humans.
Weitzman, I, Osadczyi, D, Corrado, M L, Karp, D
The first evidence of the potential pathogenicity of Mycobacterium thermoresistibile is presented. This mycobacterium, initially identified as Mycobacterium gordonae, was isolated repeatedly from...