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Jordan numbers, Stirling numbers and sums of powers

100%

Wituła R., Kaczmarek K., Lorenc P., Hetmaniok E., Pleszczyński M.

Discussiones Mathematicae - General Algebra and Applications

2014

tom 34

nr 2

155-166

In the paper a new combinatorical interpretation of the Jordan numbers is presented. Binomial type formulae connecting both kinds of numbers mentioned in the title are given. The decomposition of the product of polynomial of variable n into the sums of kth powers of consecutive integers from 1 to n is also studied.

Jacobi-Bernoulli cohomology and deformations of schemes and maps

100%

Ran Z.

Open Mathematics

2012

tom 10

nr 4

1541-1591

We introduce a notion of Jacobi-Bernoulli cohomology associated to a semi-simplicial Lie algebra (SELA). For an algebraic scheme X over ℂ, we construct a tangent SELA J X and show that the Jacobi-Bernoulli cohomology of J X is related to infinitesimal deformations of X.

On the apostol-bernoulli polynomials

72%

Luo Q.-M.

Open Mathematics

2004

tom 2

nr 4

509-515

In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161–167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications.

Ograniczanie wyników

2 Open Mathematics

1 Discussiones Mathematicae - General Algebra and Applications

1 Hetmaniok E.

1 Kaczmarek K.

1 Lorenc P.

1 Luo Q.-M.

1 Pleszczyński M.

1 Ran Z.

1 Wituła R.

1 2014

1 2012

1 2004

Wyniki wyszukiwania

Jordan numbers, Stirling numbers and sums of powers

Jacobi-Bernoulli cohomology and deformations of schemes and maps

On the apostol-bernoulli polynomials