vol20_pp730-738. 113KB Jun 04 2011 12:06:10 AM
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We define and investigate a new class of harmonic multivalent functions defined by S˘ al˘ agean integral operator.. We obtain coefficient inequalities and distortion bounds for
A limiting formula is given for the spectral radius of the expanded graph when the lengths of some chains replacing the original edges tend to innity.. The proofs depend on
Thus the purpose of this article is to show what are variously called isometric tight frames (Peng and Waldron [6]), normalised tight frames (Fickus [3], Zimmermann [8]) and
To avoid infinite eigenvalues, we restrict ourselves to matrix polynomials with nonsingular leading coefficients.. The case of singular leading coefficients and infinite
Zero entries of TP matrices and zero values of minors are evidence of boundary behavior within the class of TP matrices and, as such, are not arbitrary in nature.. That is,
The results in this paper prove that for a large class of singular two-parameter eigenvalue problems (1.1) one could com- pute all eigenvalues by computing the common
Both algebras are presented by generators and relations, the first has a representation by q -difference operators on the space of symmetric Laurent polynomials in z and the second
Key words: determinants; differential complexes; differential geometry; Einstein metrics; GJMS operators; global invariants; heat kernel; K¨ ahler metrics; Q -curvature; Sobolev