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Displaying 1701 – 1720 of 2028

The addition formula for theta functions.

Mario Bonk (1997)

Aequationes mathematicae

The addition theorem of Weierstrass' s sigma function.

Mario Bonk (1994)

Mathematische Annalen

The algebraic independence of Weierstrass functions and some related numbers

W. Brownawell, K. Kubota (1977)

Acta Arithmetica

The analytic continuation and the order estimate of multiple Dirichlet series

Kohji Matsumoto, Yoshio Tanigawa (2003)

Journal de théorie des nombres de Bordeaux

Multiple Dirichlet series of several complex variables are considered. Using the Mellin-Barnes integral formula, we prove the analytic continuation and an upper bound estimate.

The asymptotics of interlacing sequences and the growth of continual Young diagrams

С.В. Керов (1993)

Zapiski naucnych seminarov POMI

The Bergman kernel: Explicit formulas, deflation, Lu Qi-Keng problem and Jacobi polynomials

Tomasz Beberok (2017)

Czechoslovak Mathematical Journal

We investigate the Bergman kernel function for the intersection of two complex ellipsoids ${(z, w_{1}, w_{2}) \in ℂ^{n + 2} : | z_{1} |^{2} + \dots + | z_{n} |^{2} + | w_{1} |^{q} < 1, | z_{1} |^{2} + \dots + | z_{n} |^{2} + | w_{2} |^{r} < 1} .$ We also compute the kernel function for ${(z_{1}, w_{1}, w_{2}) \in ℂ^{3} : | z_{1} |^{2 / n} + | w_{1} |^{q} < 1, | z_{1} |^{2 / n} + | w_{2} |^{r} < 1}$ and show deflation type identity between these two domains. Moreover in the case that $q = r = 2$ we express the Bergman kernel in terms of the Jacobi polynomials. The explicit formulas of the Bergman kernel function for these domains enables us to investigate whether the Bergman kernel has zeros or not. This kind of problem is called a Lu Qi-Keng problem.

The beta Gumbel distribution.

Nadarajah, Saralees, Kotz, Samuel (2004)

Mathematical Problems in Engineering

The Boubaker polynomials expansion scheme BPES for solving a standard boundary value problem.

Zhang, D.H., Naing, L. (2010)

APPS. Applied Sciences

The Capelli identity, the double commutant theorem and multiplicity-free-actions.

Roger Howe, Toru Umeda (1991)

Mathematische Annalen

The combinatorics of the Al-Salam-Chihara $q$ -Charlier polynomials.

Kim, Dongsu, Stanton, Dennis, Zeng, Jiang (2005)

Séminaire Lotharingien de Combinatoire [electronic only]

The complete ellipsoidal shell-model in EEG imaging.

Giapalaki, S.N., Kariotou, F. (2006)

Abstract and Applied Analysis

The continuous Jacobi transform.

Deeba, E.Y., Koh, E.L. (1983)

International Journal of Mathematics and Mathematical Sciences

The continuous Legendre transform, its inverse transform, and applications.

Butzer, Paul L., Stens, R.L., Wehrens, M. (1980)

International Journal of Mathematics and Mathematical Sciences

The Convergence Rates of Expansions in Jacobi Polynomials.

L.M. Delves, M. Bain (1976/1977)

Numerische Mathematik

The critical values of certain Dirichlet series.

Shimura, Goro (2008)

Documenta Mathematica

The Deformed Trigonometric Functions of two Variables

Marinkovic, Sladjana, Stankovic, Miomir, Mulalic, Edin (2012)

Mathematica Balkanica New Series

MSC 2010: 33B10, 33E20Recently, various generalizations and deformations of the elementary functions were introduced. Since a lot of natural phenomena have both discrete and continual aspects, deformations which are able to express both of them are of particular interest. In this paper, we consider the trigonometry induced by one parameter deformation of the exponential function of two variables eh(x; y) = (1 + hx)y=h (h 2 R n f0g, x 2 C n f¡1=hg, y 2 R). In this manner, we define deformed sine...

Currently displaying 1701 – 1720 of 2028