Results 231 to 240 of about 446,531 (268)
Some of the next articles are maybe not open access.
Moment representation of Bernoulli polynomial, Euler polynomial and Gegenbauer polynomials
Statistics & Probability Letters, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
On the Kakeya–Eneström Theorem and Gegenbauer Polynomial Sums
SIAM Journal on Mathematical Analysis, 1978An extension of the classical Kakeya–Enestrom theorem is given. As an application we show that for $\lambda \geqq \frac{1}{2}$, $ - 1 0$, $k = 0,1, \cdots ,n$, we have \[\sum_{k = 0}^n {a_k \frac{{C_k^{(\lambda )} (x)}}{{C_k^{(\lambda )} (1)}}z^k \ne 0,\quad | z | \leqq 1,} \] where $C_k^{(\lambda )} $, are the Gegenbauer or ultraspherical ...
openaire +1 more source
New Proof of the Addition Theorem for Gegenbauer Polynomials
SIAM Journal on Mathematical Analysis, 1971The quantity $(\lambda - z)^\rho $ is expanded in Jacobi polynomials $P_n^{(\alpha ,\beta )} (z)$, where $\alpha $, $\beta $, and $\rho $ are unrelated. The known case $\alpha = \beta = - \rho - 1$ is then used in a short proof of the addition theorem for Gegenbauer polynomials.
openaire +1 more source
Polynomials Associated With Gegenbauer Polynomials
The Fibonacci Quarterly, 1981A. F. Horadam, S. Pethe
openaire +1 more source
An expansion for gegenbauer polynomials
USSR Computational Mathematics and Mathematical Physics, 1965openaire +1 more source
A NOTE ON GEGENBAUER POLYNOMIALS
The Quarterly Journal of Mathematics, 1938openaire +2 more sources