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Nonsingularity of matrices associated with classes of arithmetical functions on lcm-closed sets

โœ Scribed by Shaofang Hong

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
152 KB
Volume
416
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

Nonsingularity of least common multiple
Nonsingularity of least common multiple matrices on gcd-closed sets
โœ Shaofang Hong ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 183 KB

Let n be a positive integer. Let S = {x 1 , . . . , x n } be a set of n distinct positive integers. The least common multiple (LCM) matrix on S, denoted by [S], is defined to be the n ร— n matrix whose (i, j )-entry is the least common multiple [x i , x j ] of x i and x j . The set S is said to be gc

On eigenvalues of meet and join matrices
On eigenvalues of meet and join matrices associated with incidence functions
โœ Pauliina Ilmonen; Pentti Haukkanen; Jorma K. Merikoski ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 166 KB

Let (P , , โˆง) be a locally finite meet semilattice. Let S = {x 1 , x 2 , . . . , x n }, x i x j โ‡’ i j, be a finite subset of P and let f be a complex-valued function on P . Then the n ร— n matrix (S) f , where is called the meet matrix on S with respect to f . The join matrix on S with respect to f

On certain classes of meromorphically mu
On certain classes of meromorphically multivalent functions associated with the generalized hypergeometric function
โœ M.K. Aouf; M.F. Yassen ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 804 KB

Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), involving the generalized hypergeometric function, we introduce two novel subclasses โ„ฆ p,q,s (ฮฑ 1 ; A, B, ฮป) and โ„ฆ + p,q,s (ฮฑ 1 ; A, B, ฮป) of meromorphically multivalent functions of order ฮป (0