On the zeros of $L’+L\sp 2$ for certain rational functions $L$
نویسندگان
چکیده
منابع مشابه
On the Number of Zeros of Certain Rational Harmonic Functions
Extending a result of Khavinson and Świa̧tek (2003) we show that the rational harmonic function r(z) − z, where r(z) is a rational function of degree n > 1, has no more than 5n − 5 complex zeros. Applications to gravitational lensing are discussed. In particular, this result settles a conjecture by Rhie concerning the maximum number of lensed images due to an n-point gravitational lens.
متن کاملOn the Exact Location of the Zeros of Certain Families of Rational Period Functions and Other Related Rational Functions
The classification of Rational Period Functions on the modular group has been of some interest recently, and was accomplished by studying the pole sets of these rational functions. We take a complex analytic point of view and begin an investigation into the location of zeros of certain families of rational period functions.
متن کاملThe Zeros of Certain Lommel Functions
Lommel’s function sμ,ν(z) is a particular solution of the differential equation z2y′′ + zy′ + (z2 − ν2)y = zμ+1. Here we present estimates and monotonicity properties of the positive zeros of sμ−1/2,1/2(z) when μ ∈ (0, 1). The positivity of a closely related integral is also considered.
متن کاملOn the Distributions of the Zeros of Certain Analytic Functions.
where J and N are positive integers, and the X's are real or complex constants. It is assumed that we do not have XON = XiN = .. = XJN, and that we do not have XOn = Xln = . . . = )kXj * Ofor any n < N. It is also assumed that no two terms in the right-hand member of (1) are identical or differ only by a constant factor. The work reported here is essentially a generalization, in one direction, ...
متن کاملdeveloping a pattern based on speech acts and language functions for developing materials for the course “ the study of islamic texts translation”
هدف پژوهش حاضر ارائه ی الگویی بر اساس کنش گفتار و کارکرد زبان برای تدوین مطالب درس "بررسی آثار ترجمه شده ی اسلامی" می باشد. در الگوی جدید، جهت تدوین مطالب بهتر و جذاب تر، بر خلاف کتاب-های موجود، از مدل های سطوح گفتارِ آستین (1962)، گروه بندی عملکردهای گفتارِ سرل (1976) و کارکرد زبانیِ هالیدی (1978) بهره جسته شده است. برای این منظور، 57 آیه ی شریفه، به صورت تصادفی از بخش-های مختلف قرآن انتخاب گردید...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1989
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1989-0984814-0