Zeros and poles of functions defined by Taylor series

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Common-acoustic-poles/zeros approximation of head-related transfer functions

Common-acoustic-poles/zeros (CAPZ) approximation is a more efficient way to model head-related transfer functions (HRTF’s). In CAPZ approximation, a group of HRTF’s can share a set of poles but use their own zeros. Previous CAPZ works, such as the Prony, Shanks and iterative prefiltering methods, were all based on the linearized least-square criterion. A new state-space approach, jointly balanc...

متن کامل

On Integrability of Functions Defined by Trigonometric Series

The goal of the present paper is to generalize two theorems of R.P. Boas Jr. pertaining to L (p > 1) integrability of Fourier series with nonnegative coefficients and weight x . In our improvement the weight x is replaced by a more general one, and the case p = 1 is also yielded. We also generalize an equivalence statement of Boas utilizing power-monotone sequences instead of {n}.

متن کامل

Richness in Architecture as Defined by Contemporary Iranian Television Series

Today, mass media act like a magic mirror, not only reflecting the reality of societies, but also projecting a variety of images onto people’s thoughts. Because of this great ability to produce, reproduce and disperse images, mass media have acquired considerable influence on people’s lives. Among the different media, the television in particular has become an inseparable part of most Iranian h...

متن کامل

The Distribution of Zeros and Poles of Asymptotically Extremal Rational Functions for Zolotarev's Problem

We investigate the possible limit distributions of zeros and poles associated with ray sequences of rational functions that are asymptotically optimal for weighted Zolotarev problems. For disjoint compacta E1 , E2 in the complex plane, the Zolotarev problem entails minimizing the ratio of the sup over E1 of the modulus of a weighted rational to its inf over E2 . Potential theoretic tools are ut...

متن کامل

On Entire Functions Defined by a Dirichlet Series: Correction

1. As pointed out by Sunyer i Balaguer in the preceding paper the proofs of Theorem 1 and of the second part of Theorem 2 of our paper [l ] are faulty. We observe that if we impose the additional hypothesis that Afs(D), is a nonincreasing function for sufficiently small a then the proofs can be made to work. After correction Theorem 1 and the second part of Theore...

متن کامل

ذخیره 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: Bulletin of the American Mathematical Society

سال: 1943

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1943-07979-7