in this paper we demonstrate the existence of a set of polynomials pi , 1 i  n , which arepositive semi-definite on an interval [a , b] and satisfy, partially, the conditions of polynomials found in thelagrange interpolation process. in other words, if a  a1  an  b is a given finite sequence of realnumbers, then pi (a j )  ij (ij is the kronecker delta symbol ) ; moreover, the sum of ...

The computation of functions of matrices is a classical topic in numerical linear algebra. In the recent years research in this area has received new impulse due to the introduction of Krylov subspace techniques for the treatment of functions of large and sparse matrices, in particular in the context of the solution of di erential problems. Such techniques are projective in nature, since they r...

a function is said to be bi-univalent on the open unit disk d if both the function and its inverse are univalent in d. not much is known about the behavior of the classes of bi-univalent functions let alone about their coefficients. in this paper we use the faber polynomial expansions to find coefficient estimates for four well-known classes of bi-univalent functions which are defined by subord...

Abstract In order to describe quantum mechanical effects, the use of von-Neumann equation is apparent. this work, we present a unified numerical framework so that in center-of-mass coordinates leads Quantum Liouville-type when choosing suitable basis. particular, proposed approach can be related conventional Wigner plane wave basis used. The drawback methods high computational cost. Our present...

[2] Tina Dell’Armi, Wolfgang Faber, Giuseppe Ielpa, Christoph Koch, Nicola Leone, Simona Perri, and Gerald Pfeifer. System Description: DLV. In Thomas Eiter, Wolfgang Faber, and Miros law Truszczyński, editors, Logic Programming and Nonmonotonic Reasoning — 6th International Conference, LPNMR’01, Vienna, Austria, September 2001, Proceedings, number 2173 in LNAI, pages 409–412. Springer Verlag, ...

In the present paper, we introduce a new subclass H∑m (λ,β)of the m-fold symmetric bi-univalent functions. Also, we find the estimates of the Taylor-Maclaurin initial coefficients |am+1| , |a2m+1| and general coefficients |amk+1| (k ≥ 2) for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.

Mimesis is a relatively widespread phenomenon among reef fish, but the ontogenetic processes relevant for mimetic associations in fish are still poorly understood. In the present study, the allometric growth of two allopatric leaf-mimetic species of ephippid fishes, Chaetodipterus faber from the Atlantic and Platax orbicularis from the Indo-Pacific, was analyzed using ten morphological variable...

By Phyllis Bottome. Faber & Faber, Ltd. Price 10s. 6d. net. This is the third appreciation of Adler published in England since his death at Aberdeen in August, 1937. It is written by a well-known novelist who, with her husband, was in close touch with Adler and his family for the last ten years of his life. It is the most intimate account yet available in English and gives many personal details...