Results 251 to 260 of about 171,409 (281)

ON THE LOGARITHMIC DERIVATIVE OF NICHOLSON'S INTEGRAL

Analysis and Applications, 2009
The function [Formula: see text] is studied. By employing uniform asymptotic approximations for Bessel functions, as well as Nicholson's integral for [Formula: see text] and a related integral, uniform asymptotic approximations for Mν(x) are obtained for x → ∞, which taken together are uniformly valid for -∞ < ν < ∞.
openaire   +2 more sources

GENERALIZED LOGARITHMIC DERIVATIVE ESTIMATES OF GOL'DBERG–GRINSHTEIN TYPE

Bulletin of the London Mathematical Society, 2003
This paper is devoted to obtaining sharp upper bounds for \(m(r,\frac{f^{(k)}}{f^{(j)}})\), resp. for \(m(r,\frac{\varphi^{(k)}}{\varphi^{(j)}})\), provided \(f\), resp. \(\varphi\), is meromorphic in the complex plane, resp. in the unit disc, and \(k,j\) are integers, \(k>j\geq 0\). These results generalize the logarithmic derivative estimates due to \
Heittokangas, J., Korhonen, R., Rättyä, J.   +2 more
openaire   +1 more source

Logarithmic Derivatives and Generalized Dynkin Operators

2012
Motivated by a recent surge of interest for Dynkin operators in mathematical physics and by problems in the combinatorial theory of dynamical systems, we propose here a systematic study of logarithmic derivatives in various contexts. In particular, we introduce and investigate generalizations of the Dynkin operator for which we obtain Magnus-type ...
Menous, Frederic, Patras, Fr��d��ric   +1 more
openaire   +1 more source

Zeros of higher order logarithmic derivatives

Complex Variables, Theory and Application: An International Journal, 2004
We extend a result of Langley and Shea [J.K. Langley and D. Shea (1998). On multiple points of meromorphic functions. J. London Math. Soc., 57(2), 371–384.] concerning the distribution of zeros of the logarithmic derivative f ′/f to higher order logarithmic derivatives of the form f (k)/f, .
openaire   +1 more source

Logarithmic derivative method and system for capacitance measurement

Review of Scientific Instruments, 2015
A novel method based on logarithmic derivative is introduced to analyze multi-lifetime decay. As the discharge voltage signal of a RC circuit is a special kind of multi-lifetime exponential decay, the logarithmic derivative method can be used to measure single capacitance and multiple capacitances. With the logarithmic derivative method, a log(t) curve
Yichun Wu, Lingzhi Wang, Yuanfeng Cai, Cunqiao Wu   +3 more
openaire   +2 more sources

Derivatives of Exponential and Logarithmic Functions

openaire   +3 more sources

On the integrability of logarithmic derivatives of measures

Mathematical Notes, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

From the Logarithmic Derivative Lemma to Hayman’s Conjecture

Mediterranean Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Kai, Liu, Qi
openaire   +2 more sources

On the Growth of Logarithmic Derivatives

Journal of the London Mathematical Society, 1974
Mues, Erwin, Redheffer, Ray
openaire   +2 more sources

Logarithmic Derivatives

2001
William Cherry, Zhuan Ye
openaire   +1 more source