Scalar Product of a Vector on a Paradeterminant of a Triangular Matrix and Its Application
Keywords:
three-cornered matrix, paradeterminant, parapermanent, scalar product.Abstract
Determination of scalar product of vector on paradeterminant is given three-cornered matrix, application of this operation is considered to the formal operations analysis with formal sedate rows. The formulas of n-multiple differentiation of the built function and generalization of polynomials laying out of Bell are got an author.
References
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2. Zatorsky R.A. Theory of paradeterminants and its applications // Algebra and Diskrete Mathematics. – 2007. – No1. – Р. 109 - 138.
3.Bell E.T. Partition polynomials // Ann. Math. –1927. – Vol.29. – P. 38 - 46.
4. Серре И.А. Курс высшей алгебры. Второе русское изд. под ред. Л.А. Левенстерна. – М.: Изд-во т-ва М.О. Вольф, 1902. – 452 с.
5. Риордан Д. Комбинаторные тождества. – М.: Наука, 1982. – 256 с.
2. Zatorsky R.A. Theory of paradeterminants and its applications // Algebra and Diskrete Mathematics. – 2007. – No1. – Р. 109 - 138.
3.Bell E.T. Partition polynomials // Ann. Math. –1927. – Vol.29. – P. 38 - 46.
4. Серре И.А. Курс высшей алгебры. Второе русское изд. под ред. Л.А. Левенстерна. – М.: Изд-во т-ва М.О. Вольф, 1902. – 452 с.
5. Риордан Д. Комбинаторные тождества. – М.: Наука, 1982. – 256 с.
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Published
2019-03-08
How to Cite
Заторський, Р. А. (2019). Scalar Product of a Vector on a Paradeterminant of a Triangular Matrix and Its Application. PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number, (1(1), 22–30. Retrieved from https://pvntsh.nung.edu.ua/index.php/number/article/view/338
Issue
Section
Mathematics and Mechanics
