Asymptotic distribution of the zeros of certain Lagrange interpolants

Biorthogonality of the Lagrange interpolants

The Newton-Lagrange interpolation is a well-known problem in elementary calculus. Recall basic facts concerning this problem [6], [2]. Let Ak, k = 0, 1, 2, . . . and ak, k = 0, 1, 2, . . . be two arbitrary sequences of complex numbers (we assume that all ak are distinct ak 6= aj if k 6= j. By interpolation polynomial we mean a n-degree polynomial Pn(z) whose values at points a0, a1, . . . , an ...

On the Asymptotic Distribution of Certain Sums

On the Asymptotic Distribution of Zeros of Modular Forms

1.1. Our purpose in this note is to study the limiting distribution of zeros of modular forms. We review some definitions: A modular form of weight k for SL2(Z) is a holomorphic function on the upper half-plane H, transforming as f( cz+d ) = (cz + d)f(z), for all ( a b c d ) ∈ SL2(Z) (this forces k to be even), and “holomorphic at the cusp” (see § 2.1). A form is cuspidal if it vanishes at the ...

Asymptotic distribution of eigenvalues of the elliptic operator system

Since the theory of spectral properties of non-self-accession differential operators on Sobolev spaces is an important field in mathematics, therefore, different techniques are used to study them. In this paper, two types of non-self-accession differential operators on Sobolev spaces are considered and their spectral properties are investigated with two different and new techniques.

analysis of reading comprehension needs of the students of paramedical studies: the case of the students of health information management (him)

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